Design of low correlation zone sequence sets of period kN

Authors:
Jin-Ho Chung;Kyeongcheol Yang
Affiliations:
Department of Electronics and Electrical Engineering, Pohang University of Science and Technology, Pohang, Kyungbuk, Korea;Department of Electronics and Electrical Engineering, Pohang University of Science and Technology, Pohang, Kyungbuk, Korea
Venue:
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
Year:
2009

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Abstract

In this paper we present a method to construct low correlation zone (LCZ) sequence sets of period kN for some integers k and N which are relatively prime. We construct kN- periodic LCZ sequences by combining an N-periodic sequence having good autocorrelation with a k × k Hadamard matrix. We also give some examples of our construction, which are optimal or nearly optimal with respect to the Tang-Fan-Matsufuji bound. Our construction gives flexible parameters in the sense of period and LCZ size.