序列的可伸缩完全互补集

Xiaojing Huang, Yunxin Li
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引用次数: 29

摘要

本文给出了一类具有闭形式表达式的序列的完全互补集。首先,通过引入Golay(1961)-配对矩阵的概念并给出其合成算法,推导出一个正交Golay-配对矩阵,称为Golay-配对Hadamard矩阵。然后,给出了构造相互正交的golay配对矩阵的一般方法。最后,生成了由golay配对Hadamard矩阵表示的序列的完全互补集,并说明了它们的可扩展性。这种新的可扩展的完全互补序列集的独特特性使其成为未来先进信号处理和通信系统应用的理想候选者。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Scalable complete complementary sets of sequences
A family of complete complementary sets of sequences with closed-form expression is presented in this paper. Firstly, by introducing the notion of Golay (1961)-paired matrix and providing its synthesis algorithms, an orthogonal Golay-paired matrix called Golay-paired Hadamard matrix is derived. Then, general procedures for constructing mutually orthogonal Golay-paired matrices are proposed. Finally, the complete complementary sets of sequences represented by Golay-paired Hadamard matrices are generated and their scalability is illustrated. The unique properties of this new family of scalable complete complementary sets of sequences make it an ideal candidate for applications in future advanced signal processing and communications systems.
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