Z-Complementary Sets Based on Sequences with Periodic and Aperiodic Zero Correlation Zone

Zhenyu Zhang,Fanxin Zeng,Wei Chen,Yuanhong Zhong,Hua Wu

doi:10.1155/2009/418026

Zhenyu Zhang, Fanxin Zeng + Show 3 more

Open Access

https://doi.org/10.1155/2009/418026

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Abstract

Methods of constructing Z-complementary sequence sets are described. Different from those constructions using complementary sequences as a kernel, the proposed constructions are based on sequences with periodic and aperiodic zero-correlation zone (PAZCZ). These PAZCZ sequences are unitary sequences, not complementary sequences. By means of interleaving iteration and orthogonal matrix expansion of PAZCZ sequences, desirable bivalued zero cross-correlation zone (ZCCZ) characteristics can be obtained. Compared with Z-complementary sequence sets with single value ZCCZ which is generally equal to the length of an element sequence, the proposed Z-complementary sequence sets with bivalued ZCCZ have larger set size and then can support more users.

Highlights

Complementary sequences, first studied by Golay [1], have many useful properties for radar applications and spread-spectrum communications
Different from unitary sequences which work on a one-sequence-per-user basis, complementary sequences work on a one-flock-per-user basis [2]
It was shown in [3, 4] that orthogonal complementary (OC) sequences with ideal autocorrelation function (ACF) and cross-correlation function (CCF) can improve spectrum efficiency and bit error rate (BER) performance of code division multiple access (CDMA) systems

Summary

Introduction

Complementary sequences, first studied by Golay [1], have many useful properties for radar applications and spread-spectrum communications. The idea of dividing a sequence set into multiple groups and obtaining bivalued ZCCZ first appears in [17] as mutually orthogonal sets of ZCZ sequences. As an extension for Z-complementary sequences with single value ZCCZ in [15], the presented Z-complementary sequences have a bivalued ZCCZ like IGC sequences and can come up to the maximal set size as long as the kernel of PAZCZ sequences comes up to the maximal set size in terms of the theoretical bound on ZCZ sequences in [20].

Preliminary Considerations

Sequence Construction Based on Orthogonal Matrix Expansion

Sequence Construction Based on Interleaving Iteration

Correlation Properties of the Constructed Set

Applications

Conclusions