Obtain the receiving response to an input signal

Obtain the receiving response to an input signal

x(t) = e−λt

for the above receiving point.

Suppose the auto-correlation function of an input signal is

rin(t) = e−at .

Calculate the auto-correlation functions for the output response in a system where

the auto-correlation function of the impulse response is given by

rsys(t) = e−bt


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