Function of ambiguity of random signals

A generalization is presented of the concept of the ambiguity function for random signals. The use of the formulas obtained is demonstrated with two specific signals serving as an example. The Woodward ambiguity function, which plays an important role in radar theory, was obtained for the case of determined signals, where interfering noise is white and Gaussian. Wide-band random and pseudorandom signals have recently been used in radar. The possibility of compressing such signals into a very narrow pulse is suggested.