Microscopic correlation signals

Microscopic correlation signals are discrete-time signals whose autocorrelation function R (k) vanishes for all lags except O. This property is usually obtained by using pseudo-random sequences such as white noise. We show that the impulse response of a phase filter can be considered as an infinite signal with the microscopic correlation property. In this paper, characteristics of such signals are studied. Approximation by finite duration signals is investigated and this truncation is shown to have less effect on the autocorrelation function than truncation of other pseudo-random sequences.