Construction of Cross Z-Complementary Sequence Set with Large CZC Ratio

EasyChair Preprint no. 13790

Abstract

Cross Z-complementary pairs/sequences (CZCPs/CZCSs) are widely used for training sequences in spatial modulation (SM) systems and can achieve superior channel estimation performance in frequency-selective channels, whose aperiodic correlation sums appear as zero correlation zones at both the front-end and backend offsets of the sequences. Nevertheless, the ZCZ length of the binary CZCP is restricted to half of its length, while the CZCS can result in a larger increase in ZCZ length, and is suitable for SM systems against larger delay expansion. This paper proposes a class of optimal CZCS sets (CZCSSs) with flexible ZCZ length by employing CZCPs and Hadamard products. To improve the parameters of CZCPs, two novel classes of CZCPs are introduced through concatenation construction. The construction results yield new parameters and expand the pool of training sequences available for SM systems.

Keyphrases: Cross Z-complementary pairs, cross Z-complementary sequence sets, Hadamard product

@Booklet{EasyChair:13790,
  author = {Kai Liu and Qing Hai Xu and Xin Meng},
  title = {Construction of Cross Z-Complementary Sequence Set with Large CZC Ratio},
  howpublished = {EasyChair Preprint no. 13790},

  year = {EasyChair, 2024}}