Optimum Sets of Interference-Free Sequences With Zero Autocorrelation Zones

Abstract

A general construction of a particular class of zero correlation zone sequences is proposed. The general construction produces the sets of so-called interference-free zero autocorrelation zone (IF-ZAZ) sequences, where any two sequences from a set have all-zero periodic cross correlation, while each sequence has periodic autocorrelation equal to zero in multiple zones of non-zero delays. The length D of each such ZAZ has the maximum possible value $D=t-1$ for given sequence length $N = tm$ and for the given number of sequences in the set $M = m$ . As an important special case of the general construction, we present the construction of generalized chirp-like IF-ZAZ sequences that allow particularly simple implementation of the corresponding banks of matched filters.