A Gaussian source with mean zero and variance 1 is to be transmitted via a channel that can provide a transmission capacity of 1 bit per each source output
a) what is the minimum mean-squared-error achievable (e.g., distortion)?
b) if the maximum tolerable distortion is 0.01, what is the required transmission capacity per source output?
c) if the maximum tolerable distortion is 1, what is the required transmission capacity per source output?