Correlation Functions of Perfect Binary Sequences of Same Lengths

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Date: June 2019
Publisher: Springer
Document Type: Report
Length: 178 words

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Byline: Zepeng Zhuo (1), Jinfeng Chong (1,2), Lei Yu (3), Zhiyao Yang (1) Keywords: binary sequence; perfect sequence; cross-correlation function; autocorrelation function; TN 914. 5 Abstract: 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. Author Affiliation: (1) grid.440755.7, School of Mathematical Science, Huaibei Normal University, Huaibei, Anhui, 235000, China (2) grid.440755.7, Information College, Huaibei Normal University, Huaibei, Anhui, 235000, China (3) grid.440755.7, School of Computer Science and Technology, Huaibei Normal University, Huaibei, Anhui, 235000, China Article History: Registration Date: 13/05/2019 Received Date: 21/09/2018 Online Date: 14/05/2019 Article note: Foundation item: Supported by the Natural Science Foundation of Anhui (1608085MF143), the National Natural Science Foundation of China(60573026, 10101008), and the Natural Science Foundation of Anhui Higher Education Institutions of China (KJ2018A0678)

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Gale Document Number: GALE|A585460343