政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/111612

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 110944/141864 (78%)
Visitors : 47923983 Online Users : 983

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/111612

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/111612

Title:	More constructions of near optimal codebooks associated with binary sequences
Authors:	Chou, Wun-Seng 周文賢 Zhang, Xiyong Cao, Xiwang
Contributors:	應用數學系
Keywords:	Codebook;Fourier matrix;Hadamard matrix;Welch bound;character sum
Date:	2017-02
Issue Date:	2017-08-02 16:11:52 (UTC+8)
Abstract:	An (N, K) codebook C is a collection of unit norm vectors in a K-dimensional vectors space. In applications of codebooks such as CDMA, those vectors in a codebook should have a small maximum magnitude of inner products, denoted by Imax(C), between any pair of distinct code vectors. Since the famous Welch bound is a lower bound on Imax(C), it is desired to construct codebooks meeting the Welch bound strictly or asymptotically. Recently, N. Y. Yu presents a method for constructing codebooks associated with a binary sequence from a Φ-transform matrix. Using this method, he discovers new classes of codebooks with nontrivial bounds on the maximum inner products from Fourier and Hadamard matrices. We construct more near optimal codebooks by Yu’s idea. We first provide more choices of binary sequences. We also show more choices of the Φ-transform matrices. Therefore, we can present more codebooks C with nontrivial bounds on their Imax(C). Our work can serve as a complement of Yu’s work. © 2017 AIMS.
Relation:	Advances in Mathematics of Communications, 11(1), 187-202
Data Type:	article
DOI 連結:	http://dx.doi.org/10.3934/amc.2017012
DOI:	10.3934/amc.2017012
Appears in Collections:	[應用數學系] 期刊論文

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML2	745	View/Open

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

Loading...