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Constructions of Binary Sequences with Almost Optimal Autocorrelation Magnitude |
Zhang Xuan① Wen Qiao-yan② Qin Jing③ |
①(School of Statistic and Mathematics, Shandong University of Finance, Jinan 250014, China)
②(State key laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China)
③(School of Mathematics, Shandong University, Jinan 250100, China) |
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Abstract In this paper, five constructions of binary sequences with almost optimal autocorrelation magnitude are proposed. The first construction is to use an arbitrary ideal 2-level autocorrelation sequence. The other four constructions are based on some sequences and their modified versions. 2N×2 interleaved sequences are used to get the sequences whose values of the autocorrelations are optimal except one points. And the distributions of the periodic autocorrelation functions of the resultant sequences are given. The results provide more choices for CDMA system and other applications.
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Received: 28 February 2011
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Corresponding Authors:
Zhang Xuan
E-mail: zhxx100@163.com
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