曹喜望

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教授 博士生导师

招生学科专业:
数学 -- 【招收博士、硕士研究生】 -- 数学学院

性别:男

学历:北京大学

学位:理学博士学位

所在单位:理学院

联系方式:http://faculty.nuaa.edu.cn/cxw1/zh_CN/index.htm

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Two Constructions of Asymptotically Optimal Codebooks via the Hyper Eisenstein Sum

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所属单位:理学院

发表刊物:IEEE TRANSACTIONS ON INFORMATION THEORY

关键字:Codebook asymptotic optimality Welch bound hyper Eisenstein sum

摘要:Codebooks with low-coherence have wide utilization in many fields, such as direct spread code division multiple access communications, compressed sensing and so on. There are two major ingredients in this paper. The first is to present a new character sum, the hyper Eisenstein sum and study the properties of this character sum. As an application, the second ingredient is to propose two constructions of codebooks with the hyper Eisenstein sum. The codebooks generated by these constructions asymptotically meet the Welch bound. The parameters of these codebooks are new.

ISSN号:0018-9448

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发表时间:2018-10-01

合写作者:Luo, Gaojun

通讯作者:Luo, Gaojun,曹喜望