On the aperiodic hamming correlation of frequency-hopping sequences from norm functions

Authors:
Zhengchun Zhou;Xiaohu Tang;Yang Yang;Udaya Parampalli
Affiliations:
School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, PRC,Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, Sichuan, PRC;Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, Sichuan, PRC;Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, Sichuan, PRC;Department of Computer Science and Software Engineering, University of Melbourne, VIC, Australia
Venue:
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
Year:
2012

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Abstract

Frequency-hopping sequences (FHSs) are needed in frequency hopping code-division multiple-access (FH-CDMA) systems. Aperiodic Hamming correlation of FHSs matters in real applications, while it received little attraction in the literature compared with periodic Hamming correlation. In this paper, we study the aperiodic Hamming correlation of a family of FHSs via norm functions by Ding, Moisio and Yuan (IEEE Trans Inform Theory 53: 2606-2610, 2007). Bounds on their aperiodic Hamming correlation are established based on the calculation and estimation of some exponential sums over finite fields.