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# s3 - Compen/EE 362 Asst 3 Solution Spring 2011 Problem 1 A...

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Compen/EE 362 Asst. 3 Solution Spring 2011 Problem 1 . A radio signal in free space has its power reduced in proportion to the inverse of the square of the distance from the antenna. Note that this is not the same attenuation behavior as propagation over a transmission line. If a radio signal has been reduced to 20 dB below some reference value after it propagates 2 kilometers, what would its dB loss be relative to the same reference after a) 8 kilometers; b) 20 kilometers? Solution. a) At 4 times the distance, the 10 power is reduced by a 1/16 factor. 10 log 16 = 12, so down 20+12 =32 dB. b) At 10 times the distance, the power is reduced by a 1/100 factor. 10 10 log 100 = 20, so down 20+20 = 40 dB.

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Problem 2 . It is desired to have full duplex communication over a cable between A and B such that they can simultaneously transmit 56 kilobits/second to each other. They must share a total bandwidth of 60 khz, which can be divided between them by band pass filters, assumed with no guard band waste. Assume a pulse rate D pulses/second requires a bandwidth of W = 1.5D herz. Multiple phase shift keying is to be used,
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s3 - Compen/EE 362 Asst 3 Solution Spring 2011 Problem 1 A...

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