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arXiv 2002.06376cs.ITmath.IT
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由广义Bent函数导出的渐近最优码本

Asymptotically optimal codebooks derived from generalised bent functions

Qiuyan Wang, Yang Yan, Chenhuang Wu, Chun'e Zhao

摘要:

在直接扩频码分多址通信、空时编码、压缩感知等实际应用中,要求码本具有较小的内积相关性。通常,构造最优码本是困难的。本文提出了两种码本,并证明了它们在Welch界下是最优的。此外,本文构造的码本具有新的参数。

英文摘要:

Codebooks are required to have small inner-product correlation in many practical applications, such as direct spread code division multiple access communications, space-time codes and compressed sensing. In general, it is difficult to construct optimal codebooks. In this paper, two kinds of codebooks are presented and proved to optimally optimal with respect to the welch bound. Additionally, the constructed codebooks in this paper have new parameters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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