A new family of low correlation zone sequences in QS-CDMA communication systems

Abstract

The paper addresses the problem of constructing signature sequences for quasi-synchronous CDMA systems. We employ two ℓ - ary sequences, i.e. ℓ symbols sequences, with ideal two-level autocorrelation and a Costas or Golomn Costas sequence to construct a signal set with long Low Correlation Zone length and low maximum magnitude of correlation values. We obtain an Low Correlation Zone (Np, p, p, N) signal set and an Low Autocorrelation Zone (Np, p, p, N) signal set, where N is a positive integer and p is a prime number. We also get an LCZ (p^m(p^m - 1), p^m, p^m - 1, p^m) signal set and an LACZ (p^m(p^m - 1), p^m, p^m - 1, 1) signal set, where m is a positive integer.