Generalized Extended Welch Bound for Multi-Cell Non-Orthogonal Sequence Sets

IF 3.7 3区计算机科学 Q2 TELECOMMUNICATIONS

IEEE Communications Letters Pub Date : 2025-04-01 DOI:10.1109/LCOMM.2025.3555222

Bingsheng Shen;Kaiqiang Liu;Zhi Gu;Yang Yang;Zhengchun Zhou

引用次数: 0

Abstract

Sequence sets with minimum total squared correlation (TSC) have important application in communications. In a multi-cell system, due to the difference in channel strength between the home cell and the neighboring cells, the TSC can be expressed as the sum of squares of weighted correlations among sequences. In this letter, we obtain a closed-form expression for the lower bound of weighted TSC under multi-cell systems which can be regarded as a generalization of the extended Welch bound, namely generalized extended welch bound (GEWB). Moreover, we find a class of sequence sets whose parameters can achieve the theoretical lower bound of the weighted TSC, indicating that the derived GEWB is tight.

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多单元非正交序列集的广义扩展Welch界

具有最小总平方相关（TSC）的序列集在通信中有着重要的应用。在多小区系统中，由于本小区和相邻小区信道强度的差异，TSC可以表示为序列间加权相关的平方和。在这篇文章中，我们得到了多单元系统下加权TSC下界的一个封闭表达式，它可以看作是扩展Welch界的推广，即广义扩展Welch界（generalized extended Welch界，GEWB）。此外，我们还找到了一类参数能够达到加权TSC理论下界的序列集，表明推导出的GEWB是严密的。

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

IEEE Communications Letters 工程技术-电信学

CiteScore

8.10

自引率

7.30%

发文量

590

审稿时长

2.8 months

期刊介绍： The IEEE Communications Letters publishes short papers in a rapid publication cycle on advances in the state-of-the-art of communication over different media and channels including wire, underground, waveguide, optical fiber, and storage channels. Both theoretical contributions (including new techniques, concepts, and analyses) and practical contributions (including system experiments and prototypes, and new applications) are encouraged. This journal focuses on the physical layer and the link layer of communication systems.