Probability Pillai 'Deterministic signals in Colored Noise -- Optimum Rx'

Determination of the "best" receiver for a deterministic signals immersed in colored noise. "Best" in the sense of maximizing the output instantaneous signal power at the decision instant to the average output noise power. When the noise is white at the input, the matched filter is the optimum receiver. if the nose is colored, then whiten the noise first, this transforms the input signal, and then match to the modified signal.