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Assume a receiver is located at 10 kms away from 50 watt transmitter. The carrier frequency is 900 MHz.

Free space propagation is assumed,Gt=1 and Gr=2

Find:-

a) Power at receiver

b) Magnitude of E field at receiving antenna

c) The RMS voltage applied to Receiver input assuming that receiving antenna has purely real impedance of 50 ohms and is matched to the receiver.

Mumbai University > Electronics and Telecommunication > Sem 7 > Mobile Communication

Marks: 10 M

Year: May 2015

1 Answer
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Given:

Transmitter power pt=50watts

Carrier frequency fc=900MHz

Transmitter antenna gain Gt=1

Receiver antenna gain Gr=2

Power received at distance d=10 km is

  1. Power at receiver pr(d)=10log(ptGtGrλ2((4π)2d2)

pr(d)=10log(50×1×2×(1/3)24π×100002)

pr(d)=91.5dBw=61.5dBm

  1. Magnitude of E field at receiving antenna |E|=2pr(d)120πAe
    |E|=2pr(d)120πGrλ24π

|E|=27×1010×120π2×0.332/4π=0.0039V/m

  1. Open circuit RMS voltage at receiver input:

vant=pr(d)×4Rant=7×1010×4×50=0.374mV

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