Quaternary periodic complementary/Z-complementary sequence sets based on interleaving technique and Gray mapping

Pages: 237 - 247, Volume 6, Issue 2, May 2012

doi:10.3934/amc.2012.6.237       Abstract        References        Full Text (483.5K)       Related Articles

Fanxin Zeng - College of Communication Engineering, Chongqing University, Chongqing 400044, China, and Chongqing Key Laboratory of Emergency Communication, Chongqing Communication Institute, Chongqing 400035, China (email)
Xiaoping Zeng - College of Communication Engineering, Chongqing University, Chongqing 400044, China (email)
Zhenyu Zhang - Chongqing Key Laboratory of Emergency Communication, Chongqing Communication Institute, Chongqing 400035, China (email)
Guixin Xuan - Chongqing Key Laboratory of Emergency Communication, Chongqing Communication Institute, Chongqing 400035, China (email)

Abstract: A family of quaternary periodic complementary sequence (PCS) or Z-complementary sequence (PZCS) sets is presented. By combining an interleaving technique and the inverse Gray mapping, the proposed method transforms the known binary PCS/PZCS sets with odd length of sub-sequences into quaternary PCS/PZCS sets, but the length of new sub-sequences is twice as long as that of the original sub-sequences, which is a drawback of this proposed method. However, the shortcoming that the method proposed by J. W. Jang, et al. is merely fit for even length of sub-sequences is overcome. As a consequence, the union of our and J. W. Jang, et al.'s methods allows us to construct quaternary PCS/PZCS sets from binary PCS/PZCS sets with sub-sequences of arbitrary length.

Keywords:  Complementary sequence set, Z-complementary sequence seta, quaternary sequence, interleaving technique, odd period.
Mathematics Subject Classification:  Primary: 11B50, 94A55; Secondary: 11B75.

Received: June 2011;      Revised: January 2012;      Published: April 2012.

 References