Antenna Concepts Class

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    Antenna Theory

    Basic Principles for PracticalApplications

    2004

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    Outline

    Brief History

    Antenna Building Blocks

    Antenna System

    Antenna System Tests

    Radiation

    Antenna Performance

    Break

    Antenna Construction

    Pattern Evaluation

    Cell Planning Considerations

    Down Tilt

    Break

    Intermodulation Interference

    Obstructions

    Antenna Concealment

    New Concepts

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    Pioneers of EM Theory & Antennas

    Thales (600 BC): Observed sparks when silkrubbed on amber, natural stones attracted

    Gilbert (1600 AD), Franklin (1750), Coulomb,

    Gauss, Volta (1800), Oersted (1819), Ampere(1820), Ohm, Faraday, Henry (1831), Maxwell

    (1873)

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    The First Antenna

    Heinrich Rudolph Hertzs (1886) built firstradio system:

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    The First Wireless (Radio)

    Guglielmo Marconi:

    - Repeated Hertzs experiments

    - Built first radio system to signal over

    large distances: England to Newfoundland

    - Proved radio waves bend around earth

    - Also applied technology to ships

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    F0(MHz) (Meters) (Inches)

    30 10.0 393.680 3.75 147.6

    160 1.87 73.8

    280 1.07 42.2

    460 0.65 25.7

    800 0.38 14.8960 0.31 12.3

    1700 0.18 6.95

    2000 0.15 5.90

    F0

    Dipole

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    Understanding the Mysterious dB

    A dB is 1/10thof a Bel (Named after Alexander Graham Bell)

    A dB is measured on a logarithmic scale

    A dB or Decibel originally comes from quantifying signal strengths in terms

    of relative loudness as registered by the human ear

    dB in the RF world is the difference between two signal strengths

    Blahblahblah bl ah

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    A single dipoleradiates with a

    doughnut pattern

    An isotropic radiatorradiates equally in

    ALL directions

    The gain of an antenna comparedto a dipole is in dBd

    The gain of an antenna comparedto an isotropic radiator is in dBi

    eg: 3dBd = 5.17dBi

    dBd and dBi

    2.17dB

    The dipole is 2.17dB higher in gain

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    dBm Absolute signal strength relative to 1 milliwatt

    1 mWatt = 0 dBm

    1 Watt = +30 dBm

    10 Watts = +40 dBm

    20 Watts = +43 dBm

    dBc Signal strength relative to a signal of known strength, in

    this case: the carrier signal

    dBm and dBc

    Note: The

    Logarithmic Scale

    10 x log10(Power Ratio)

    How and why is dBc used with base station antenna specs?

    Pay attentionGroup quiz later!

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    Basic Antenna System

    Antenna

    Jumper Cable

    Feeder Cable

    Surge Arrestor

    Jumper Cable

    Radio

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    Full System Sweep

    Antenna

    Jumper Cable

    Feeder Cable

    Surge Arrestor

    Jumper Cable

    Radio

    3 different tests

    Return Loss

    VSWR Distance to Fault (DTF)

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    Impedance

    Examples:

    Wireless = 50

    Old TV = 300

    Cable TV = 75

    These 3 tests measure the reflected voltages caused

    by change of impedance in a transmission line. Impedance is measured in ohms ().

    where Z is defined as impedance and iscomplex

    Z = R + j X

    R = resistance and X = reactance bothmeasured in ohms

    V = I x R

    or V = I x Z

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    Impedance

    InnerConductor

    Dielectric(Foam)

    Outer

    Conductor

    Cover (Jacket)

    dD

    History note:

    Older CATV coax had air dielectricutilizing plastic discs to support thecenter conductor.

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    Antenna

    50 ohms

    Source

    =

    50 ohms

    Cable=

    50 ohms

    Match!

    Impedance

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    Return Loss

    A typical system alwayshas some nominal

    impedance mismatch.Here the Return Loss is10 log (0.08 / 10) = -21dB

    Inc

    iden

    t:

    10W

    Re

    flec

    ted:

    0.08W

    50

    51

    PASS!

    Transmitted: 9.92W

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    Antenna

    50 ohms

    System Failures

    Source

    =

    50 ohms

    Cable

    =50 ohms

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    Antenna

    50 ohms

    System Failures

    When an impedance mismatch occurs in an RF subsystem, an amount

    of RF energy is reflected back to the source.

    95 ohms

    Source

    =

    50 ohms

    Mismatch!

    Smashed!

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    When something is wrong, much more energy

    will reflect causing performance failures.Here

    the Return Loss is10 log (4.1 / 10) =-3.87dB

    50

    95

    FAIL!

    Inc

    iden

    t:

    10W

    Re

    flec

    ted:4.1

    W

    System Failures

    Transmitted: 5.9W

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    System Failures

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    System Failures

    What is the standard torque

    spec of a 7/16 DIN?

    A) 18 to 22 ft-lbs.

    B) 50 to 55 ft-lbs.

    C) 122 to 127ft-lbs

    A

    Mini Group Quiz!

    RF components have some reflection but damaged components will cause largerreflections and in that case creates a system to fail.

    Positive Stop Connector

    - up to 70 ft-lbs

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    VSWR

    Voltage Standing Wave Ratio (VSWR) is

    related to Return Loss. The difference is that

    VSWR is read as a ratio instead of in dB.

    Here the VSWR is

    VSWR = (1+(10^21/20)) / (1-(10^21/20))

    Or

    -21dB RL = 1.195:1 VSWR

    50

    51

    PASS!

    Inc

    iden

    t:

    10W

    Re

    flec

    ted:

    0.0

    8W

    Transmitted: 9.92W

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    VSWR

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    VSWR

    Here the VSWR is

    VSWR = (1+(10^3.8/20)) / (1-(10^3.8/20))

    or-3.84 dB RL = 4.60:1 VSWR

    50

    95

    FAIL!

    Inc

    iden

    t:

    10W

    Re

    flec

    ted:4.1

    W

    Transmitted: 5.9W

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    VSWR

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    DTF

    Trave

    ltime(m

    s)

    Trave

    ltime

    (ms

    )Fault

    These tests work best when

    used as a references.

    Test results may be swayed

    by variables such as vector

    addition and subtraction of

    phase, interfering signals

    and cable lengths.

    Consider matching current

    test results to previously

    recorded tests and look for

    changes.

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    DTF

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    Effect of VSWR

    VSWRReturn

    Loss (dB)

    Transmission

    Loss (dB)

    Power

    Reflected (%)

    Power

    Trans. (%)

    1.00

    1.10

    1.20

    1.30

    1.40

    1.50

    2.00

    -

    -26.4

    -20.8

    -17.7

    -15.6

    -14.0

    -9.5

    0.00

    0.01

    0.04

    0.08

    0.12

    0.18

    0.51

    0.0

    0.2

    0.8

    1.7

    2.8

    4.0

    11.1

    100.0

    99.8

    99.2

    98.3

    97.2

    96.0

    88.9

    Good VSWR is only one component of an efficient antenna system.

    Note: 2 dB in Return Loss is much smaller than 2 dB of forward gain!

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    Source: COMSEARCH

    3D View

    Antenna Pattern

    Sh i A t P tt

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    Shaping Antenna Patterns

    Vertical arrangement of properly phased dipoles allows control of radiation

    patterns at the horizon as well as above and below the horizon.

    The more dipoles are stacked vertically, the flatter the beam is and the higher

    the antenna coverage or gain in the general direction of the horizon.

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    Shaping Antenna Patterns (con t . . .)

    Stacking 4 dipoles

    vertically in line changesthe pattern shape(squashes the doughnut)and increases the gainover single dipole.

    The peak of the horizontalor vertical patternmeasures the gain.

    The little lobes, illustratedin the lower section, aresecondary minor lobes.

    Apertureof Dipoles

    VerticalPattern

    HorizontalPattern

    4 DipolesVertically Stacked

    Single Dipole

    GENERAL STACKING RULE:

    Collinear elements (in-line vertically).

    Optimum spacing (for non-electrical tilt) is approximately 0.9.

    Doubling the number of elements increases gain by 3 dB, and reducesvertical beamwidth by half.

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    Gain References (dBd and dBi)

    An isotropic antenna isa single point in space

    radiating in a perfect

    sphere (not physically

    possible)

    A dipole antenna is one

    radiating element

    (physically possible)

    A gain antenna is two ormore radiating elements

    phased together

    0 (dBd) = 2.15 (dBi)

    Isotropic (dBi)

    Dipole (dBd)

    Gain

    Isotropic Pattern

    3 (dBd) = 5.15 (dBi)

    Dipole Pattern

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    Principles of Antenna GainDirectional Antennas

    Top View

    0 dBd

    3 dBd

    6 dBd

    9 dBd

    -3 dB

    180

    90

    -3 dB

    45

    -3 dB

    Omni AntennaSide View

    0 dBd

    3 dBd

    6 dBd

    9 dBd

    60

    -3 dB

    -3 dB

    30

    -3 dB

    7.5

    -3 dB

    15-3 dB

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    Gain vs. Length

    65 Az BW 90 Az BW 120 Az BW

    Antenna Length (wavelengths)

    Gain(dBi)

    0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 150

    5

    10

    15

    20

    25

    G=10 log ( )2.2 pL We2

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    Gain vs. Beamwidths

    65 Az BW 90 Az BW 120 Az BW

    Elevation Half Power Beamwidth (deg)

    Gain(dBi)

    2 4 6 8 10 12 14 16 18 20 22 24 26 28 300

    5

    10

    15

    20

    25

    G=10 log ( )29000AzBWEIBW

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    Antenna Gain

    Gain (dBi) = Directivity (dBi)Losses (dB)

    Losses: Conductor

    Dielectric

    ImpedancePolarization

    Measure Using Gain by Comparison

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    Polarization

    Electric and magnetic fields are

    interdependent => Electromagnetic wave

    Time-changing electric field generates

    magnetic field, vice versa

    An antennas polarization is a characteristic of

    the EM wave, i.e. electric fields orientation

    If antenna and incoming EM wave are co-polarized => Max response from antenna

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    BREAK

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    Various Radiator Designs

    Patch 800/900 MHz

    Directed Dipole

    MAR

    Microstrip Annular Ring

    Dipole 1800/1900/UMTSDirected Dipole

    Diversity (Dual-Pol)Directed Dipole

    Elements

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    Dipoles

    Single Dipole Crossed Dipole

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    Feed Harness Construction

    Series Feed Center Feed(Hybrid)

    CorporateFeed

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    Feed Harness Construction (cont . . .)

    Advantages:

    Disadvantages:

    Center Feed

    (Hybrid)

    Frequency

    independent main

    lobe direction

    Reasonably

    simple feed

    system

    Not as versatile as

    corporate (less

    bandwidth, less

    beam shaping)

    Corporate Feed

    Frequency

    independent main

    beam direction

    More beam

    shaping ability,

    side lobe

    suppression

    Complex feed

    system

    Series Feed

    Minimal feed losses

    Simple feed system

    BEAMTILT

    450 455 460 465 470 MHz+2

    +1

    0

    +1

    +2

    ASP-705

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    Microstrip Feed Lines

    Dielectric Substrate

    uses printed circuit technology

    power limitations

    dielectric substrate causes loss (1.0 dB/m)

    Air Substrate

    metal strip spaced above a groundplane

    minimal solder or welded joints

    laser cut or punched

    air substrate cause minimal loss (0.5 dB/m)

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    Air Microstrip Network

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    Dielectric Substrate Microstrip

    S ki Di l

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    Stacking Dipoles

    4 Dipoles

    8 Dipoles

    1 Dipole

    2 Dipoles

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    Azimuth Omni AntennaVertical Pattern

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    Directional Array AntennaPattern Simulation

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    Main Lobe

    What is it?

    The main lobe is the radiation patternlobe that contains the majority portion of

    radiated energy.

    Why is it useful?

    Shaping of the pattern allows the

    contained coverage necessary forinterference-limited system designs.

    How is it measured?

    The main lobe is characterized using a

    number of the measurements which will

    follow.

    35 TotalMain Lobe

    Half-Power Beamwidth

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    Half-Power BeamwidthHorizontal and Vertical

    What is it?

    The angular span between the half-power(-3 dB) points measured on the cut of the

    antennas main lobe radiation pattern.

    Why is it useful?

    It allows system designers to

    choose the optimum characteristicsfor coverage vs. interference

    requirements.

    How is it measured?

    It is measured using data collected from

    antenna range testing.

    1/2 Power

    Beamwidth

    What is T-Mobile standard?

    Most applications require 65 degrees in

    azimuth, ~5 degrees in elevation.

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    Front-To-Back Ratio

    What is it?

    The ratio in dB of the maximum directivity

    of an antenna to its directivity in a

    specified rearward direction.

    Why is it useful?

    It characterizes unwanted

    interference on the backside of the

    main lobe. The larger the number,

    the better!

    How is it measured?

    It is measured using data collected from

    antenna range testing.

    What is T-Mobile standard?

    30 dB throughout the region that is +/- 45 degrees directly back of the

    main lobe.

    F/B Ratio

    0 dB - 25 dB = 25 dB

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    Sidelobe Level

    What is it?

    Sidelobe level is a measure of a

    particular sidelobe or angular

    group of sidelobes with

    respect to the main lobe.

    Why is it useful?

    Sidelobe level or pattern

    shaping allows the minor lobeenergy to be tailored to the

    antennas intended use. See

    Null Fill and Upper Sidelobe

    Suppression.

    How is it measured?

    It is always measured with respect to the

    main lobe in dB.

    Sidelobe Level

    (-20 dB)

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    N ll Fill

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    Null Fill

    Important for antennas with narrow elevation beamwidths.

    Null Filled to 16 dB Below Peak

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    -100

    -80

    -60

    -40

    -20

    0

    Distance (km)

    Rece

    ivedLevel(dBm)

    Transmit Power = 1 W

    Base Station Antenna Height = 40 m

    Base Station Antenna Gain = 18 dBi

    Elevation Beamwidth = 6.5

    U Sid l b S i

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    Upper Sidelobe Suppression

    What is it?

    Upper sidelobe suppression (USLS) is an array

    optimization technique that reduces theundesirable sidelobes above the main lobe.

    Why is it useful?

    For arrays with a narrow vertical

    beamwidth (less than 12), USLS can

    significantly reduce interference due to

    multi-path or when the antenna is

    mechanically downtilted.

    How is it measured?

    USLS is the relative dB difference

    between the peak of the main beam

    peak of the first upper sidelobe.

    What is T-Mobile standard?

    Upper side lobes must be at least18 dB from the main lobe through

    zenith.

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    C P l R ti (CPR)

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    Cross-Pol Ratio (CPR)

    What is it?

    CPR is a comparison of the co-pol vs. cross-pol

    pattern performance of a dual-polarizedantenna generally over the sector of interest

    (alternatively over the 3 dB beamwidth).

    Why is it useful?

    It is a measure of the ability of a dual-pol array to

    distinguish between orthogonal EM waves. The

    better the CPR, the better the performance of

    polarization diversity.

    How is it measured?

    It is measured using data collected from antenna

    range testing and compares the two plots in dB

    over the specified angular range.

    What is T-Mobile standard?

    16 dB minimum for azimuth pattern.

    -40

    -35

    -30

    -25

    -20

    -15

    -10

    -5

    0

    120

    TYPICAL

    -40

    -35

    -30

    -25

    -20

    -15

    -10

    -5

    0

    120

    LOG

    Co-Polarization

    Cross-Polarization

    (Source @ 90)

    H i t l B T ki

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    Horizontal Beam Tracking

    What is T-Mobile standard?

    The beams shall track within 1 dB over the 3

    dB horizontal beamwidth.

    What is it?

    It refers to the beam tracking between the two

    beams of a +/-45 polarization diversity antennaover a specified angular range.

    Why is it useful?

    For optimum diversity

    performance, the beams should

    track as closely as possible.

    How is it measured?

    It is measured using data collected

    from antenna range testing and

    compares the two plots in dB over

    the specified angular range.

    120

    +45-45Array Array

    B S i t

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    Beam Squint

    What is it?

    The amount of pointing error of a given beam

    referenced to mechanical boresite.

    Why is it useful?

    The beam squint can affect the sector

    coverage if it is not at mechanical

    boresite. It can also affect the

    performance of the polarizationdiversity style antennas if the two

    arrays do not have similar patterns.

    How is it measured?

    It is measured using data collected

    from antenna range testing.

    What is T-Mobile standard?

    For the horizontal beam, squint shall be less than 10% of the 3

    dB beamwidth. For the vertical beam, squint shall be less than

    10% of the 3 dB beamwidth.

    -3 dB +3 dB

    Squint/2

    HorizontalBoresite

    S t P R ti (SPR)

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    Sector Power Ratio (SPR)

    What is it?

    SPR is a ratio expressed in percentage of the

    power outside the desired sector to the powerinside the desired sector created by an

    antennas pattern.

    Why is it useful?

    It is a percentage that allows comparison

    of various antennas. The better the SPR,the better the interference performance of

    the system.

    How is it measured?

    It is mathematically derived from the

    measured range data.

    What is T-Mobile standard?

    (Being studied.)PUndesired

    SPR (%) = X 100

    PDesired

    300

    60

    60

    300

    120

    DESIRED

    UNDESIRED

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    Percentageof

    capacityloss

    overlapping angle in degree

    On the Capacity and Outage Probability of a CDMA Heirarchial Mobile

    System with Perfect/Imperfect Power Control and SectorizationBy: Jie ZHOU et, al IEICE TRANS FUNDAMENTALS, VOL.E82-A, NO.7 JULY 1999

    . . . From the numerical results, the user capacities are dramatically decreased as the

    imperfect power control increases and the overlap between the sectors (imperfect

    sectorization) increases . . .

    Effect of Soft and Softer Handoffs

    on CDMA System Capacity

    By: Chin-Chun Lee et, al IEEE

    TRANSACTIONS ON VEHICULAR

    TECHNOLOGY, VOL. 47, NO. 3,

    AUGUST 1998

    120 Sector Overlay Issues

    Qualitatively, excessive overlay also

    reduces capacity of TDMA and GSM

    systems.

    The Impact:

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    The Impact:Lower Co-Channel Interference/Better Capacity & Quality

    The rapid roll-off of the lower lobes of

    the log periodic antennas create larger,

    better defined conesof silence behind the array.

    Much smaller softer hand-off area

    Dramatic call quality improvement

    5% - 10 % capacity enhancement

    Log Per iodics (Example)

    In a three sector site, traditional

    antennas produce a high degree ofimperfect power control or sector

    overlap.

    Imperfect sectorization presents

    opportunities for:

    Increased softer hand-offs

    Interfering signals Dropped calls

    Reduced capacity

    Tradit ional Flat Panels

    65 90

    65 90

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    Key antenna parameters to examine closely

    Antenna-Based System Improvements

    Roll off

    at -/+ 60

    -10 dB

    points

    HorizontalAnt/AntIsolation

    -16dB -12dB

    -7dB -6dB

    120Cone of Silence with >40dB

    Front-to-Back Ratio

    60Area of Poor Silence with>27dB Front-to-Back Ratio

    Standard 85 Panel AntennaLog Periodic

    74 83

    74 83

    Next Sector

    Ant/AntIsolation

    -35dB -18dB

    Coneof Silence

    Dipole vs LP Element

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    Dipole vs. LP Element

    Azimuth Pattern Comparison:

    1850 MHz, 2-Deg EDT

    -50

    -40

    -30

    -20

    -10

    0

    -180 -150 -120 -90 -60 -30 0 30 60 90 120 150 180

    Azimuth Angle (Degrees)

    Amplitude(d

    B)

    System Issues

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    System Issues

    Choosing sector antennas

    Downtiltelectrical vs. mechanical

    RET optimization

    Passive intermodulation (PIM)

    Return loss through coax

    Pattern distortion, alignment, orientation

    Antenna isolation

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    Choosing Sector Antennas

    For 3 sector cell sites, what performance differences can

    be expected from the use of antennas with different

    horizontal apertures?

    Criteria: Area of service indifference between adjacent sectors

    (ping-pong area).

    For comparison, use 6 dB differentials.

    Antenna gain and overall sector coverage.

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    3 x 90 Antennas

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    3 x 90 Antennas

    5 dB

    4390

    HorizontalOverlayPattern

    3 x 65 Antennas

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    3 x 65 Antennas

    24

    6 dB

    65

    HorizontalOverlayPattern

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    Beam Downtilt

    In urban areas, service and frequency utilization are

    frequently improved by directing maximum radiation power at

    an area below the horizon.

    ThisTechnique:

    Improves coverage of open areas close

    to the base station.

    Allows more effective penetration of

    nearby buildings, particular high-traffic

    lower levels and garages.

    Permits the use of adjacent frequencies

    in the same general region.

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    Electrical/Mechanical Downtilt

    Mechanical downtilt lowers main beam, raises back lobe.

    Electrical downtilt lowers main beam and lowers back lobe.

    A combination of equal electrical and mechanical downtilts

    lowers main beam and brings back lobe onto the horizon!

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    Electrical/Mechanical Downtilt

    Mechanical Electrical

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    Mechanical Downtilt Mounting Kit

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    Mechanical Downtilt

    Pattern Analogy: Rotating a Disk

    Mechanical Tilt Causes:

    Beam Peak to Tilt Below Horizon

    Back Lobe to Tilt Above Horizon

    At 90 No Tilt

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    Mechanical Downtilt Coverage

    0

    10

    20

    30

    40

    50

    60

    708090100

    110

    120

    130

    140

    150

    160

    170

    180

    190

    200

    210

    220

    230

    240

    250260 270 280

    290

    300

    310

    320

    330

    340

    350

    0

    10

    20

    30

    40

    50

    60

    708090100

    110

    120

    130

    140

    150

    160

    170

    180

    190

    200

    210

    220

    230

    240

    250260 270 280

    290

    300

    310

    320

    330

    340

    350

    80 1064Mechanical Tilt

    Elevation Pattern Azimuth Pattern

    Sample Antenna

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    0 Mechanical Downtilt

    85

    Sample Antenna

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    7 Mechanical Downtilt

    93

    Sample Antenna

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    15 Mechanical Downtilt

    123

    Sample Antenna

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    20 Mechanical Downtilt

    Horizontal

    3 dB Bandwidth

    Undefined

    Managing Beam Tilt

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    For the radiation pattern to show maximum gain in the direction

    of the horizon, each stacked dipole must be fed from the signal

    source in phase. Feeding vertically arranged dipoles out ofphase will generate patterns that look up or look down.

    The degree of beam tilt is a function of the phase shift of one

    dipole relative to the adjacent dipole and their physical spacing.

    GENERATINGElectrical BEAMTILT

    Dipoles Fed w/ Uniform Phase Dipoles Fed w/ Sequential Phase

    ExciterPhase

    Energy

    in

    Exciter

    El t i l D tilt

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    Electrical Downtilt

    Pattern Analogy: Forming a Cone Out of a Disk

    Electrical Tilt Causes:

    Beam Peak to Tilt Below Horizon

    Back Lobe to Tilt Below Horizon

    All portions of the Pattern Tilts

    Cone of the Beam Peak Pattern

    El t i l D tilt C

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    Electrical Downtilt Coverage

    0

    10

    20

    30

    40

    5060

    708090100

    110

    120130

    140

    150

    160

    170

    180

    190

    200

    210

    220

    230

    240

    250 260 270 280 290

    300

    310

    320

    330

    340

    350

    80 1064Electrical Tilt

    0

    10

    20

    30

    40

    5060

    708090100

    110

    120130

    140

    150

    160

    170

    180

    190

    200

    210

    220

    230

    240

    250 260 270 280 290

    300

    310

    320

    330

    340

    350

    Elevation Pattern Azimuth Pattern

    M h i l El t i l D tilt

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    Mechanical vs. Electrical Downtilt

    With Variable Electrical Downtilt (VED)

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    With Variable Electrical Downtilt (VED),

    you can adjust anywhere in seconds.

    Sample Antenna3 El t i l D tilt

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    3 Electrical Downtilt

    Sample Antenna8 El i l D il

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    8 Electrical Downtilt

    Sample AntennaO l El i l D il

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    Overlay Electrical Downtilt

    3

    6

    8

    Remote Electrical Downtilt (RET)O ti i ti

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    Optimization

    ANMS

    Future

    ATC100 Series

    ATC200 Series

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    BREAK

    Causes of Inter Modulation Distortion

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    Causes of Inter-Modulation Distortion

    Ferromagnetic materials in the current path:

    Steel

    Nickel Plating or Underplating

    Current Disruption:

    Loosely Contacting Surfaces

    Non-Conductive Oxide Layers Between Contact

    Surfaces

    Intermod InterferenceWhere?

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    Where?

    F1

    TxF1

    Tx

    F2

    RxF3

    RECEIVER-PRODUCED

    F3

    TxF1

    Tx

    F2

    RxF3

    TRANSMITTER-PRODUCED

    F2

    F1

    Rx3

    ANTENNA-PRODUCED

    DUP

    F2

    Tx1

    Tx2

    CO

    M

    B

    F3

    Rx

    F3

    ELSEWHERE

    Tx1

    Tx2

    Remember dBc?

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    IMDInter-Modulation Distortion

    PIMPassive Inter-Modulation

    dBc with antennas work like this

    - 2 tones @ 20Watts = 43dBm

    - Scan for 3rdorder of those 2 carriers

    - If 3rdorder = -110dBm then that = -153dBc

    110dBm + 43dBm = 153dBc

    PCS A-BandProduct Frequencies Two-Signal IM

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    Product Frequencies, Two-Signal IMFIM= nF1 mF2

    Example: F1= 1945 MHz; F2= 1930 MHz

    1 1 Second 1F1+ 1F2 3875

    1F11F2 15

    2 1 Third 2F1+ 1F2 5820

    *2F11F2 19601 2 Third 2F2+ 1F1 5805

    *2F21F1 1915

    2 2 Fourth 2F1+ 2F2 7750

    2F12F2 30

    3 2 Fifth 3F1+ 2F2 9695*3F12F2 1975

    2 3 Fifth 3F2+ 2F1 9680

    *3F22F1 1900

    Product Product Productn m Order Formulae Frequencies (MHz)

    *Odd-order difference products fall in-band.

    Two-Signal IMOdd-Order Difference Products

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    Odd-Order Difference Products

    Example: F1= 1945 MHz; F2= 1930 MHz

    F = F1- F2= 15

    Third Order: F1+ F; F2-F

    Fifth Order: F1+ 2F; F2- 2F

    Seventh Order:: F1+ 3F; F2- 3F

    Higher than the highest lower than the lowestnone in-between

    F

    5th

    F22F

    3F22F1

    1900

    F2

    F2

    1930

    F1

    F1

    1945

    3rd

    2F1F2

    1960

    F1+ F

    5th

    F1+ 2F

    3F12F2

    1975

    3rd

    2F

    2F2F1

    1915

    F2F

    2F

    F F

    PCS Duplexed IM

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    Own Rx Any Rx

    Tx Rx Band Band IM Equations

    Band Frequency Frequency IM Order IM Order Own Rx Band Any Rx Band

    A 1930-1945 1850-1865 11th 5th =6*Tx(low)-5*Tx(high)=1855 =3*Tx(low)-2*Tx(high)=1900

    B 1950-1965 1870-1885 11th 7th =6*Tx(low)-5*Tx(high)=1875 =4*Tx(low)-3*Tx(high)=1905

    C 1975-1990 1895-1910 11th 11th =6*Tx(low)-5*Tx(high)=1900 =6*Tx(low)-5*Tx(high)=1900

    A Band IM

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    11th1855

    9th1870

    7th1885

    5th1900

    3rd1915 1930 1945

    Channel Bandwidth

    Block (MHz) Frequencies

    C 30 1895-1910, 1975-1990

    C1 15 1902.5-1910, 1982.5-1990

    C2 15 1895-1902-5, 1975-1982.5

    C3 10 1895-1900, 1975-1980

    C4 10 1900-1905, 1980-1985

    C5 10 1905-1910, 1985-1990

    Note: Some of the original C Block

    licenses (Originally 30 MHz each) were

    split into multiplelicenses (C-1 and C-2:

    15 MHz; C-3, C-4, and C-5: 10MHz).

    FCC Broadband PCS Band Plan

    A and F Band IM

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    3rd1895 1935 1975

    Channel Bandwidth

    Block (MHz) Frequencies

    C 30 1895-1910, 1975-1990

    C1 15 1902.5-1910, 1982.5-1990

    C2 15 1895-1902-5, 1975-1982.5

    C3 10 1895-1900, 1975-1980

    C4 10 1900-1905, 1980-1985

    C5 10 1905-1910, 1985-1990

    Note: Some of the original C Block

    licenses (Originally 30 MHz each) were

    split into multiplelicenses (C-1 and C-2:

    15 MHz; C-3, C-4, and C-5: 10MHz).

    FCC Broadband PCS Band Plan

    System VSWR Calculator

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    Frequency (MHz): 895.00

    System

    Component

    Max.

    VSWR

    Return

    Loss (dB)Cable Type

    Cable

    Length (m)

    Cable

    Length (ft)

    Insertion

    Loss (dB)

    Reflections

    at input

    Antenna 1.33 16.98 0.0983

    Top Jumper 1.07 29.42 2 1.22 4.00 0.08 0.0239

    Main Feed Line 1.11 25.66 1 30.48 100.00 1.18 0.0484

    Surge Suppressor 1.07 29.42 0.20 0.0329

    Bottom Jumper 1.07 29.42 2 1.83 6.00 0.13 0.0338

    1.59

    Jumper Cable Types: 0.1216

    FSJ4-50B 1.28

    LDF4-50A 18.3

    Main Feedline Cable Types: 0.2372

    LDF5-50A 1.62

    LDF6-50 12.5

    LDF7-50A

    VXL5-50

    VXL6-50 1.59

    VXL7-50

    Return Loss (dB) VSWR feet meters

    28.00 1.0829 4.00 1.22

    Estimated System Reflection:

    Estimated System VSWR:

    Estimated System Return Loss (dB):

    Return Loss to VSWR converter Feet to meters converter

    Maximum System Reflection:

    Maximum System VSWR:

    Maximum System Return Loss (dB):

    Total Insertion Loss (dB):

    LDF4-50A

    LDF5-50A

    LDF4-50A

    Antenna Pattern Distortions

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    Antenna Pattern Distortions

    Conductive (metallic) obstruction in the path

    of transmit and/or receive antennas may

    distort antenna radiation patterns in a way

    that causes systems coverage problems and

    degradation of communications services.

    A few basic precautions will prevent pattern

    distortions.

    105 Horizontal PatternNo Obstacle

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    No Obstacle

    Antenna

    880 MHz300

    105330

    270

    240

    210

    180

    150

    120

    60

    30

    0

    90

    -5

    0

    +5

    +10

    +15

    -10

    105 Horizontal PatternObstruction at -10 dB Point

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    Obstruction at -10 dB Point

    330

    300

    270

    240

    210

    180

    150

    120

    90

    60

    30

    0

    Antenna

    880 MHz

    0

    -10 dB Point

    Building

    Corner

    105 Horizontal PatternObstruction at -6 dB Point

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    Obstruction at -6 dB Point

    330

    300

    270

    240

    210

    180

    150

    120

    90

    60

    30

    0

    880 MHz

    Antenna

    0 -6 dB Point

    Building

    Corner

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    90 Horizontal PatternNo Obstacle

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    No Obstacle

    Antenna

    880 MHz

    330

    300

    270

    240

    210

    180

    150

    120

    90

    60

    30

    0

    -5

    0

    +5

    +10

    +15

    -10

    90 Horizontal Pattern0.5 l Diameter Obstacle at 0

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    0.5 l Diameter Obstacle at 0

    330

    300

    270

    240

    210

    180

    150

    120

    90

    60

    30

    0

    880 MHz

    Antenna

    0

    12

    90 Horizontal Pattern0.5 l Diameter Obstacle at 45

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    0.5 l Diameter Obstacle at 45

    330

    300

    270

    240

    210

    180

    150

    120

    90

    60

    30

    0

    880 MHz

    Antenna

    845

    90 Horizontal Pattern0.5 l Diameter Obstacle at 60

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    0.5 l Diameter Obstacle at 60

    330

    300

    270

    240

    210

    180

    150

    120

    60

    30

    0

    90

    880 MHz

    Antenna

    660

    90 Horizontal Pattern0.5 l Diameter Obstacle at 80

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    0.5 l Diameter Obstacle at 80

    330

    300

    270

    240

    210

    180

    150

    120

    60

    30

    0

    90

    880 MHz

    Antenna

    80

    General Rule

    A h d b f f b i ( 0 W )

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    Area that needs to be free of obstructions (> 0.57 WL)

    Antenna90 horizontal (3 dB) beamwidth

    Maximum Gain

    3 dB Point(45)

    6 dB Point(60)

    10 dB Point

    (80 - 90)

    > 12 WL

    > 3 WLWL

    Attenuation Provided By Vertical

    S ti f Di l A t

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    Antenna Spacing in Feet (Meters)

    The values indicated by these curves are approximate because of coupling which exists between the

    antenna and transmission line. Curves are based on the use of half-wave dipole antennas. The curves

    will also provide acceptable results for gain type antennas. Values are measured between the physical

    center of the tower antennas and the antennas are mounted directly above the other, with no horizontal

    offset (collinear). No correction factor is required for the antenna gains.

    IsolationindB

    Separation of Dipole Antennas

    Attenuation Provided By Horizontal

    S ti f Di l A t

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    Separation of Dipole Antennas

    Antenna Spacing in Feet (Meters)

    Curves are based on the use of half-wave dipole antennas. The curves will also provide acceptable

    results for gain type antennas if (1) the indicated isolation is reduced by the sum of the antenna gains

    and (2) the spacing between the gain antennas is at least 50 ft. (15.24 m) (approximately the far field).

    IsolationindB

    Pattern Distortions

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    tan =

    d = D *tan

    tan 1 = 0.01745

    Note: tan 10 = 0.1763 10 *0.01745 = 0.1745

    dD

    a

    Antenna Elevation Pattern

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    Base Station Antenna w/ 4 Deg EDT

    -50

    -40

    -30

    -20

    -10

    0

    -180 -150 -120 -90 -60 -30 0 30 60 90 120 150 180

    Elevation Angle (Degree)

    Amplitud

    e(dB)

    Gain Points of a Typical Main Lobe(Relative to Maximum Gain)

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    ( )

    -3dB point below bore sight.

    -6dB point 1.35 * below bore sight.

    -10 dB point 1.7 * below bore sight.

    Vertical

    BeamWidth= 2

    (-3dB point)

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    Performance of Sample PCS AntennaBehind Camouflage (" Fiberglass)

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    1.2

    1.3

    1.4

    1.5

    1.6

    1.7

    10 2 3 4 5 6 7 8 9 10 11 12

    Distance of Camouflage (Inches) (Dim. A)

    VSWR(W

    orstCase)

    W/Plain Facade W/Ribbed Facade Without Facade

    FIBERGLASS

    PANEL

    DIM A

    CellSiteAnt.

    1/4 1/2 1 21-1/2

    330 30

    0 90

    330 30

    0

    102

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    Distance

    FromFiberglass

    No Fiberglass

    300

    270

    240

    210

    180

    150

    120

    60

    90

    -20

    -25

    -30

    -35

    -40

    -45

    -50

    -55

    330

    300

    270

    240

    210

    180

    150

    120

    60

    30

    0 68

    90

    -20

    -25

    -30

    -35

    -40

    -45

    -50

    -15

    1.5" to Fiberglass

    3" to Fiberglass

    300

    270

    240

    210

    180

    150

    120

    60

    90

    -25

    -30

    -35

    -40

    -45

    -50

    -55

    -20

    330 30

    0

    112

    330

    30

    077

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    DistanceFrom

    Fiberglass

    6" to Fiberglass

    300

    270

    240

    210

    180

    150

    120

    60

    -20

    -25

    -30

    -35

    -40

    -45

    -50

    -15

    90

    4" to Fiberglass

    300

    270

    240

    210

    180

    150

    120

    60

    90

    -20

    -25

    -30

    -35

    -40

    -45

    -50

    -15

    330

    300

    270

    240

    210

    180

    150

    120

    60

    30

    0 108

    90

    -20

    -25

    -30

    -35

    -40

    -45

    -50

    -15