1. A digital transmission system employs the waveforms with equal probability p 1 = p 2 ….

1. A digital transmission system employs the waveforms

with equal probability p1 = p2. Evaluate the error probability when the noise PSD is  and the threshold is 0.

2. A digital transmission system employs two linearly dependent waveforms, with constellation s1 = V0 and s2 = −V0, and probabilities  Let the noise at the decision point be independent of the useful signal, have standard deviation σI = V0/8, and a

Laplacian PDF

Determine the optimum decision rule and the corresponding error probability.

 

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