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A New Construction of Frequency-Hopping Sequences With Optimal Partial Hamming Correlation

2014; Institute of Electrical and Electronics Engineers; Volume: 60; Issue: 9 Linguagem: Inglês

10.1109/tit.2014.2332996

1557-9654

Han Cai, Zhengchun Zhou, Yang Yang, Xiaohu Tang,

graph theory and CDMA systems

Frequency-hopping sequences (FHSs) with favorable partial Hamming correlation properties have important applications in many synchronization and multiple-access systems. In this paper, lower bounds on the partial Hamming correlation of FHSs and FHS sets are proposed. They slightly improve the known bounds by Eun et al. and Zhou et al. A construction of FHSs and FHS sets having optimal partial Hamming correlation with respect to the improved bounds is also presented based on the theory of generalized cyclotomy. Our construction yields optimal FHSs and FHS sets with new and flexible parameters not covered in this paper.