Asymptotically optimal aperiodic quasi-complementary sequence sets based on extended Boolean functions

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-28 DOI:10.1007/s10623-024-01501-y

Bingsheng Shen, Tao Yu, Zhengchun Zhou, Yang Yang

引用次数: 0

Abstract

Quasi-complementary sequence sets (QCSSs) are important in modern communication systems as they are capable of supporting more users, which is desired in applications like MC-CDMA nowadays. Although several constructions of aperiodic QCSSs have been proposed in the literature, the known optimal aperiodic QCSSs have limited length or have large alphabet. In this paper, based on extended Boolean functions, we present two constructions of aperiodic QCSSs with parameters \((q(p_0-1),q,q-t,q)\) and \((q^m(p_0-1),q^m,q^m-t,q^m)\), where \(q\ge 3\) is an odd integer, \(p_0\) is the minimum prime factor of q. The proposed constructions can generate asymptotically optimal or near-optimal aperiodic QCSSs with new parameters.

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基于扩展布尔函数的渐近最优非周期性准互补序列集

准互补序列集（QCSS）在现代通信系统中非常重要，因为它们能够支持更多用户，这正是如今 MC-CDMA 等应用所需要的。虽然文献中提出了几种非周期性 QCSS 的构造，但已知的最优非周期性 QCSS 长度有限或字母表较大。本文基于扩展布尔函数，提出了参数为（(q(p_0-1),q,q-t,q)）和（(q^m(p_0-1),q^m,q^m-t,q^m)）的两种非周期性 QCSS 结构，其中（q^m(p_0-1),q^m,q^m-t,q^m)）为奇整数，（p_0）为 q 的最小质因子。所提出的构造可以生成具有新参数的渐近最优或接近最优的非周期性 QCSS。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.