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Mobile Communications

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The signal transmitted by a Base Station has a power of 1 mW at a distance of 1 m from the transmitter. Measurements have shown that the propagation exponent for the path loss is n=3 up to a distance of 1 km and n=4 beyond that. For adequate signal quality, a signal to noise ratio of at least 15 dB is required. Find the maximum cell radius if an AMPS receiver with bandwidth 30 kHz and total noise figure (including the antenna) F=6 dB is used and (a) there is no shadowing, and (b) quality objective is to be met with probability 99% in the presence of log-normal shadowing with σ = 6 dB.

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