Generation of binary pseudo-random sequences with quasi-perfect periodic and inverse periodic autocorrelations for radar systems

Abstract

A new method for generation of binary pseudorandom sequences (BPR-sequences) with quasi-perfect periodic and inverse periodic autocorrelation has been suggested for applications in radars. The method is based upon a modified discrete multi-dimensional chaotic map with two delays. Various BPR-sequences generated according to the method suggested has been analyzed using computer simulation. Spectrums of BPR-sequences periods generated with the help of suggested algorithm for the concrete values of delays have been found. Correlation characteristics of BPR-sequences generated have been studied and tested. It has been shown that for the appropriate choice of initial conditions and delays the suggested algorithm generates BPR-sequences having their correlation characteristics close enough tothose of M-sequences. In addition, it has been shown that BPR-sequences generated meet the requirements to the radar signals.