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A source with bandwidth 4000 Hz is samples at Nyquist rate of 8000 sample/sec. Assume that a DMS with alphabet S = {-2, -1, 0,

A source with bandwidth 4000 Hz is samples at Nyquist rate of 8000 sample/sec. Assume that a DMS with alphabet S = {-2, -1, 0, 1, 2} and with corresponding probabilities {0.5, 0.25, 0.125, 0.0625, 0.0625} find the entropy of the source and its rate.

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