Question: A binary transmission system sends a 0 bit using -1 voltage signal and 1 bit by transmitting +1. The received signal is corrupted by noise

A binary transmission system sends a "0" bit using -1 voltage signal and "1" bit by transmitting +1. The received signal is corrupted by noise N that has a Laplacian distribution with parameter alpha. Assume that "0" bits and "1" bits are equi-probable. Find the pdf of the received signal Y = X + N. where X is the transmitted signal, given that a "0" was transmitted: that a "1" was transmitted. Suppose that the receiver decides a "0" was sent if Y

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