STATISTICAL CHARACTERISTICS OF TWO-DIMENSIONAL AUTOCORRELATION FUNCTIONS IN NOISE-LIKE COMPLEX SIGNALS

Abstract

For various terrestrial and satellite radio systems, the task of detecting complex signals under conditions of a priori uncertainty, when their parameters, including the modulation law, is unknown, is relevant. Detection of such signals can be combined with estimation (measurement) of their parameters, such as carrier frequency and delay time. A method for calculating two-dimensional autocorrelation functions of noise-like complex signals has been developed and their types have been studied depending on the type of pseudo-random sequences on the basis of which they are formed, as well as the modes of emission of these signals in radio systems. Regularities have been revealed in the statistical characteristics of side peaks of various types of complex signals depending on the length of pseudo-random sequences and radiation modes. The developed methodology for calculating the two-dimensional correlation function of complex signals made it possible to identify the relationship between the values of the side peaks of the correlation functions of pseudo-random sequences used in their formation and the peaks of the modules of their two-dimensional correlation function. This approach allows, without a detailed calculation of the two-dimensional correlation functions themselves in various modes of emission of complex signals, to determine their statistical characteristics using the corresponding parameters of the distribution functions of the side peaks of the correlation functions. The two-dimensional correlation function of various complex signals was calculated and their statistical characteristics were studied.