Z-complementary sets based on sequences with periodic and aperiodic zero correlation zone

Authors:
Zhenyu Zhang;Wei Chen;Fanxin Zeng;Hua Wu;Yuanhong Zhong
Affiliations:
College of Communication Engineering, Chongqing University, District of Shapingba, Chongqing, China and Department of Information Engineering, Chongqing Communication Institute, District of Shapin ...;College of Communication Engineering, Chongqing University, District of Shapingba, Chongqing, China;Department of Information Engineering, Chongqing Communication Institute, District of Shapingba, Chongqing, China;College of Communication Engineering, Chongqing University, District of Shapingba, Chongqing, China;College of Communication Engineering, Chongqing University, District of Shapingba, Chongqing, China
Venue:
EURASIP Journal on Wireless Communications and Networking
Year:
2009

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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.