Question: [Comparison of Hard- and Soft-Decision Schemes] A binary input channel uses the two input levels A and -A. The output of the channel is the sum of the input and an additive white Gaussian noise with mean 0 and variance a-2. This channel is used under two different conditions. In one case, the output is used directly without quantization (soft decision), and in the other case, an optimal decision is made on each input level (hard decision). Plot the capacity in each case as a function of A/a-.