New quaternary sequences with ideal autocorrelation constructed from binary sequences with ideal autocorrelation

Abstract

In this paper, a new generation method of quaternary sequences of period 2(2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> -1) with ideal autocorrelation and balance property is proposed using the binary sequences of period 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> - 1 with ideal autocorrelation and reverse Gray mapping. The autocorrelation distribution of the proposed quaternary sequences is also derived.