# Consider a system with 0.1 mW transmit power, 0dBi gain for transmit and receive antennas, operating

Consider a system with 0.1 mW transmit power, 0dBi gain for
transmit and receive antennas, operating at 500 MHz carrier frequency with 100
kHz bandwidth. The system operates in a suburban environment. Assume the
receiver noise figure is 6 dB and the noise temperature of the receive antenna
is 200K, independent of frequency

a. Determine the SNR received at a distance of 1km, assuming
free space propagation?

b. How does the SNR change when the carrier frequency is
increased to 5 GHz?

c. Explain why does the 5 GHz system show a significantly
lower SNR? Is the receiver antenna noise

Consider a system with 0.1 mW transmit power, 0dBi gain for
transmit and receive antennas, operating at 500 MHz carrier frequency with 100
kHz bandwidth. The system operates in a suburban environment. Assume the
receiver noise figure is 6 dB and the noise temperature of the receive antenna
is 200K, independent of frequency

a. Determine the SNR received at a distance of 1km, assuming
free space propagation?

b. How does the SNR change when the carrier frequency is
increased to 5 GHz?

c. Explain why does the 5 GHz system show a significantly
lower SNR? Is the receiver antenna noise temperature independent of frequency
(see Figures 4.20 to 4.24)? For a given physical size, are the gains of
transmit and receive antennas independent of frequency? In view of the above,
what can you say about the frequency dependence of SNR?

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