A Novel Construction of Optimal Cross Z-Complementary Sets Based on Generalized Boolean Functions
- Resource Type
- Conference
- Authors
- Huang, Zhen-Ming; Pai, Cheng-Yu; Chen, Chao-Yu
- Source
- 2022 IEEE International Symposium on Information Theory (ISIT) Information Theory (ISIT), 2022 IEEE International Symposium on. :1725-1730 Jun, 2022
- Subject
- Communication, Networking and Broadcast Technologies
Training
GSM
Boolean functions
Frequency modulation
Simulation
Channel estimation
Frequency estimation
- Language
- ISSN
- 2157-8117
The cross Z-complementary pair (CZCP) has been employed for training design in spatial modulation (SM). Due to its specific zero correlation zone (ZCZ) for autocorrelation and cross-correlation sums, optimal channel estimation performance in SM over frequency-selective channels can be achieved. However, a disadvantage of the CZCP is that its ZCZ width is theoretically limited by the half sequence length. In this paper, we consider the cross Z-complementary sets (CZCSs) to aim for large ZCZ widths which can be used in SM to combat larger delay spread. A novel construction of CZCSs based on generalized Boolean functions is presented in this paper. The proposed construction leads to the so-called optimal CZCSs with the maximum ZCZ width. The simulation results demonstrate that the proposed CZCS-based training sequences can tolerate larger delay spreads to improve the channel estimation performance in SM.