1 Signals&Systems Intro

8/13/2019 1 Signals&Systems Intro

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Signals and Systems EE 3302

Dr Pete Bernardin

Telecommunications Engineering


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Notes Disclaimer

Class notes are offered as a supplementto your textbook, NOTa replacement for it

Ultimately, you will be responsible for

material in the textbook that I do not havetime to cover in class

You should plan on studying 3 to 4 hours

outside of class for every hour that you

spend in class

You will periodically find errors in the notes

and also some in the book


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Notes Credits

Raja Rajasakeran developed most of

these notes

Alan Oppenheims Z-Transform notes

Bill Boyds Z-Transform notes


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Signals & Systems EE 3302: Prerequisite for EE

Signals and Systems: Central Dogma of Engineering

One of the most important courses in the undergraduate EE and TEcurricula is Signals and Systems, EE/TE 3302

To borrow a felicitous phrase from the biologists, Signals and Systemsconveys the "central dogma" of modern electrical engineering (i.e.,electrical engineering beyond power lines and superheterodynereceivers)

If anything, Signals and Systems contains even more fundamentalintellectual content for a TE major than for an EE major, because all of

modern telecommunications engineering depends on signals andsystems concepts and design approaches.

REFERENCE:Professor Cy Cantrell, Associate Dean EECS UTD, 4/11/03


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(Digital) Signal Processing

Signal Processingdeals with the enhancement, extraction, and representation ofinformation for communication or analysis

Many different fields of engineering rely upon signal processing technology

Acoustics, telephony, radio, television, seismology, and radar are some examples

Initially, signal processing systems were implemented exclusively with analoghardware

However, recent advances in high-speed digital technology have made discretesignal processing systems more popular.

Digital systems have an advantage over analog systems in that they can processsignals with an extraordinary degree of precision

Unlike the resistive and capacitive networks of analog systems, digital systems canbe built numerically with the simple operations of addition and multiplication.

Digital Signal Processingis a field of numerical mathematics that is concerned withthe processing of discrete signals

This area of mathematics deals with the principles that underlie all digital systems


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Practical, Inexpensive Signal Processing System

Stereo

AmplifierRecord Player

Tape Deck

Radio

Sound

CardA/D

Right Channel

Left Channel

D

S

P

Sound

CardD/A

Cool Edit

Waveform Editor

Pentium Computer

Analog/

Continuous-

Time

Signals

Digital/

Discrete-

Time

Signals

Multichannel (Stereo) Signals

Digital Signal Processing:1) Noise Reduction

-Digital Filtering, etc.

2) Signal Compression

-MP3, JPEG/MPEG Image, etc.

3) Spectral Analysis(e.g., FFT)


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Electronic Fax via Portable Document Format

Youve Got Mail:

Adobe Acrobat PDFFar more Complex

Acoustic Waveforms are

often EncounteredFar

more Complex Acoustic

Waveforms are often

EncounteredFar more

Complex Acoustic

Waveforms are often

EncounteredFar more

Complex Acoustic

Waveforms are oftenEncountered

Far more Complex

Acoustic Waveforms

are often

EncounteredFarmore

Complex Acoustic

Waveforms are oftenEncounteredFarmore

Complex Acoustic

Waveforms are often

EncounteredFarmore

Complex Acoustic

Waveforms are often

Encountered

700 KB

Far more Complex

Acoustic Waveforms

are often

EncounteredFarmore

Complex Acoustic

Waveforms are often

EncounteredFarmore

Complex Acoustic

Waveforms are often

EncounteredFarmore

Complex Acoustic

Waveforms are often

Encountered

700 KB

Far more Complex

Acoustic Waveforms

are often

EncounteredFarmore

Complex Acoustic

Waveforms are often

EncounteredFarmore

Complex Acoustic

Waveforms are often

EncounteredFarmore

Complex Acoustic

Waveforms are often

Encountered

700 KB

Digital Signal:

Scanned

Hard Copy

LZW Lossless

Compression

Almost 10:1

Email via

Internet

e.g. Concatenate in

Adobe Acrobat PDF

DSP

~ 700 KB

for Total

Document


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Analysis & Synthesis Formulas


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Other Signals and Systems ReferencesDSP Books:

J.G. Proakis and D.G. Manolakis, Digital Signal Processing: Principles, Algorithms, and Applications, Prentice Hall,3rd Edition, 1996, ISBN 013373762- 4.

S.S. Soliman and M.D. Srinath, Continuous and Discrete Signals and Systems, Prentice Hall, 1998, ISBN013518473-8.

A.V. Oppenheim and R.W. Schafer, Digital Signal Processing, Prentice Hall, 1975, ISBN 013214635-5.

L.R. Rabiner, B. Gold, Theory and Application of Digital Signal Processing, Prentice Hall, 1975, ISBN 013914101-4.

E.O. Brigham, The Fast Fourier Transform and Its Applications, Prentice Hall, 1988, ISBN 013307505-2.

M.H. Hayes, Digital Signal Processing , Schaums Outline Series, McGraw Hill, 1999, ISBN 0-07-027389-8

DSP Papers (on my Website):

R.W. Schafer and L. R. Rabiner, A Digital Signal Processing Approach to Interpolation, Proc. IEEE, vol.61, pp.692-702, June 1973.

J. W. Cooley, P. Lewis, and P. D. Welch, Historical Notes on the Fast Fourier Transform, IEEE Transactions onAudio and Electroacoustics, June 1967

J. Cooley and J. Tukey, An Algorithm for the Machine Calculation of Complex FourierSeries, Mathematics of Computation, vol 19, 1965.

Cooley, J. W.; Lewis, P. A. W.; Welch, P. D., The Fast Fourier Transform: Programming Considerations in theCalculation of Sine, Cosine, and Laplace Transforms, Journal of Sound Vibration and Analysis ,12(3), July 1970.

G.D. Bergland, A Guided Tour of the Fast Fourier Transform, IEEE Spectrum, July 1969.

J. O. Smith and P. Gossett, A Flexible Sampling-Rate Conversion Method, by Proceedings of the IEEE

International Conference on Acoustics, Speech, and Signal Processing, San Diego, March 1984 (ICASSP-84),Volume II, pp. 19.4.119.4.2. New York: IEEE Press.

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