|Cross Z-Complementary Pairs (CZCPs) for Optimal Training in Broadband Spatial Modulation Systems
|Zilong Liu, University of Essex, United Kingdom; Ping Yang, University of Electronic Science and Technology of China, China; Yong Liang Guan, Nanyang Technological University, Singapore; Pei Xiao, University of Surrey, United Kingdom
|Topics in Information Theory
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|Spatial modulation (SM) is a new multiple-input multiple-output (MIMO) paradigm in which only one transmit antenna is activated over every symbol duration. So far, efficient SM training sequences (different from the existing design for conventional MIMO systems) remain largely open. Motivated by this research problem, we introduce a novel class of sequence pairs, called “cross Z-complementary pairs (CZCPs)", each displaying zero-correlation zone (ZCZ) properties for both their aperiodic autocorrelation sums and crosscorrelation sums. A CZCP may be transmitted in two non-orthogonal SM channels and hence proper design should be conducted to minimize the cross-interference of the two constituent sequences. We construct perfect CZCPs based on selected Golay complementary pairs. We show that the training sequences derived from our proposed CZCPs lead to optimal channel estimation performance over frequency-selective SM channels.