Solve the following problem:
Consider a signal detector with an input r= ±A + n
where +A and -A occur with equal probability and the noise variable n is characterized by the (Laplacian) PDF shown in Figure .
1. Determine the probability of error as a function of the parameters A and σ.
2. Determine the SNR required to achieve an error probability of 10-5. How does the SNR compare with the result for a Gaussian PDF?