Correlation Functions of Perfect Binary Sequences of Same Lengths

Zepeng Zhuo, Jinfeng Chong, Lei Yu, Zhiyao Yang · Wuhan University Journal of Natural Sciences · 2019

The sequences with good correlation properties are widely used in engineering applications, especially in the area of communications. In this paper, the relationships among cross-correlation functions of arbitrary four binary sequences of period N are presented. Based on them, for a sequences set, the relationships between cross-correlation functions and autocorrelation functions are studied, by which we prove that they cannot keep optimal at the same time.

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