Reciprocal optimization of noise and signal spectra

Noise sources and methods of optimizing reception are discussed. An optimum noise spectrum in the sense of the most efficient jamming performance is calculated for receivers which use signal-matched filtering or well-known optimal filtering procedures against colored noise. In the case of an optimal filter receiver being jammed by colored noise, a favorable noise spectrum which depends on the value of the amplitude spectrum of the signal is obtained. An extension of the investigation to optimization of the signal spectrum, in the sense of maximal signal-to-noise ratio in the presence of stationary noise, leads to a signal with a broad and uniformly spread spectral density. The optimum strategy for the signal and noise spectral forms thus leads back to the white noise case.