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    Terminologies and Units

    Ms. Zeng FanshengEngineer of Spectrum Engineering Division

    State Radio Monitoring Center

    [email protected]

    +8610-68355711

    Radio Monitoring and Spectrum Management Training

    (China,23-31,May,2005)

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    Content

    1. Units;

    2. Antenna gain;

    3. ERP & EIRP;4. PFD;

    5. Station Coordinates;

    6. Database.

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    dB

    Expressing the ratio of two values

    dB = 10 log (P2/P1)

    P2 --- Variable power ,(watt, milliwatt or microwatt),

    P1 --- Reference power, (watt, milliwatt or microwatt).

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    Why we choose dB?

    e.g. Pr=10watts, Pt=10000watts,

    Pt/Pr=1000

    10 log (Pt/Pr)=10log(Pt/)-10log(Pr)=30dB

    in linear scale

    in logarithmic scale

    Pt/Pr

    1000

    30

    x

    y

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    dBw / dBmw / dBw

    Expressing the ratio of two power

    dBx = 10 log (P2/P1)

    P2 --- Variable power ,(watt, milliwatt or microwatt),P1 --- Reference power,commonly equal to 1, (watt, milliwatt

    or microwatt).

    X --- Variable

    e.g.

    P1=1watt,P2=5watts, 10log(5watts/1watt)=7dBw

    P1=1mW,P2=5mW, 10log(5mW/1mW)=7dBmw=7dBm

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    dBv / dBc

    Expressing voltage or current ratios

    dB Voltage = 20 log (V2/V1),or dB Current = 20 log (I2/I1)

    V2(I2) --- Variable voltage, (volt, ampere),

    V1(I1) --- Reference voltage, commonly equal to 1, (volt,

    ampere).

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    dB units and their reference levels

    Unit Reference

    dBw 1 watt

    dBm 1 milliwattdBkW 1 kilowatt

    dBV 1 volt

    dBmV 1 millivolt

    dBV 1 microvoltdBV/m 1 microvolt/meter

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    Conversion

    dBkW = dBW - 30

    dBm = dBW + 30

    dBmV = dBV + 60

    dBV = dBV + 120

    dBm = dBV - 107 (impedance = 50 ohms)

    dBV/m = dBV + ke/dB(m

    1) (ke is antenna factor )

    dBm = dBW + 30

    dBmV = dBV + 60

    dBm = dBV - 107 (impedance = 50 ohms)

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    dBm/dBW dBmV/dBV

    dBm = dBW + 30

    dBmV = dBV + 60

    dBmmwmwmwwatts 40)1/1010log(10)1/10log(10 3

    dBwwwatts 10)1/10log(10

    dBmVmVmVdBVoltVolt 80)1/1010log(20V20)1/10log(20 3

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    dBm/dBV

    dBm = dBV - 107 (impedance = 50 ohms)

    P --- MilliWatt, U---MicroVoltage, R---Ohms

    )log(10)log(20)log(10

    2

    RUP

    R

    UP

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    Exercise

    1. Power=25watts = ? dBw = ? dBm

    2. Voltage = 0.5 V, Impedance =50ohms, Power=?dBm

    Power=20log(0.5)-137=(-6)-107=-113 dBm

    Power=10log(25watts/1watt)= 13.98 dBw

    =13.98 dBw + 30dB = 43.98 dBm

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    Antenna gain

    Omni-directional

    Gi, dBi

    Directional

    Gd,dBd

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    Antenna Directional Characteristics

    isotropic dipole

    Gi (dBi) Gd (dBd)

    dBd =dBi - 2.15 dB (logarithmic scale)

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    omni-directional directional

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    Effective Radiated Power (ERP)

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    ERP

    ERP = P L + Gd;

    P --- Transmitter Power, dBw;

    L --- Loss, dB;

    Gd--- Antenna Gain, dBd

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    ERP (Cont.)

    ERP=y-0.25-x-0.25+z

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    Equivalent Isotropically RadiatedPower (EIRP)

    EIRP = P L + Gi

    P --- Transmitter Power, dBw;

    L --- including Connector Loss, Cable Loss,

    Ancillary Equipment Loss, etc.dB;

    Gi--- Antenna Gain, dBi.

    ERP = 0.61 EIRP (linear scale)ERP =EIRP - 2.15 dB (logarithmic scale)

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    Power flux-density (PFD)

    2/dBW m

    2

    2

    2i

    4

    4pfd

    4

    (pfd)

    dAgPP

    d

    gPd

    P

    eeer

    ee

    e

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    Designation of Emissions

    For example: 27M0G7WDT

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    Longitude & Latitude

    GPS

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    Height

    Altitude

    Above sea level/Above ground

    Effective Height

    Height finder

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    Database

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    Technical Data

    Transmitter output power;

    Antenna type and associated gain;

    Cable/transmission line loss;

    Effective radiated power(ERP);

    Station coordinates.

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    Database

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    Collection and input

    Accuracy

    Maintenance

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    summary

    dB/dBW/dBV;

    Antenna gain;

    Effective Radiated Power (ERP);

    Equivalent Isotropically Radiated Power(EIRP);

    Field-Strength and Power Flux-Density;

    Designation of Emissions;

    LongitudeLatitude & Height;

    Database.