A class of nearly optimal codebooks and their applications in strongly regular Cayley graphs

Autor: Qiuyan Wang, Weixin Liu, Jianming Wang, Yang Yan
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 7, Pp 18236-18246 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024890?viewType=HTML
Popis: Codebooks with small inner-product correlations are desirable in many fields, including compressed sensing, direct spread code division multiple access (CDMA) systems, and space-time codes. The objective of this paper is to present a class of codebooks and explore their applications in strongly regular Cayley graphs. The obtained codebooks are nearly optimal in the sense that their maximum cross-correlation amplitude nearly meets the Welch bound. As far as we know, this construction of codebooks provides new parameters.
Databáze: Directory of Open Access Journals