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Transcript of GPS / GNSS Technical Training Courses
LEADING THE WAY FOR 30+ YEARS
Unsurpassed GPS/GNSS technical training demands experence, expertise and world-class instructors.
Your source for GNSS training & equipment
GPS/GNSS Technical Training Courses
www.NavtechGPS.com • 800.628.0885 • +1.703.256.8900 • Woman-Owned Small Business
NavTeChGPS 2016 Fall GPS/GNSS COurSeS
NavtechGPS is the company that started it all more than 30 years ago.
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About Our On-Site and Public Courses
GPS/GNSS TrainingNavtechGPS is a world leader in GPS/GNSS education with more than 30 years of experience and a comprehensive list of course offerings. Our courses are taught by world-class instructors who have trained thousands of GNSS professionals.
Our CoursesOur Public Course Venues. We host our most requested courses each year for individuals to attend. Of course, any of our seminars can be brought directly to your location.
Our On-Site Courses. Many of our clients prefer that we bring our classes to them. Our on-site courses are often more economical because there is no travel involved and the per-person fee is lower. On-site training also allows us to tailor a course to your specific needs. You can request one of the classes listed in this catalog or a combination of any of these classes to be taught at your facility. We make it easy for you. We will guide you through the process and help you with the logistics.
CONTENTS
About Our On-Site and Public Courses ..........................................................................................................................................................................................................................2
Instructors and Authors ........................................................................................................................................................................................................................................................3
Public Venue GPS/GNSS Courses .......................................................................................................................................................................................................................................6
Course 346: GPS / GNSS Operation for Engineers & Technical Professionals† .............................................................................................................................7
Course 122 (or 123): GPS / GNSS Fundamentals & Enhancements† ..................................................................................................................................................................8
Course 356: GPS / GNSS and DGPS Operation for Engineers & Technical Professionals: ...........................................................................................................................9
Course 356B: GPS / GNSS Operations, DGPS, GPS Signals & Processing ...................................................................................................................................................... 10
Course 336: GPS / GNSS Fundamentals, Enhancements and Intro to Differential GPS
Course 136: Practical GPS / GNSS for Professional Users and Technicians .................................................................................................................................................... 12
Course 324: Military GPS User Equipment Vulnerability Assessment & Mitigation for Military Groups .......................................................................................... 13
Course 541: Using Advanced GPS/GNSS Signals and Systems (4 Days) ........................................................................................................................................................ 14
NeW! Course 556: Inertial Systems, Kalman Filtering and GPS/INS Integration ....................................................................................................................................... 15
REGISTRATION FORMS and Public Course Fees ....................................................................................................................................................................................................... 16
Our ExperienceWe have been presenting our courses internationally and domestically to civil, military and governmental organizations since 1984. Our instructors are leaders in their specialized GNSS fields. Learn from them at our public venues or let us bring their expertise to you.
Contact Us We want to provide you with the best possible experience from beginning to end. Please contact me. I would like to answer your questions, register you, and provide you with information about all your training options.
Please Call Me Carolyn McDonald*[email protected]
Carolyn McDonald* CEO, President and Seminar Director
†NavtechGPS is a Florida approved provider for Courses 122 and 346.
*Carolyn is the 2015 receipient of The Institute of Navigation Norman P. Hays Award for the development and production of over 30 years of engineering tutorials in the filed of satellite navigation, timing and inertial navigation; and for development and sustatined support of the ION's conference programs.
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Instructors and Authors
Penina Axelrad, Ph.D., is a professor in the Department of Aerospace Engineer-ing Sciences at the University of Colorado
at Boulder, where she teaches both undergraduate and graduate courses and conducts research primarily on GPS topics. Her research interests include time transfer, personal naviga-tion, GPS-based orbit and attitude determination for spacecraft in LEO and HEO, multipath characterization and correction for spacecraft, aircraft, and ground reference stations, and remote sensing using GPS based bistatic radar and occultation mea-surements. From 1990 to 1992 she was with Stanford Telecommunications doing work in time transfer systems, kinematic GPS algorithms, and inte-grated GPS/INS. She is a fellow of the U.S. ION and the AIAA and the recipi-ent of the 1996 Lawrence Sperry Award from the AIAA, the 2003 Tycho Brahe Award from the U.S. ION and the 2009 Johannes Kepler Award from the ION Satellite Division.
John Betz, Ph.D., is a fellow of The MITRE Corporation and has worked extensively in the design of modern GNSS signals and the
development and performance assess-ment of GNSS receiver processing. As a key contributor to the design of the GPS M-code signal, he led the design of its spreading modulation and acqui-sition, and developed the binary offset carrier (BOC) modulation as part of that effort. Betz contributed to the
design of the GPS L1C signal and has represented the United States in tech-nical working groups to achieve com-patibility and interoperability of GPS with Galileo, GLONASS, COMPASS, QZSS, and IRNSS.
He has been a member of the U.S. Air Force Scientific Advisory Board since 2004 and served as its chair from 2008 until 2011. As chair, he led 52 distinguished engineers and scientists, selected from academia and industry, who provide technical advice to Air Force senior leadership.
Betz has received many awards for his work, including a U.S. State Department Superior Honor Award for extraordinary contributions to the U.S. diplomatic efforts in the successful U.S.-European Union negotiations on GPS and Galileo cooperation and being named a fellow of the IEEE and of The Institute of Navigation (the ION). Five of his journal papers have received annual outstanding paper awards from the Institute of Navigation, the IEEE Professional Societies and from MITRE. At ION GNSS 2013, Dr. Betz was awarded the Satellite Division's highest honor, the Johannes Kepler Award, for his contributions to the GNSS signal modernization and to the compatibility and interoperablity of gloval navigation satellite systems. Dr. Betz is a co-inventor on four patents or patent applications and has authored or co-authored more than 50 publica-tions including book chapters, journal articles and conference papers. Dr. Betz is also a member of the Navtech-GPS advisory board.
He received his Ph.D., in electri-cal and computer engineering from Northeastern University.
Franck Boynton, NavtechGPS VP and CTO, heads the NavtechGPS product division. NavtechGPS sells GPS and GNSS
products from over 30 leading manu-facturers and offers technical advice on complex precise positioning proj-ects in addition to offering technical GNSS training through its seminar division. Since 1988, Boynton has been involved in the testing and operation of GNSS receivers, antennas, boards, data link products and related equip-ment. He is certified by several manu-facturers for sales, operation and training on high accuracy receiver sys-tems and OEM products. He specializes in custom system development and the design and implementation of high performance GNSS components. Boynton is a member of The Institute of Navigation and won a "Best Paper" award for GPS applications at the ION GNSS 2003 meeting. He has also co-chaired sessions at past ION meetings and co-chaired "New Products and Commercial Services" at ION GNSS+ 2013. He is a NavtechGPS technical board member and a corporate officer.
Michael S. Braasch, Ph.D., P.E., is the Thomas Professor of Electri-cal Engineering and has served as the
director of the Avionics Engineering Center at Ohio University. His research includes GPS receiver design, GPS/INS integration, multipath mitigation, advanced cockpit displays and UAV operational safety analysis. Dr. Braasch
has served as a technical advisor both to the FAA and the International Civil Aviation Organization (ICAO) in the area of precision approach and landing systems, and he has received interna-tional recognition for his work on characterizing the effects of multipath on GPS/GNSS accuracy. As co-founder of the company GPSoft, Dr. Braasch has been instrumental in the develop-ment the Satellite Navigation (SatNav) Toolbox, the Inertial Navigation Sys-tem (INS) Toolbox, and the Navigation System Integration & Kalman Filter Toolbox for MATLAB. Dr. Braasch is a fellow of the ION, a senior member of the IEEE, is an instrument-rated com-mercial pilot and is a licensed profes-sional engineer in the State of Ohio.
Christopher Hegarty, D.Sc., is a director with The MITRE Corporation, where he has worked mainly on aviation
applications of GNSS since 1992. He is currently the chair of the Program Management Committee of RTCA, Inc., and co-chairs RTCA Special Committee 159 (GNSS). He served as editor of NAVIGATION: The Journal of the Insti-tute of Navigation from 1997 – 2006 and as president of the Institute of Navigation in 2008. He was a recipient of the ION Early Achievement Award in 1998, the U.S. Department of State Superior Honor Award in 2005, the ION Kepler Award in 2005, and the Worces-ter Polytechnic Institute Hobart Newell Award in 2006. He is a fellow of the ION, a 2011 fellow of the IEEE, and a
NavtechGPS has been leading the way in GPS/GNSS training for over 30
years. We hire the world's leading authorities to teach YOU so you have
the latest information to develop top-level skills to execute your mission.
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co-editor/co-author of the textbook Understanding GPS: Principles and Applications, 2nd edition.
Stephen Heppe, D.Sc., operates Telen-ergy, Inc., an engi-neering consulting firm specializing in
telecommunications, navigation, spec-trum management and product integra-tion. He received his BSEE/CS from Princ-eton University in 1977 and his master's and doctorate from The George Wash-ington University in 1982 and 1989, respectively. Dr. Heppe has been work-ing with GPS and GNSS since 1980. He led SC159/WG6 from 1993 through 1997 (first version of DO-235). Participating in RTCA, ICAO, and the ITU, he has also sup-ported the development of standards for WAAS, SCAT-I and GBAS, as well as ADS-B and VHF Data Link Mode 4.
Dr. Heppe was the communica-tions lead on an early DGPS precision approach demonstration for the U.S. Navy. While working at Insitu, Inc., he developed a ship-borne moving-reference RTK system for recovery of the ScanEagle UAV. Dr. Heppe is a member of the IEEE, the RTCA and The Institute of Navigation.
Alan J. Pue, Ph.D., is the chief scientist of the Air and Missile Defense Sector at The Johns Hopkins University
Applied Physics Laboratory. Since 1974,
he has worked on a wide variety of guid-ance, control, and navigation projects, including automated ground vehicle con-trol research, space telescope pointing control, and missile guidance, naviga-tion, and control. During this time, Dr. Pue has specialized in the design, inte-gration and testing of advanced INS/GPS systems. He has led numerous system concept and requirements studies of national and international significance involving system concept definition, incorporation of advanced technologies, performance assessment, and system engineering trades. Dr. Pue is frequently asked to consult and serve on engineer-ing review boards for major acquisition programs. For over 30 years, Dr. Pue has been a graduate lecturer on linear sys-tems theory and control system design methods for The Johns Hopkins University.
James Sennott, Ph.D., is the presi-dent of Tracking and Imaging Systems, Inc. (TISI), which special-
izes in advanced GPS software and hardware development for civilian and military markets. His expertise includes navigation/estimation theory, deep integration receiver architec-tures, GPS-IMU real time and desktop simulation methods, multiple access techniques, and spread-spectrum communications.
He has been faculty fellow with the U.S. DoT Volpe Center and NASA
Goddard, applying waveform estima-tion theory and advanced micropro-cessor families to GPS-user equipment and surveillance systems. Through this work, he developed architectures for single "chip" implementations of GPS. He is a pioneer in the area of integrated demodulation-navigation and ultra-tight coupling, holding fun-damental patents in this and related GPS application areas.
At Howard University, he researched multiple access spread spectrum and radio navigation sys-tems. Earlier, he analyzed satellite and other techniques applied to navigation and air traffic control for the Transpor-tation Systems Division of The MITRE Corporation. Dr. Sennott has been the recipient of the Rothburg Professional Excellence Award as an outstanding researcher at Bradley University, and he has served on the National Acad-emy of Engineering Committee on the Future of GPS.
He received his B.S. degree in electrical engineering from the Uni-versity of Delaware and his M.S. and Ph.D. degrees from Carnegie Mellon University.
Frank van Diggelen, Ph.D., has been in the navigation field almost all of his life. He became a naviga-
tion officer in the South African Navy before going on to college. Since then he has worked on GPS, GLONASS and
A-GPS for Navsys, Ashtech, Magellan and Global Locate. With the acquisi-tion of Global Locate by Broadcom, he is now technical director for GPS Sys-tems and chief navigation officer of Broadcom Corporation. When not working on GPS technical issues and design, he is navigator and tactician on a racing yacht in Santa Cruz, Cali-fornia. Dr. van Diggelen is the inventor of coarse-time GNSS navigation, a co-inventor of long-term orbits for assisted GPS, and holds over 40 U.S. patents on assisted GPS. He is the author of the first textbook on assisted GPS, A-GPS: Assisted GPS, SBAS and GNSS, published in 2009 by Artech House. He has taught numerous GPS classes for, among others, NavtechGPS, GIS World and the IEEE. Over the past decade more than 500 people have attended Dr. van Diggelen’s GPS classes. He has a Ph.D. in electrical engineering from Cambridge Univer-sity, England. Dr. Van Diggelen is a member of NavtechGPS' advisory board.
Michael Vaujin, works for an engineer-ing firm in Tucson, Ari-zona. He has over 25 years experience in the field of aerospace,
navigation and defense. He designs aided strapdown navigation solutions for land, sea, and airborne platforms using munition, tactical and naviga-tion grade IMUs.
Instructors and Authors
Need On-Site Training?We can bring any of our courses to you. Contact us about our convenient and economical on-site training options
Call Carolyn McDonald for more information at +1-703-256-8900).
Call Carolyn!Call me at 1-800-628-0885 or +1-703-256-8900; e-mail: [email protected] for any information about our courses or to arrange for a course at your location.
Carolyn McDonald President & Seminar Director
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Products from 30+ ManufacturersNavtechGPS offers in-house expertise on a wide range of components and systems from over 30 manufacturers.
Customized systems using off-the-shelf components Indoor locating and positioning system in GPS-denied areas Hand-held GNSS jamming & interference detection GNSS heading and attitude Differential subscription services Signal distribution products GPS development software Post-processing software GPS Inertial Navigation OEM receiver boards Customized cables GIS equipment GPS/GNSS Simulators GNSS Antennas RTK systems PPP systems SBAS
Did You Know that NavtechGPS® Is Also A Distributor of GPS/GNSS Hardware?
NavCom SF-3050StarFire™ RTK/Sensor
Expertise and ExperienceNavtechGPS has over nearly 30 years of experience in GPS, GNSS and precise positioning technology. We deliver innovative solutions for military, commercial and research COTS (commercial off-the-shelf ) integration projects. NavtechGPS® has been a critical team member on hundreds of complex projects, for:
Unmanned air/ground/maritime vehicles Precise recovery/docking systems Reconnaissance for geolocation applications Mobile surveillance vehicles Precise attitude/heading system applications PNT (position, navigation and timing) applications RF networking system design and installation, also known
as distributed antenna systems (DAS).NovAtel
GNSS-750 Multi- Constellation Antenna
Hemisphere Vector 320 GNSS Compass (an all-in-one professional heading
and positioning receiver)
Your ONE Source for GNSS Products and Solutions
Trimble BD930 GNSS Receiver With Centimeter Accuracy
VN-300 Dual Antenna GPS-Aided INS
Septentrio AsteRx4 OEM GNSS Receiver (Multi-frequency and multi-constellation
dual antenna receiver)
NovAtel FlexPak6 Enclosure
Contact Us! +1-703-256-8900 +1-703-256-8988, fax800-628-0885, u.S. toll freewww.NavtechGPS.com
He received his B.S.E.E. from the University of Florida in 1987 and his M.S.E.E. degree from the University of South Florida in 1991. During his 16 years at Honeywell Aerospace, he was awarded five patents in aided navigation and developed and taught an in-house technical course on inertial navigation error equations. In his three years at Tracking & Imaging Systems, Inc. in St. Petersburg, Florida, he developed all the navigation and Kalman filtering software needed to support a test range tracking applica-tion. At the 2010 Institute of Naviga-tion GNSS conference, he was asked to present at a special panel celebrating the 50th anniversary of the invention of the Kalman filter.
Phillip W. Ward is president of Navward GPS Consulting, which he founded in 1991. Previously, he was a
senior member of the technical staff at Texas Instruments (TI) in the Defense Systems & Electronics Group. He devel-oped five generations of GPS receivers for TI, including the first commercially available GPS receiver, the TI-4100. Mr. Ward served as president of the ION from 1992 to 1993 and as chair of the ION Satellite Division from 1994 to 1996. In 2001, he became the ION's first congressional fellow. In 1989, he received the ION navigation award in memory of Colonel Thomas L. Thurlow for developing the first successful GPS receiver for geodetic surveying (the TI-4100), and he received the Johannes Kepler Award for lifetime achievement from the ION Satellite Division in 2008. GPS World included him in its “50+ Leaders to Watch” for 2008/2009 and honored him with its “GPS Hero Award” in 2010 “for out-standing leadership, commitment and service to the global positioning sys-tem.” Mr. Ward is a fellow member of the ION, a senior member of the Insti-tute of Electrical and Electronics Engi-neers, and a registered professional engineer in Texas.
He received his B.S.E.E. from the University of Texas at El Paso and his M.S.E.E. from Southern Methodist University.
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November 14 – 18, 2016 Falls Church (Tysons Corner), virginia
MONDAY (11/14) TUESDAY (11/15) WEDNESDAY (11/16) THUrSDAY (11/17) FrIDAY (11/18)
Course 346: GPS/GNSS Operations for Engineers and Technical Professionals (4 Days) Taught by Dr. Chris Hegarty, Consultant
Course 122: GPS/GNSS Fundamentals and Enhancements (Days 1 and 2 of Course 346) Taught by Dr. Chris Hegarty
Course 556: Inertial Systems, Kalman Filtering and GPS / INS Integration (4.5 Days) (Course ends Friday at lunch)Taught by Mr. Michael Vaujin, Aerospace, Navigation & Defense Consultant and Dr. Alan Pue, Johns Hopkins, APL
(Attendees who do not need the Monday morning review, may opt out. See registration form for price reduction.)
Course 541: Using Advanced GPS/GNSS Signals and Systems (4 Days) Taught by Dr. John Betz, MITrE
Fall 2016 Public venue GNSS CoursesRegistration Forms Located at Back or Download from Our Website
Instructors
Mr. Michael VaujinAerospace, Navigation & Defense Consultant
Dr. Chris HegartyMITRE
Dr. Alan PueJohns Hopkins University
WHAt AttENDEES HAVE SAID ABOUt OUR COURSES
About Course 346"The instructor is excellent. Dr. Hegarty is a very good presenter [who] shows a deep
knowledge and a passion and active way of presenting." — Salvador La Casta, Eurpoean Patent Office ; April 2015, Springfield, VA
"My main objective was to solidify the on the job training I’ve had thus far as a navigation engineer with my company. The instruction under course 346 met that main objective and exceeded it by expanding my knowledge of global positioning systems, DGPS, and Kalman filtering. For aviation and military applications, especially being a new engineer in the field, this class formed a base from which to learn more in-depth knowledge as well as to contribute to aircraft design improvement as GPS continues to evolve and advance."
— Margaret Alfafara, Northrop Grumman; December 2014, San Diego
"Dr. Hegarty explained everything in a very easy to understand manner without dwelling on topics too long. His teaching style was very effective. His demeanor made it comfortable to ask several questions without feeling intimidated."
— Anthony Pham, Northrop Grumman; December 2014, San Diego
"There are many bright scientists and engineers, but very few are bright and gifted in teaching. Even fewer could explain each part of a very complex equation in simple layman’s term. Dr. Hegarty got my full attention. I would highly recommend this course to my peers if Dr. Hegarty is teaching it."
— Sigong Ho, NovAtel; February 2014About Course 556/546
"My main objective was to familiarize myself with the basic concepts of inertial navigation and learn the challenges of integration of INS and GPS. The course has
met them. I feel empowered by the material and the knowledge that the instructor transferred to us."
— Dmitri Baraban, The MITRE Corporation; April 2015, Springfield, VA
"This course would be almost impossible to replicate at a university without taking several courses that would only comment on the subject. Having it all in one place over two days is well worth the money."
— Ed May, i40 International, LLC; April 2015, Springfield, VA
"[My main objective was to] better understand transfer alignment and the theoretical construct of a tightly coupled GPS/INS Kalman filter. It definitely met my objectives."
— Robert McBride, Boeing; April 2015, Springfield, VA
"This was a very good introduction to the different Kalman filter architectures available. While very fast paced, I feel I got a lot out of this class. Mike is a great instructor. Mike is very detail focused and [I] loved the fact that he provided MATLAB® examples for his lectures."
— Gilberto Sada, L-3 Com; December 2014, San Diego, CA
About Course 541“ Dr. John Betz’ course 541 on advanced GNSS signals and systems has been very
helpful, especially when implementing algorithms to support newer constellations. I took this course in September 2013 and it was immediately useful upon my return to work. Also, the course notes have been a reference that I value highly and refer to frequently.”
— Premal Madhani , September 2013, San Diego, CA
T he Westin Tysons Corner Hotel is located near the largest and most glamourous shopping and dining mall in Northern Virginia. From IAD. The closest airport is Dulles International Airport (IAD). Take a Super
Shuttle or taxi from IAD to the Westin Tysons Corner Hotel. From DCA. The next closest airport is Ronald Reagan Washington National Airport (DCA), from which you can take the Metro subway system to Tysons Corner on the Silver Line.
By train. From Washington, D.C.'s Union Station, take the Red Line Metro to the Silver Line to either the Tysons Corner or Greensboro station. Upon arrival at either station, take a taxi to the hotel. If you bring the family, they can enjoy trips into Washington, D.C. for endless sightseeing. Visit historic government buildings and residences, monuments and museums and a host of performing arts theaters, museums and cultural activities.
Sleeping room rates: $179 per night for all NavtechGPS attendees. Includes full breakfast and an evening snack, free parking, free Internet access and free shuttle to Metro. This rate is good November 13 through November 19, 2016, subject to availabilty.You must book by October 24 to get the discounted rate. Details: www. NavtechGPS.com.
Crowne Plaza Redondo Beach Marina & Hotel
Dr. John BetzMITRE
7801 Leesburg Pike • Falls Church, Virginia 22043 USA
7To regisTer or for more informaTion, Contact Carolyn McDonald at (703) 256-8900 or [email protected].
COUrSE 346 (2.4 CEUs)GPS / GNSS Operations for Engineers & Technical Professionals (A 4-Day Course): Principles, Technology, Applications and an Introduction to Basic DGPS Concepts
DAYS 1 AND 2 MAY BE TAKEN AS A SEPArATE COUrSE (COUrSE 122/123). SEE rEGISTrATION FOrM
DAY 1 DAY 2 DAY 3 DAY 4
Dr. Stephen Heppe will be the redondo Instructor Dr. Chris Hegarty will be the Falls Church Instructor
8:30 Fundamentals of GPS operation. Overview of how the system works. U.S. policy and current status.
GPS System Description ● Overview and terminology ● Principles of operation ● Augmentations ● Trilateration ● Performance overview ● Modernization
GPS Policy and Context ● Condensed navigation system history ● GPS policy and governance ● Modernization program ● Ground segment ● Other satellite navigation systems
GPS Applications ● Land ● Marine ● Aviation ● Science ● Personal navigation ● Accuracy measures ● Error sources
GPS Principles and Technologies
Clocks and Timing ● Importance for GPS ● Timescales ● Clock types ● Stability measures ● Relativistic effects
Geodesy and Satellite Orbits ● Coordinate frames and geodesy ● Satellite orbits ● GPS constellation ● Constellation maintenance
Satellites and Control Segment ● GPS satellite blocks ● Control segment components and operation ● Monitor stations, MCS, and ground antennas ● Upload operations ● Ground control modernization
Differential GPS Overview ● Local- and wide-area architectures ● Code vs. carrier-phase based systems ● Data links; pseudolites ● Performance overview
Differential Concepts ● Differential error sources ● Measurement processing ● Ambiguity resolution ● Error budgets
DGPS Standards and Systems ● RTCM SC104 message format ● USCG maritime DGPS and National DGPS (NDGPS)
● Commercial satellite-based systems ● Aviation systems: satellite-based and ground-based (SBAS/GBAS)
● RINEX format, CORS and IGS networks ● Precise time transfer
GPS Signal Processing ● In-phase and quadra-phase signal paths ● Analog-to-digital (A/D) conversion ● Automatic gain control (AGC) ● Correlation channels ● Acquisition strategies
Code Tracking, Carrier Tracking & Data Demodulation
● Delay locked loop (DLL) implementations; performance
● Frequency locked loops (FLLs) ● Phase locked loops (PLLs) ● Carrier-aiding of DLLs ● Data demodulation
receiver Impairments and Enhancements ● Impairments - bandlimiting, oscillators, multipath, interference
● Enhancements - carrier smoothing, narrow correlator, codeless/semicodeless track-ing, vector tracking, external aiding
Lunch is on your own
5:00
Legacy GPS Signals ● Signal structure and characteristics ● Modulations: BPSK, DSSS, BOC ● Signal generation ● Navigation data
Measurements and Positioning ● Pseudorange and carrier phase measurements
● Least squares solution ● Dilution of precision ● Types of positioning solutions
GPS receiver Basics ● Types of receivers ● Functional overview ● Antennas
Error Sources and Models ● Sources of error and correction models ● GPS signals in space performance ● Ionospheric and tropospheric effects ● Multipath ● Error budget
Augmentations and Other Constellations ● Augmentations: local-area, satellite-based, and regional
● Russia’s GLONASS ● Europe’s Galileo ● China’s Compass (BeiDou)
Precise Positioning ● Precise positioning concepts ● Reference station networks ● RINEX data format
GPS Signal Structure and Message Content ● Signal structure ● Signal properties ● Navigation message
GPS receiver Overview ● Functional overview ● Synchronization concepts ● Acquisition ● Code tracking ● Carrier tracking ● Data demodulation
GPS Antennas ● Antenna types ● Antenna performance characteristics ● Prefilters ● Low-noise amplifiers (LNAs) ● Noise figure
GPS Navigation Algorithms: Point Solutions
● Pseudorange measurement models ● Point solution method and example
Introduction to Kalman Filtering ● Algorithm overview ● Process and measurement models for navigation
● Simulation examples
Practical Aspects ● Types of GPS and DGPS receivers ● Understanding specification sheets ● Data links ● Antennas ● Receiver and interface standards ● Accessories ● Supplemental notes: Tracing a GPS signal through a receiver
Course ObjectivesThis is a 4-day version of our popular 5-day Course 356, condensed to save you time and money. It puts less emphasis on DGPS and Kalman filtering. Attendees will still get a comprehensive introduction to GPS, an overview of DGPS technology, system concepts, design, operation, and introduction to Kalman filtering, implementation and applications. This course is designed to give you
� A comprehensive introduction to GPS, system concepts, an introduction to differential GPS (DGPS), design, operation, implementation and applications.
� Detailed information on the GPS signal, its processing by the receiver, and the techniques by which GPS obtains position, velocity and time.
� Current information on the status, plans, schedule and capabilities of GPS, as well as of other satellite-based systems with position velocity and time determination applications.
� Information to fill the technical gaps for those working in the GPS and GNSS fields.
Who Should Attend?Excellent for engineering staff who need to be rapidly brought up to speed on GPS, and for those already working in GPS who need exposure to the system as a whole in order to work more effectively.
PrerequisitesFamiliarity with engineering terms and analysis techniques. General familiarity with matrix operations and familiarity with signal processing techniques is desirable.
Materials You Will Keep � A color electronic copy of all course notes will be provided on a USB Drive or
CD-ROM. Bringing a laptop to this class is highly recommended for taking notes using the Adobe® Acrobat® sticky notes feature; power access will be provided.
� A black and white hard copy of the course notes will also be provided.
Course Fee Entitles You to the Following Books Understanding GPS: Principles and Applications, 2nd ed., Elliott Kaplan & Chris Hegarty, Eds., Artech House, 2006, Or Global Positioning System: Signals, Measurement and Performance, P. Misra and P. Enge, 2nd ed., 2011. (Note: This arrangement does not apply to on-site contracts. Any books for on-site group contracts are negotiated on a case by case basis.)
What Attendees Have Said"[Dr. Hegarty] is absolutely a wonderful instructor. Very knowledgeable in all areas of GPS. No matter what questions anyone had, he was perfectly able to confidently answer those questions."
— Hamid R. Tabanro, John Deere (Course 346, April 2014)
"Excellent instructional knowledge. Ability to explain complex topics in a very digestible way, bringing very good technical insight to a student of GPS."
— Dmitri Baraban, MITRE; April 2014
"Really great, not a wasted word. He [Dr. Hegarty] really knows his stuff and answered all questions in great detail."
— Grismika Gupta, NovAtel; February 2014
Dr. Chris Hegarty Dr. Michael Braasch
Dr. Stephen Heppe
OR ORMarch 15– 18, 2016 Crowne Plaza Redondo Beach Hotel300 N. Harbor DriveRedondo Beach, California 90277
November 15 – 18, 2016 Westin tysons Corner Hotel7801 Leesburg PikeFalls Church, Virginia 22043
8 To regisTer or for more informaTion, Contact Carolyn McDonald at (703) 256-8900 or [email protected].
SAME AS DAYS 1 AND 2 OF COUrSE 346. SEE rEGISTrATION FOrM
DAY 1 DAY 2
Dr. Stephen Heppe, Consultant
8:30 Fundamentals of GPS operation. Overview of how the system works. U.S. policy and current status.
GPS System Description ● Overview and terminology ● Principles of operation ● Augmentations ● Trilateration ● Performance overview ● Modernization
GPS Policy and Context ● Condensed navigation system history ● GPS policy and governance ● Modernization program ● Ground segment ● Other satellite navigation systems
GPS Applications ● Land ● Marine ● Aviation ● Science ● Personal navigation ● Accuracy measures ● Error sources
GPS Principles and Technologies
Clocks and Timing ● Importance for GPS ● Timescales ● Clock types ● Stability measures ● Relativistic effects
Geodesy and Satellite Orbits ● Coordinate frames and geodesy ● Satellite orbits ● GPS constellation ● Constellation maintenance
Satellites and Control Segment ● GPS satellite blocks ● Control segment components and operation ● Monitor stations, MCS, and ground antennas ● Upload operations ● Ground control modernization
Lunch Is On Your Own
5:00
Legacy GPS Signals ● Signal structure and characteristics ● Modulations: BPSK, DSSS, BOC ● Signal generation ● Navigation data
Measurements and Positioning ● Pseudorange and carrier phase measurements ● Least squares solution ● Dilution of precision ● Types of positioning solutions
GPS receiver Basics ● Types of receivers ● Functional overview ● Antennas
Error Sources and Models ● Sources of error and correction models ● GPS signals in space performance ● Ionospheric and tropospheric effects ● Multipath ● Error budget
Augmentations and Other Constellations ● Augmentations: local-area, satellite-based, and regional ● Russia’s GLONASS ● Europe’s Galileo ● China’s Compass (BeiDou)
Precise Positioning ● Precise positioning concepts ● Reference station networks ● RINEX data format
COUrSE 122 (Or 123) (1.2 CEUs) GPS / GNSS Fundamentals & EnhancementsDays 1 and 2 of Course 346 or Course 356
Objectives � To give an comprehensive introduction to GPS technology, system concepts, design,
operation, implementation and applications. � To provide detailed information on the GPS signal, its processing by the receiver, and
the techniques by which GPS obtains position, velocity and time
Prerequisites � Some familiarity with engineering terms is helpful but not essential.
Who Should Attend? � Engineers and technical professionals seeking conceptual explanations of GPS /
GNSS technology, operation, capabilities, applications, and development trends � Professionals in navigation, positioning, and related fields who are concerned with the
capabilities, operation and principles of GPS and related GNSS systems. � System analysts and specialists who need general information on position data and its
use. � Managers concerned with GPS, GNSS activities, or the positioning field.
Materials You Will Keep � A color electronic copy of all course notes will be provided on a USB Drive or
CD-ROM. Bringing a laptop to this class is highly recommended for taking notes using the Adobe® Acrobat® sticky notes feature; power access will be provided.
� A black and white hard copy of the course notes will also be provided.
Course Fee Entitles You to the Following Books Introduction to GPS: The Global Positioning System, 2nd ed., Ahmed El-Rabbany, Artech House, 2006., Or Global Positioning System: Signals, Measurement and Performance, P. Misra and P. Enge, 2nd ed., 2011. (Note: This arrangement does not apply to on-site contracts. Any books for on-site group contracts are negotiated on a case by case basis.)
Dr. Stephen Heppe will be the instructor for the Redondo Beach, California class.
Dr. Chris Hegarty will be the instructor for the Fall Church (tysons Corner), Virginia class.
JUST NEED THE FUNDAMENTALS?Take Course 122, which covers all the major areas of GPS. It is the same as days 1 and 2 of Course 346. (Course 346 drills deeper on days 3 and 4.)
Dr. Stephen Heppe
Instructors
Dr. Chris Hegarty Dr. Michael Braasch
Or
March 15– 16, 2016 Crowne Plaza Redondo Beach Hotel300 N. Harbor DriveRedondo Beach, California 90277
November 15–16, 2016 Westin tysons Corner Hotel7801 Leesburg PikeFalls Church, Virginia 22043
9To regisTer or for more informaTion, Contact Carolyn McDonald at (703) 256-8900 or [email protected].
On-Site at Your Location
Course Objectives � To give you a comprehensive introduction to GPS and DGPS technology, system
concepts, design, operation, implementation and applications, including critical information on DGPS and Kalman filtering concepts.
� To provide detailed information on the GPS signal, its processing by the receiver, and the techniques by which GPS obtains position, velocity and time.
� To present current information on the status, plans, schedule and capabilities of GPS, as well as of other satellite-based systems with position velocity and time determination applications.
� To fill in technical information gaps for those working in the GPS and GNSS fields. � This course has two highly respected instructors who bring their unique experiences
and professional expertise to the class.
Who Should Attend?Excellent for engineering staff who need to be rapidly brought up to speed on GPS, and for those already working in GPS who need exposure to the system as a whole in order to work more effectively.
PrerequisitesFamiliarity with engineering terms and analysis techniques. General familiarity with matrix operations is desirable for Thursday and Friday, and familiarity with signal processing techniques is desirable for Wednesday through Friday. (The materials for days 3, 4 and 5 of Course 356 are more intensive than what is taught in Course 346.)
Materials You Will Keep � A color electronic copy of all course notes will be
provided on a USB Drive or CD-ROM. Bringing a laptop to this class is highly recommended for taking notes using the Adobe® Acrobat® sticky notes feature; power access will be provided.
� A black and white hard copy of the course notes will also be provided.
Course Fee Entitles You to a Book Allowance Book allowances for on-site group contracts are negotiated as part of the contract.
What Attendees Have Said"[My objective was to] gain a better understanding of GPS operating principles with a focus on error sources and differential GPS. I thought [Dr. Hegarty’s] teaching style was excellent. He specifically tailored his approach to the small classroom environment with significant student interaction: True teaching versus lecturing. [I would recommend this course to] system engineers requiring more than a black box knowledge of GPS."_ Jim Sabin (Organization withheld upon request), March 2011, San Diego, California
COUrSE 356 (CEUs: 356, 3.0; 356B, 1.8; 122, 1.2; 336: 1.8)GPS / GNSS and DGPS Operations for Engineers & Technical Professionals:Principles, Technology, Applications and DGPS Concepts (A 5-day course)
Monday & Tuesday Can Be Taken as Course 122 (123)Monday, Tuesday and Wednesday Can Be Taken as Course 336
Wednesday Through Friday can be taken as Course 356B (assumes knowledge of Course 122 material)
MONDAY TUESDAY WEDNESDAY THUrSDAY FrIDAY
Dr. Michael Braasch, Ohio University Dr. Chris Hegarty, MITrE
8:30 Fundamentals of GPS operation. Overview of how the system works. U.S. policy and current status.
GPS System Description ● Overview and terminology ● Principles of operation ● Augmentations ● Trilateration ● Performance overview ● Modernization
GPS Policy and Context ● Condensed navigation system history
● GPS policy and governance ● Modernization program ● Ground segment ● Other satellite navigation systems
GPS Applications ● Land ● Marine ● Aviation ● Science ● Personal navigation ● Accuracy measures ● Error sources
GPS Principles and Technologies
Clocks and Timing ● Importance for GPS ● Timescales ● Clock types ● Stability measures ● Relativistic effects
Geodesy and Satellite Orbits ● Coordinate frames and geodesy ● Satellite orbits ● GPS constellation ● Constellation maintenance
Satellites and Control Segment ● GPS satellite blocks ● Control segment components and operation ● Monitor stations, MCS, and ground antennas ● Upload operations ● Ground control modernization
Differential GPS Overview● Local-area, regional-area,
wide-area architectures● Code vs. carrier-phase
based systems● Pseudolites● Performance overview
Differential Error Sources● Satellite ephemeris errors● Satellite clock errors● Selective availability● Ionospheric, tropospheric
delay● Multipath● Receiver internal noise,
biases
Observable Modeling● Code pseudorange and
carrier-phase outputs● Code-minus-carrier
observables● Carrier-smoothed code
operation● Double difference operation● System error budgets
GPS Signal Structure and Message Content● Signal structures● Signal properties ● Navigation message
GPS receiver Overview● Functional overview● Synchronization concepts● Acquisition● Code tracking● Carrier tracking● Data demodulation
GPS Antennas● Antenna types● Antenna performance
characteristics● Prefilters● Low-noise amplifiers (LNAs)● Noise figure
Case Study: Tracing a GPS Signal Through a receiver● Received signal● Digitized signal● Correlator outputs● Code-phase estimate● Carrier-phase estimate● Data demodulation
GPS Navigation Algorithms: Point Solutions ● Pseudorange measurement
models● Point solution method
and example
Basics of Kalman Filtering● Introduction to Kalman filtering● Filter structure● Simulation results
Lunch is On Your Own
5:00
Legacy GPS Signals ● Signal structure and characteristics ● Modulations: BPSK, DSSS, BOC ● Signal generation ● Navigation data
Measurements and Positioning ● Pseudorange and carrier phase measurements
● Least squares solution ● Dilution of precision ● Types of positioning solutions
GPS receiver Basics ● Types of receivers ● Functional overview ● Antennas
Error Sources and Models ● Sources of error and correction models ● GPS signals in space performance ● Ionospheric and tropospheric effects ● Multipath ● Error budget
Augmentations and Other Constellations ● Augmentations: local-area, satellite-based, and regional
● Russia’s GLONASS ● Europe’s Galileo ● China’s Compass (BeiDou)
Precise Positioning ● Precise positioning concepts ● Reference station networks ● RINEX data format
Differential GPS Design Considerations● Range vs. navigation domain
corrections● Data links● Pseudolites● Reducing major error
components● Ambiguity resolution
DGPS Case Studies I● RTCM SC104 message
format ● USCG maritime DGPS and
National DGPS (NDGPS)● Commercial satellite-based
systems
DGPS Case Studies II● Wide Area Augmentation
System (WAAS)● Local Area Augmentation
System (LAAS)● RINEX format● CORS&IGS network for
precise positioning (survey)● Precise time transfer
GPS Signal Processing● In-phase and quadra-phase
signal paths● Analog-to-digital (A/D)
conversion● Automatic gain control (AGC)● Correlation channels● Acquisition strategies
Code Tracking, Carrier Tracking & Data Demodulation● Delay locked loop (DLL) imple-
mentations; performance● Frequency locked loops (FLLs)● Phase locked loops (PLLs)● Carrier-aiding of DLLs● Data demodulation
receiver Impairments and Enhancements
● Impairments - bandlimiting, os-cillators, multipath, interference
● Enhancements - carrier smooth-ing, narrow correlator, codeless/semicodeless tracking, vector tracking, external aiding
Kalman Filtering for GPS Navigation● Clock models and dynamic
models● Integration with INS● Measurement and dynamic
mismodeling
Practical Aspects I● Types of GPS and DGPS
receivers● Understanding specification
sheets● Data links● Antennas
Practical Aspects II● Receiver and interface standards● Connectors● Accessories● Test, evaluation, and signal
performance
Instructors
Dr. Chris Hegarty
Dr. Michael Braasch
Similar to Course 346, except that Course 356 has three additional hours of Differential GPS and two additional hours of Kalman filtering.
10 To regisTer or for more informaTion, Contact Carolyn McDonald at (703) 256-8900 or [email protected].
On-Site Courses Only
DescriptionThis 3-day course begins with a discussion of differential GPS, which continues through the rest of the week together with an in-depth look at GPS signal processing, navigation message content, code tracking, receivers and concludes with a discussion on the basics of Kalman filtering. (Note: This course is the same as the last 3 days of Course 356.)
Objectives � To give a comprehensive introduction to GPS and DGPS technology, system
concepts, design, operation, implementation and applications. � To provide detailed information on the GPS signal, its processing by the receiver,
and the techniques by which GPS obtains position, velocity and time. � To present current information on the status, plans, schedule and capabilities of
GPS, as well as of other satellite-based systems with position velocity and time determination applications.
� To fill in technical information gaps for those working in the GPS and GNSS fields.
PrerequisitesFamiliarity with the subject matter covered in days 1 and 2 of Course 356.
Who Should Attend?Excellent for those engineers and technical professionals who know the basics of GPS but need more detail on DGPS, signals, receivers, antennas, navigation algorithms, Kalman filtering and practical aspects of GPS.
Materials You Will Keep � A color electronic copy of all course notes will be provided on a USB Drive or
CD-ROM. Bringing a laptop to this class is highly recommended for taking notes using the Adobe® Acrobat® sticky notes feature; power access will be provided.
� A black and white hard copy of the course notes will also be provided
Course Fee Entitles You to a Book Allowance Book allowances for on-site group contracts are negotiated as part of the contract.
What Attendees Have Said "Dr. Hegarty is very knowledgeable and he is a great communicator. He explained conceptual and theoretical topics clearly. He was very accessible in answering questions. He did an excellent job engaging the students in the learning experience."
_ Carol Chen, March 2011; San Diego, California
"I thought [Dr. Hegarty] had a great teaching style, was funny and had just the right amount of slides. [Dr. Hegarty] was very good at explaining very technical things in a way that made sense to someone with very little signals / communications background."
_ A. Muscat, July 2011; Annapolis, Maryland
COUrSE 356B (1.8 CEUs)GPS / GNSS Operations, DGPS, GPS Signals & Processing
Wednesday Through Friday can be taken as Course 356B (assumes knowledge of Course 122 material)
WEDNESDAY THUrSDAY FrIDAY
Dr. Chris Hegarty, MITrE
8:30 Differential GPS Overview● Local-area, regional-area, wide-area
architectures● Code vs. carrier-phase based systems● Pseudolites● Performance overview
Differential Error Sources● Satellite ephemeris errors● Satellite clock errors● Selective availability● Ionospheric, tropospheric delay● Multipath● Receiver internal noise, biases
Observable Modeling● Code pseudorange and carrier-phase
outputs● Code-minus-carrier observables● Carrier-smoothed code operation● Double difference operation● System error budgets
GPS Signal Structure and Message Content● Signal structures● Signal properties ● Navigation message
GPS receiver Overview● Functional overview● Synchronization concepts● Acquisition● Code tracking● Carrier tracking● Data demodulation
GPS Antennas● Antenna types● Antenna performance characteristics● Prefilters● Low-noise amplifiers (LNAs)● Noise figure
Case Study: Tracing a GPS Signal Through a receiver● Received signal● Digitized signal● Correlator outputs● Code-phase estimate● Carrier-phase estimate● Data demodulation
GPS Navigation Algorithms: Point Solutions ● Pseudorange measurement models● Point solution method
and example
Basics of Kalman Filtering● Introduction to Kalman filtering● Filter structure● Simulation results
LUNCH IS ON YOUr OWN
5:00
Differential GPS Design Considerations● Range vs. navigation domain corrections● Data links● Pseudolites● Reducing major error components● Ambiguity resolution
DGPS Case Studies I● RTCM SC104 message format ● USCG maritime DGPS and National
DGPS (NDGPS)● Commercial satellite-based systems
DGPS Case Studies II● Wide Area Augmentation System (WAAS)● Local Area Augmentation System (LAAS)● RINEX format● CORS&IGS network for precise position-
ing (survey)● Precise time transfer
GPS Signal Processing● In-phase and quadra-phase signal paths● Analog-to-digital (A/D) conversion● Automatic gain control (AGC)● Correlation channels● Acquisition strategies
Code Tracking, Carrier Tracking & Data Demodulation● Delay locked loop (DLL) implementations;
performance● Frequency locked loops (FLLs)● Phase locked loops (PLLs)● Carrier-aiding of DLLs● Data demodulation
receiver Impairments and Enhancements ● Impairments - bandlimiting, oscillators, multipath, interference
● Enhancements - carrier smoothing, narrow correlator, codeless/semicodeless tracking, vector tracking, external aiding
Kalman Filtering for GPS Navigation● Clock models and dynamic models● Integration with INS● Measurement and dynamic mismodeling
Practical Aspects I● Types of GPS and DGPS receivers● Understanding specification sheets● Data links● Antennas
Practical Aspects II● Receiver and interface standards● Connectors● Accessories● Test, evaluation, and signal performance
FOr GrOUPS WHO ALrEADY KNOW GPS/ GNSS BASICS
Instructor
Dr. Chris Hegarty
11To regisTer or for more informaTion, Contact Carolyn McDonald at (703) 256-8900 or [email protected].
MONDAY TUESDAY WEDNESDAY
Dr. CHrIS HEGArTY WILL TEACH THIS COUrSE IN NOOrDWIJK
8:30 Fundamentals of GPS operation. Overview of how the system works. U.S. policy and current status.
GPS System Description ● Overview and terminology ● Principles of operation ● Augmentations ● Trilateration ● Performance overview ● Modernization
GPS Policy and Context ● Condensed navigation system history ● GPS policy and governance ● Modernization program ● Ground segment ● Other satellite navigation systems
GPS Applications ● Land ● Marine ● Aviation ● Science ● Personal navigation ● Accuracy measures ● Error sources
GPS Principles and Technologies
Clocks and Timing ● Importance for GPS ● Timescales ● Clock types ● Stability measures ● Relativistic effects
Geodesy and Satellite Orbits ● Coordinate frames and geodesy ● Satellite orbits ● GPS constellation ● Constellation maintenance
Satellites and Control Segment ● GPS satellite blocks ● Control segment components and operation ● Monitor stations, MCS, and ground antennas ● Upload operations ● Ground control modernization
Differential GPS Overview● Local-area, regional-area, wide-area
architectures● Code vs. carrier-phase based systems● Pseudolites● Performance overview
Differential Error Sources● Satellite ephemeris errors● Satellite clock errors● Selective availability● Ionospheric, tropospheric delay● Multipath● Receiver internal noise, biases
Observable Modeling● Code pseudorange and carrier-phase outputs● Code-minus-carrier observables● Carrier-smoothed code operation● Double difference operation● System error budgets
LUNCH IS ON YOUr OWN 12:00-1:30 PM
5:00
Legacy GPS Signals ● Signal structure and characteristics ● Modulations: BPSK, DSSS, BOC ● Signal generation ● Navigation data
Measurements and Positioning ● Pseudorange and carrier phase measurements
● Least squares solution ● Dilution of precision ● Types of positioning solutions
GPS receiver Basics ● Types of receivers ● Functional overview ● Antennas
Error Sources and Models ● Sources of error and correction models ● GPS signals in space performance ● Ionospheric and tropospheric effects ● Multipath ● Error budget
Augmentations and Other Constellations ● Augmentations: local-area, satellite-based, and regional
● Russia’s GLONASS ● Europe’s Galileo ● China’s Compass (BeiDou)
Precise Positioning ● Precise positioning concepts ● Reference station networks ● RINEX data format
Differential GPS Design Considerations● Range vs. navigation domain corrections● Data links● Pseudolites● Reducing major error components● Ambiguity resolution
DGPS Case Studies I● RTCM SC104 message format ● USCG maritime DGPS and National DGPS
(NDGPS)● Commercial satellite-based systems
DGPS Case Studies II● Wide Area Augmentation System (WAAS)● Local Area Augmentation System (LAAS)● RINEX format● CORS&IGS network for precise positioning
(survey)● Precise time transfer
DescriptionThis is a 3-day course that presents an overview of how the GPS systems works, its historical evolution, its many applications, and its policy and operational considerations. It provides the fundamentals of GPS principles and technologies including clocks and timing, orbits and constellations, and satellites and control segment functions as well as an introduction to differential GPS. It combines Course 122 and Course 217 into one course to give you a comprehensive introduction to GPS technology and an introduction to differential GPS. (Note: This course is the same as the first 3 days of Course 356.)
Objectives � To give a comprehensive introduction to GPS and DGPS technology, system
concepts, design, operation, implementation and applications. � To provide detailed information on the GPS signal, its processing by the receiver,
and the techniques by which GPS obtains position, velocity and time. � To provide and introduction to differential GPS
PrerequisitesSome familiarity with engineering terms is helpful but not essential.
Who Should Attend? � Engineers and technical professionals seeking conceptual and detailed explanations
of GPS technology, operation, capabilities, applications, and development trends � Professionals in navigation, positioning, and related fields who are concerned
with the capabilities, operation and principles of GPS, DGPS, and related GNSS systems.
� System analysts and specialists concerned with position data and its use. � Managers concerned with GPS, GNSS activities, or the positioning field.
Course Fee Entitles You to a Book Allowance Book allowances for on-site group contracts are negotiated as part of the contract.
Course Fee Entitles You to the Following Books Introduction to GPS: The Global Positioning System, 2nd ed., Ahmed El-Rabbany, Artech House, 2006., Or Global Positioning System: Signals, Measurement and Performance, P. Misra and P. Enge, 2nd ed., 2011. (Note: This arrangement does not apply to on-site contracts. Any books for on-site group contracts are negotiated on a case by case basis.)
FOr THOSE WHO NEED GPS / GNSS BASICS AND A FULL DAY OF DIFFErENTIAL GNSS(This course is the same as Monday, Tuesday and Wednesday of Course 356)
Instructor
Dr. Chris Hegarty Dr. Michael Braasch
OR
On-Site at Your Location
COUrSE 336 (1.8 CEUs): GPS / GNSS Fundamentals, Enhancements and Intro to Differential GPS
12 To regisTer or for more informaTion, Contact Carolyn McDonald at (703) 256-8900 or [email protected].
On-Site Courses Only
Course Objectives � To provide a practical and conceptual grasp of GPS and DGPS principles,
applications and equipment. The course is designed such that an engineering background is not required or expected.
� Almost no math will be committed in this course! � To present GPS concepts and equipment applications with informative, easy-to-
follow presentations using clear figures, computer demonstrations, and live GPS equipment.
� To bring professional GPS users, technical sales staff, and others up to speed quickly on GPS and DGPS.
� To offer practical engineering guidance and data to attendees making decisions regarding equipment use, selection or purchase.
Who Should Attend � Those entering the GPS field who need a rapid grounding in GPS and DGPS
principles, techniques, status, equipment practicalities and applications. � Professional users who wish to better understand new developments in GPS and
DGPS, as well as future capabilities. � Those involved in making business decisions about GPS. � Sales, marketing and advanced development staff requiring a better understanding
of GPS and DGPS operation, applications, and potential markets.
Materials You Will Keep � A color electronic copy of all course notes will be provided on a USB Drive or
CD-ROM. Bringing a laptop to this class is highly recommended for taking notes using the Adobe® Acrobat® sticky notes feature; power access will be provided.
� A black and white hard copy of the course notes will also be provided.
Course Fee Entitles You to a Book Allowance Book allowances for on-site group contracts are negotiated as part of the contract.
Instructor(s)
Mr. Franck Boynton
Dr. Michael Braasch
Dr. James Sennott
AND OR
COUrSE 136 (1.8 CEUs)Practical GPS / GNSS for Professional Users and Technicians
DAY 1 DAY 2 DAY 3
Dr. Michael Braasch or Dr. James Sennott Mr. Franck Boynton, NavtechGPS
8:30 GPS System Description ● System segments ● Basic principles of operation
GNSS Signal Structure ● Signal requirements ● Pseudorandom Noise Codes (PRN) ● Auto and cross-correlation ● Modulation and spread spectrum ● Navigation data ● Signal power levels
Navigation Solution and Error Sources ● Pseudorange measurements ● Least squares ● DOP
Error Models ● Signal in space performance due to ephemeris and satellite clocks
● Ionospheric errors: dual frequency corrections, broadcast model
● Tropospheric errors: cause, mitigation using antennas, siting, signal processing
● Multipath effects: cause, mitigation using antennas, siting, signal processing
● Tracking errors ● Error budget
Precise Positioning Differential Techniques ● Precise positioning concepts ● Carrier phase models: single, double, tiple differences ● Ambiguity resolution ● Reference stations: local and global networks ● Precise orbits and clocks ● RINEX data format ● Software: overview of packages and online tools for precise positioning
Military SAASM vs. Civilian receiver Functionality ● Standard Receiver Interfaces ● Military performance features ● Advanced performance features
Operations of Systems ● Equipment operation, observations ● Data, data logging, GPS analysis programs ● Post processing of data
Component Integration Principles ● Typical available components ● Integration guidelines ● Connectors, adaptors ● Power requirements, batteries, characteristics ● Commercial protocols ● Signal compatibility ● Typical projects ● Operating system examples
GPS Applications: Land ● GIS Development: Data collection demonstration ● Geographic Information System (GIS) needs, types ● What can it do for me? ● How does it typically operate? ● Aux. systems: laser, optical range finder, camera
LUNCH IS ON YOUr OWN
Dr. Michael Braasch or Dr. James Sennott Mr. Franck Boynton, NavtechGPS Mr. Franck Boynton, NavtechGPS
5:00
receivers: Basic Elements and Functionality ● Overview ● Front end ● Signal processing ● Acquisition ● Tracking
Clocks and Timing ● Role of timing in GPS ● Timescales: solar time, atomic time, UTC, GPS time ● Clock stability, Allan deviation ● GPS satellite clock characteristics and broadcast corrections
● Receiver clock characteristics
Orbits and Constellation ● Coordinate frames and geodesy ● Two-body orbits ● Orbit perturbations ● GPS satellite orbit representations ● GPS constellation
Types of GPS Acquisition & Processing ● Post-processing: code, carrier phase ● Real-time: autonomous, DGPS code, DGPS carrier phase, assisted correction (E911)
● Data links, WAAS, OmniSTAR, StarFire, CORS, USCG ● Functionality and methods used for applications ● Review of different correction methods. How to imple-ment and use each one.
● Accuracy levels and trade-offs
Anatomy of a GPS receiver System ● From the GPS satellite transmission antenna to data output; what happens in between?
● Transmission of GPS signals from spacecraft ● Atmospheric effects on signal, range loss ● User equipment: antenna, RF cable, GPS receiver, RF front-end, digital processing
● Processing, real time DGPS corrections, user settings, data storage types, output information
GPS receiver Hardware Types ● Commercial GPS stand-alone receivers ● GPS boards, antennas, antenna pre-amps ● Differential receivers and accessories ● Data link equipment, coverage regions ● Survey receivers and software
Working Indoors to Test Your Equipment: Signal repeater and Hardware Techniques
● GPS Signal Repeater and Hardware Techniques ● Equipment needed: antennas, amps, etc. ● Calculating gain and transmission distances ● Accuracies and hard-wire connections ● Safety concerns, and RF emission regulations ● Installation guidelines
New Signals and Systems: GPS Modernization, GLONASS, Galileo, Compass, future systems
● What will be available in the future?
Practical equipment issues ● Things to consider before starting to work ● Troubleshooting problems in the field ● How to tell if you’re getting the results you need. ● What you can do yourself and when to call for help ● Help sources
13To regisTer or for more informaTion, Contact Carolyn McDonald at (703) 256-8900 or [email protected].
On-Site at Your Location
Course DescriptionThis 2-day course was prepared exclusively for military GPS users who require an in-depth knowledge of how to analyze the jamming and spoofing vulnerability of virtually every class of military GPS user equipment from the stand-alone hand-held to the most advanced integrated avionics or smart weapons GPS platforms. This class addresses not only the vulnerability of every military GPS receiver operating state to the most common types of jammers, but also the mitigation techniques to reduce those vulnerabilities. In this course, we provide take-home electronic spreadsheets along with hands-on training in the use of these spreadsheets to enable the student to take the equations that are presented in the course and tailor them for a new or different military platform. There is a 1-hour classified session (assuming a secure facility is provided) that addresses several sensitive issues related to specific vulnerabilities and their mitigation, including time for questions and answers.
Course ObjectivesThe objectives of this course are to train those involved with military GPS user equipment to analyze jamming and spoofing vulnerabilities regardless of the integrated complexity of the platform.
Who Should AttendSupervisors, technicians, engineer or analysts with responsibilities for analyzing or testing military GPS receivers. You will be able to participate in all of the course sessions with FOUO qualification and in the 1-hour classified session with a SECRET or higher security clearance.
PrerequisitesStudents should be acquainted with the fundamentals of military GPS receiver operation and have previous experience using and interacting with Excel spreadsheets, including an understanding of the math functions supported by Excel, such as multiplication, division, square roots, exponents, and logarithms that are involved with the equations used in the course, and a basic understanding of how to read and understand the Excel equations that will be provided. To fully utilize the Excel handout material later, students need to know how to generate graphs using the results of the math equations provided in sheets. All this will be demonstrated during the Excel work sessions. The materials are presented in a manner that can be understood and used by supervisors, technicians, engineers and analysts whose job descriptions include analytical or testing work with military GPS receivers.
Materials You Will Keep � A color electronic copy of all course notes will be provided on a USB Drive or
CD-ROM. Bringing a laptop to this class is highly recommended for taking notes using the Adobe® Acrobat® sticky notes feature; power access will be provided.
� A black and white hard copy of the course notes will also be provided.
Course Fee Entitles You to a Book Allowance Book allowances for on-site group contracts are negotiated as part of the contract.
FOr U.S. MILITArY GrOUPS ONLY
Instructor
Mr. Phil Ward
COUrSE 324 (1.2 CEUs)Military GPS User Equipment Vulnerability Assessment & Mitigation for Military GroupsNote from Instructor: There may be minor rearrangement and redistribution of the foregoing material in order to improve the synergism and balance to better utilize each one-hour session, but all of the subject material will be presented. There will be breaks between each 1-hour session and time allowed to answer questions.
DAY 1 DAY 2
Phillip W. Ward, P.E., President of Navward GPS Consulting
8:30 Hour 1: rFI Vulnerability Assessment● Introduction (including brief explanations of C/N0 and J/S
terminology)● Situational awareness● Vulnerability insight● Military GPS receiver operating states (defined and described)
Hour 2: rFI Vulnerability Performance Analysis (J/S Performance Assumed Known or Specified)● Typical C/N0 & J/S performance summary by receiver class● Unaided fixed reception pattern antenna (FRPA) receiver ● Aided FRPA Receiver ● Aided controlled reception pattern antenna (CRPA) receiver
Hour 3: Jamming Performance Comparisons● Integrated FRPA/GPS/inertial systems (states 3 & 4)● Integrated CRPA/GPS/IMU systems (states 3 & 4)● Excel session I: Range to jammer computations
Hour 1: GPS receiver J/S Analysis Equations (How J/S Performance Is Predicted By Analysis)● Analyzing jamming effect on carrier-to-noise power ratio C/N0● GPS military spreading code rates (Rc) and jamming resistance quality
factors (Q)● Analyzing unjammed carrier-to-noise power ratio● Computing effective carrier-to-noise power ratio due to jamming ● Analyzing Jamming-to-Signal Power Ratio J/SdB ● J/SdB performance (with appropriate Q) for 28 dB- Hz carrier tracking
threshold ● Tolerable J = J/S + received SV power: Used in range to jammer
computations
Hour 2: Excel Session III: J/S and Tolerable J Performance Computations
Hour 3: Analyzing GPS receiver Thresholds I● Analyzing PLL carrier tracking loop jitter● Analyzing PLL thermal noise● Analyzing vibration induced oscillator phase noise in PLL● Analyzing oscillator Allan deviation phase noise in PLL● Analyzing dynamic stress error In PLL● Analyzing reference oscillator acceleration stress error in PLL● Computing PLL thresholds including all major PLL error sources ● Analysis of 1-sigma PLL threshold
LUNCH IS ON YOUr OWN 12:00-1:30 PM
5:00
Hour 4: Vulnerability ranges to Jammer● GPS denied ranges versus jammer power (EIRP or effective isotropic
radiated power)● Range to jammer equation (free space propagation loss)● Modified Okumura-Hata (ground-to-ground) empirical path loss
equation● Sklar (air-to-air) path loss equation
Hour 5: Excel Session II: More range to Jammer Computations Including Hata Empirical Path Loss & Sklar Path Loss Computations
Hour 6: Classified Session (Probable Class Room Relocation)● Emerging threat discussion
Hour 4: Analyzing GPS receiver Thresholds II● Analyzing FLL carrier tracking loop jitter● Analyzing FLL tracking loop errors● Computing FLL thresholds including all major error sources● Analyzing DLL code tracking loop errors● Analyzing C/A and P(Y) code (BPSK) DLL tracking loop errors● Computing BPSK DLL thresholds, including all major error sources● Analyzing M code (BOC) DLL tracking loop errors● Comments on vector tracking, loose coupling and ultra tight coupling● Analyzing acquisition/reacquisition thresholds● Analyzing data demodulation threshold
Hour 5: Excel Session IV: Tracking Threshold Computations
Hour 6: Jamming Mitigation Techniques (Many Of Many More reasons Military GPS receivers Cost Much More Than Commercial receivers)● Continuous wave, narrowband and other constant envelope jammers
mitigation● Pulse jammer mitigation● Band limited white noise (BLWN) and matched spectrum jammer mitigation● C/A code smart spoofing mitigation
Hour 6 (Continued): Future Generation Military GPS receiver Concepts● Jamming to (thermal) noise power measurements● Communications assisted military GPS● Signals of opportunity
14 To regisTer or for more informaTion, Contact Carolyn McDonald at (703) 256-8900 or [email protected].
DescriptionCourse 541 (a 4-day class) will enable attendees to achieve proficiency, not merely familiarity, with the essential aspects of using GPS/GNSS signals. Current and future GNSS signals will be addressed along with details of signals from other satellite-based positioning and timing systems. Receiver processing techniques are described with ways to characterize their performance. In-class review problems will help students understand and apply the key concepts. As attendees understand distinctions between different systems and signals, they will become equipped to take advantage of signals from multiple systems. Attendees will be given study questions each evening that will be reviewed in class each morning. Laptops are strongly advised.
NavtechGPS has developed the materials for this course in collaboration with a rich pool of experts, including Dr. John Betz, MITRE; Dr. James Sennott, Tracking and Imaging Systems, Inc. (TISI); Mr. Phil Ward, Navward GPS Consulting; Professor Dennis Akos, University of Colorado at Boulder; Professor Michael Braasch, Ohio University; Mr. Michael Vaujin, Raytheon Missile Systems; Dr. Frank Van Diggelen, Broadcom Corporation; and Dr. Alex Cerruti, MITRE, to provide you with the latest and most relevant information.
Course ObjectivesTo develop proficiency with advanced receiver processing of modernized and new signals from GPS, GLONASS, Galileo, BeiDou (COMPASS), and QZSS, supplemented by systems engineering skills, integrated with techniques for assessing performance and performing design trades concerning receiver processing.
PrerequisitesAttendees should have a solid background in GPS and be ready to develop advanced skills. Prior exposure to basic signal processing techniques and terminology as well as familiarity with engineering mathematics is needed.
Materials You Will Keep � A color electronic copy of all course notes will be provided on a USB Drive or CD-ROM.
A black and white hard copy of the course notes will also be provided.
Course Fee Entitles You to the Following Books Understanding GPS: Principles and Applications, 2nd ed., Kaplan & Hegarty, Eds., Artech House, 2006, Or Global Positioning System: Signals, Measurement and Performance, Misra and Enge, 2nd ed., 2011. (This does not apply to on-site contracts. Books for on-site contracts are negotiated separately.)
Dr. John Betz
Instructor March 14 – 17, 2016 Crowne Plaza Redondo Beach Hotel300 N. Harbor DriveRedondo Beach, California 90277
COUrSE 541 (2.4 CEUs)Using Advanced GPS/GNSS Signals and Systems (4 Days)
DAY 1 DAY 2 DAY 3 DAY 4
Dr. John Betz, MITrE 8:30 Day 1 Morning
Objectives: Establish common level on basics of satellite-based positioning and timing, establish common terminology and notation, become proficient with techniques for systems engineering and analysis.
Course Overview and Introduction ● Basic principles of satellite based navigation ● Constellations and satellite orbital basics
Link budgets ● Space-to-earth ● Terrestrial ● Building and foilage effects
Error sources and error characterization ● System error sources and error budgets ● Dilution of precision ● Error measures including CEP, ● SEP, CE50, CE90
review questions for day 1, morning
Day 2 MorningObjectives: Understand GPS and SBAS signals in-depth, understand basic structure of receiver processing.
Solutions to day 1 review questions
GPS and SBAS signals ● SBAS concept and architecture; ● WAAS, EGNOS, MSAS, GAGAN, SDCM ● Description of C/A code signal and P(Y) code signal, IS-GPS-200
● Description of SBAS signals
Overview of receiver Processing ● Trends ● Constraints ● Opportunities
review questions for day 2, morning
Day 3 MorningObjectives: Understand receiver processing—front-end design, analog to digital conversion, and basics of initial synchronization.
Solutions to day 2 review questions
Initial synchronization processing algo-rithms, techniques, and performance
● Time and frequency search: the cross-ambiguity function
● Time and frequency domain implementation and tradeoffs
● Massively parallel correlator architecture ● Initial synch performance
Digital tracking loop design and performance
● Loop design concept and theory ● Selecting loop order and parameter values ● Discrete and continuous update approximations
● Relationship to analog loop design
review questions for day 3, morning
Day 4 MorningObjectives: Understand other SatNav systems, their signal characteristics, and their unique processing opportunities
Solutions to day 3 review questions
GLONASS signals and receiver processing ● GLONASS history, description, plans ● GLONASS standard accuracy and high accuracy signals
● GLONASS modernized signals; GLONASS ICD
● Summary of GLONASS signal characteristics ● Receiver processing of GLONASS signals
Galileo signals and receiver processing ● Galileo history, description, plans ● Galileo ICD ● Galileo signals: E1, E6, E5 ● Summary of Galileo signal characteristics
LUNCH IS ON YOUr OWN 12:00-1:30 PM
5:00
Day 1 AfternoonObjectives: Finish learning techniques for systems engineering and analysis, understand details of GNSS signal structure and characteristics, obtain overview of GPS and SBAS.
Signal structure and characteristics: motivation and physics
● Overview and rationale for signal characteristics
● Polarization ● Pilot and data components
Signal Structure and Characteristics: spreading modulations and signal math-ematical representations
● Spreading modulations including BPSK-R, BOC, MBOC
● Mathematical representations of signals and their second-order statistics
GPS and SBAS history and description
review questions for day 1, afternoon
Day 2 AfternoonObjectives: Develop skills in receiver processing—front-end design, analog to digital conversion, and basics of initial synchronization.
receiver front-end design: components and rF to baseband conversion
● RF to baseband architecture alternatives ● Components: antennas, oscillators, ampli-fiers, mixers
● Frequency plans ● Trade-offs
Analog to digital conversion ● Architecture alternatives ● Number of bits, sampling rate ● Quantization set points ● Bandlimiting, sampling, and quantization (BSQ) losses Incorporating BSQ losses in effective C/N0
Initial synchronization basics
review questions for day 2, afternoon
Day 3 AfternoonObjectives: Develop skills in receiver processing—carrier and code tracking, data demodulation, and position calculation.
Carrier tracking: frequency-locked loops, Costas loops, phase locked loop design and performance
● FLL, Costas loop, PLL ● Discriminator designs ● Linearized performance ● Loss of lock ● Selecting parameter values
Code tracking: delay-locked loop design and performance, including unique aspects of BOC and tracking other modern spread-ing modulations
● DLL discriminators for different spreading modulations
● Coherent and noncoherent discriminators ● Loop aiding ● Linearized performance in white noise ● Handling multiple peaks in BOC autocorrela-tion functions
Data demodulation and Positioning ● Calculation ● Soft and hard data symbol demodulation ● Position calculation from pseudorange, including use of code tracking and carrier phase measurements
● Dual-frequency ionospheric correction ● Use of overdetermined measurement and other inputs
● RAIM, FDE
review questions for day 3, afternoon
Day 4 AfternoonObjectives: Understand additional satnav systems and their signal characteristics, understand some other advanced topics in receiver processing
QZSS signals and receiver processing ● QZSS history, description, plans ● QZSS signals; QZSS ICD ● Summary of QZSS signal characteristics ● Receiver processing of QZSS signals
BeiDou (COMPASS) signals and receiver processing
● BeiDou history, description, plans ● BeiDou signals ● Summary of BeiDou signal characteristics ● Receiver processing of BeiDou signals
Interference effects and mitigation ● Types of interference ● Quantifying effects of interference on receiver processing
● Measuring interference in receiver ● Receiver processing against interference
Multipath effects and mitigaton ● Multipath phenomena and effects ● Narrow correlator benefits ● Advanced multipath mitigation
Differential GNSS● Architectures● Use of code and carrier measurements● Ambiguity resolution
Looking back over four days
November 14 – 17, 2016 Westin tysons Corner Hotel7801 Leesburg PikeFalls Church, Virginia 22043
15To regisTer or for more informaTion, Contact Carolyn McDonald at (703) 256-8900 or [email protected].
Course ObjectivesThis course on GNSS-aided navigation will thoroughly immerse the student in the fundamental concepts and practical implementations of the various types of Kalman filters that optimally fuse GPS receiver measurements with a strapdown inertial navigation solution. Course 556 was expanded from the former Course 546 based on student requests for more review material on the first day and for even more content depth and computer MATLAB® demonstrations.
The course includes the fundamentals of inertial navigation, inertial instrument technologies, technology surveys and trends, integration architectures, practical Kalman filter design techniques, case studies, and illustrative demonstrations using MATLAB®.
Who Should Attend? � GPS/GNSS professionals who are engineers, scientists, systems analysts, program
specialists and others concerned with the integration of inertial sensors and systems.
� Those needing a working knowledge of Kalman filtering, or those who work in the fields of either navigation or target tracking.
Prerequisites � Familiarity with principles of engineering analysis, including matrix algebra and
linear systems.
� A basic understanding of probability, random variables, and stochastic processes. � An understanding of GPS operational principles in Course 346, or equivalent
experience.
Equipment Recommendation � A laptop (PC or Mac) with full version of MATLAB® 5.0 (or later) installed. This will
allow you to work the problems in class and do the practice “homework” problems. All of the problems will also be worked in class by the instructor, so this equipment is not required, but is recommended.
� The course notes are searchable and you can take electronic notes with the Adobe® Acrobat®9 Reader we provide to you.
Materials You Will Keep � A CD-ROM or USB drive with a color copy of all course notes. Bringing a laptop to
this class is highly recommended for taking notes using the Adobe® Acrobat® sticky notes feature; power access will be provided.
� A black and white hard copy of the course notes, printed 3 slides to a page. � Introduction to Random Signals and Applied Kalman Filtering, 3rd edition, by R.
Grover Brown and Patrick Hwang, John Wiley & Sons, Inc., 1996. (Note: This arrangement does not apply to on-site contracts. Any books for on-site group contracts are negotiated on a case by case basis.)
COUrSE 556 (2.7 CEUs)Inertial Systems, Kalman Filtering and GPS/INS Integration Mr. Michael Vaujin
Instructors
Dr. Alan Pue
March 14 – 18, 2016 Crowne Plaza Redondo Beach Hotel300 N. Harbor DriveRedondo Beach, California 90277
November 14 – 18, 2016 Westin tysons Corner Hotel7801 Leesburg PikeFalls Church, Virginia 22043
DAY 1 DAY 2 DAY 3 DAY 4 DAY 5
Dr. Alan Pue, Johns Hopkins University, Applied Physics Lab. Mr. Michael Vaujin, Aerospace, Navigation & Defense Consultant
8:30 Introduction to INS/GPS integration
● Inertial navigation ● Integration architectures ● Example applications
Vectors, Matrices, and State Space
● Vectors and matrices ● State-space description ● Examples
random Processes ● Random variables ● Covariance matrices ● Random process descriptions
Inertial Navigation Mechanization
● Gravity model ● Navigation equations ● Implementation options
Inertial Sensor Technologies
● Accelerometer technologies
● Optical gyros ● MEMS technologies ● Technology survey
Strapdown Systems ● Quaternions ● Orientation vector ● Coning and sculling compensation
INS Aiding of receiver Tracking ● Code and carrier tracking ● Track loop design trades ● Interference suppression ● Deep integration
Tightly-Coupled INS/GPS Design ● Measurement processing ● Filter parameter selection ● Pseudo-range and delta pseudo-range measurement models
Multi-Sensor Integration ● Terrain aiding and relative GPS ● Carrier phase differential integration ● GPS interferometer/INS integration
Partials of Measurement Equations ● Techniques for taking partials ● Psi-angle and Phi-angle feedback to strapdown
● Homework solutions ● Integrated true velocity error ● Small azimuth static alignment & leveling ● Large azimuth static alignment
Process Noise and Covariance Initialization
● Strapdown solution initialization and cor-responding covariance matrix initialization
● Process noise for vertical deflections & anomaly & velocity & angle random walk
● Typical sensor error models, random constant, random walk & first order Gauss Markov
● Process noise for un-modeled states ● Gyro-compassing & magnetometer aiding
Aided Phi-Angle Navigator* ● Description and demonstration of a Phi-angle north-slaved navigator modeling position error as latitude/longitude error
● State dynamics matrix elements compared to Psi-angle
● Modeling position error as tilt error ● Navigation in ECEF coordinates ● Attitude matching & boresight error states
Adaptive Kalman Filters* ● Online and offline residual analysis ● Advanced methods of outlier detec-tion & rejection
● Multiple Model Adaptive Estimation ● Carrier phase integer ambiguity resolution
Unscented Kalman Filters* ● Limitations of EKFs ● Sigma points & the unscented transform
● Augmentation & application to navigation
Particle Filtering* ● Terrain matching & multi-modal posi-tion solutions
● Particle filtering theory & particle degeneracy
● Curse of dimensionality ● Performance vs UKF & EKF
*Indicates the lecture contains MATLAB® demonstrations of the algorithms being discussed
Lunch
Kalman Filter ● Filtering principles ● Least squares estimation ● Kalman filter derivation
Filter Implementation ● Filter processing example ● Off-line analysis ● Filter tuning
Navigation Coordinate Systems
● Earth model ● Navigation coordinates ● Earth relative kinematics
Navigation System Errors
● Tilt angle definitions ● Navigation error dynamics ● Simplified error characteristics
System Initialization
● INS static alignment ● Transfer alignment ● Simplified error analysis
Loosely-Coupled INS/GPS Design
● Measurement processing ● Filter design and tuning ● Navigation system update
Mr. Michael Vaujin, Aerospace, Navigation & Defense Consultant
Building Extended Kalman Filters* ● Linearized & Extended Kalman Filters
● Radar tracking of a vertical body motion with non-linear dynamics
● Radar tracking of an accelerating body with non-linear measurements
Implementation Considerations ● Covariance matrix numerical stability
● Sequential vs batch measurement processing
● Measurement correlation & de-correlation
● Matrix partitioning for computational efficiency
Aided Psi-Angle Navigator* ● Description and demonstration of a loosely coupled 15 state Psi-angle wander azimuth navigator flying an aircraft type trajectory
● Linearization homework problems
Methods of Smoothing* ● Optimal prediction & Fixed Interval smoothing
● Fixed Point & Fixed Lag smoothing ● Application to navigation
Square root Filtering* ● Square root covariance filtering and smoothing
● Square root information filters ● UD factorization and UD filtering
Suboptimal Covariance Analysis* ● Effects of mis-modeling errors ● Optimal & sub-optimal (two pass) covari-ance analysis
● Error budget & reduced state analysis
*Indicates the lecture contains MATLAB® demonstrations of the algorithms being discussed
You Asked: We Answered!Based on attendee requests, our popular Course 546 has been expanded to Course 556 (to 4.5 days) to add critical course content for a more in-depth treatment of the material and still allow time for important review material the morning of the first day.
the Day 1 morning review may be skipped by those with sufficient mastery of the content and high-level mathematics associated with these topics. See registration form to opt out of the review.
5:00
NavtechGPS 5501 Backlick Road Suite 230 Springfield, VA 22151-3336 USA
NavtechGPSFall 2016 GNSS Courses for engineers and Technical Professionals
Falls Church (tysons Corner), Virginia (Washington, DC Area) November 14 – 18, 2016Course and Lodging at Westin Tysons Corner Hotel, 7801 Leesburg Pike, Falls Church, Virginia, 22043, USA
(Hotel: $179/night — U.S. government and commercial attendees. See www.NavtechGPS.com for details)
Hotel reservations: +1-703-893-1340 or 1-888-627-8970 (U.S. toll free). Mention NavtechGPS Seminars
By Phone1-800-Nav-0885 or +1-703-256-8900
By Fax+1-703-256-8988
We will handle your registration personally and assist you with course selection and payment information.
Our staff will review your information and contact you for payment information.
We will review the completed form and call you for payment information.
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ATTENDEE INFORMATION (Please Print or Type) Please use a separate form for eaCh attendee.
Select Your Course Circle Fee Choose One
Chec
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ne Course Name DatesFee Fee
USB
CD-R
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Public CEUs US Govt*
346: GPS/GNSS Operations for Engineers and technical Professionals. † November 15–188:30 AM to 5 PM $2699 2.4 $2564**
122: GPS Fundamentals and Enhancements (Days 1 and 2 of Course 346) † November 15–168:30 AM to 5 PM $1399 1.2 $1329**
556A: Inertial Systems, Kalman Filtering, and GPS/INS Integration (This is the Full enhanced 4.5-day course. See our website for details.)
November 14–188:30 AM to 5 PM $2999 2.7 $2849**
556B: Inertial Systems, Kalman Filtering, and GPS/INS Integration (No Review). I want to opt out of the morning of Course 556; I do not need the review, which reduces my fee.
November 14–181:30 PM to 5 PM $2799 2.4 $2664**
541: Using Advanced GPS / GNSS Signals and Systems. This is a 4-day course. November 14–178:30 AM to 5 PM $2799 2.4 $2664**
ATTN: Please download and save this form BEFORE completing, otherwise the information will not be saved!
Course notes are provided on a CD-ROM or on a 2GB USB drive (as well as on paper in black and white). Please mark your electronic medium preference †NavtechGPS is a Florida approved provider for Courses 122 and 346.
**Courtesy U.S. federal government/U.S. military discount.
REGIStER tODAY! (tentative Registrations Accepted‡)