Odd perfect sequences and sets of spreading sequences with zero or low odd periodic correlation zone

Authors:
Yang Yang;Guang Gong;Xiaohu Tang
Affiliations:
Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, Sichuan, PRC,Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, Canada;Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, Canada;Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, Sichuan, PRC
Venue:
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
Year:
2012

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Abstract

In this paper, we apply shift sequences defined by difference balanced function with d-form property to construct (almost) perfect or odd perfect sequences, which is a generalization of the construction given by Krengel in 2004. We then propose new signal sets with flexible parameters and zero odd periodic correlation zone or low odd periodic correlation zone property, by interleaving an odd perfect sequence or a sequence with low odd periodic correlation. Furthermore, we show that the parameters of some constructed signal sets are optimal with respect to the odd periodic correlation bound.