A new construction of asymptotically optimal codebooks

Codebooks with small cross-correlation amplitude have extensive applications in many fields including code division multiple access (CDMA) communications systems, space-time codes, and compressed sensing. In this paper, a class of asymptotically optimal codebooks was constructed, and the maximum inn...

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Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 4; pp. 9631 - 9640
Main Authors Yan, Yang, Chen, Hanning, Wang, Jianming, Wang, Gang
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
asymptotical optimality
characters
codebooks
finite fields
welch bound
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Summary:Codebooks with small cross-correlation amplitude have extensive applications in many fields including code division multiple access (CDMA) communications systems, space-time codes, and compressed sensing. In this paper, a class of asymptotically optimal codebooks was constructed, and the maximum inner-product of these presented codebooks was determined by using properties of character sums over finite fields. Furthermore, these codebooks provided new parameters.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024471