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Improvement of the lower bound of the PCM quantization error for vectors in R-2

文献类型：期刊论文

作者Zhou, Heng1; Xu, Zhiqiang2
刊名JOURNAL OF APPROXIMATION THEORY
出版日期2017-03-01
卷号215页码:1-12
关键词Unit-norm tight frames PCM quantization error Bessel functions
ISSN号0021-9045
DOI10.1016/j.jat.2016.11.004
英文摘要Using an asymptotic estimate of the Bessel functions, we investigate the performance of the PCM quantization for vectors in R-2 and improve the previous results of Wang and Xu (2012). In particular, we present a lower bound of the PCM quantization error under some mild condition and show that PCM quantization can take the advantage of the redundancy of frames for infinitely many x is an element of R-2 with different magnitudes. (C) 2016 Elsevier Inc. All rights reserved.
资助项目NSFC[61602341] ; NSFC[11422113] ; NSFC[11331012] ; NSFC[91630203] ; National Basic Research Program of China (973 Program)[2015CB856000]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000394191900001
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/25097]  
专题计算数学与科学工程计算研究所
通讯作者Zhou, Heng
作者单位1.Tianjin Polytech Univ, Sch Sci, Tianjin 300160, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Zhou, Heng,Xu, Zhiqiang. Improvement of the lower bound of the PCM quantization error for vectors in R-2[J]. JOURNAL OF APPROXIMATION THEORY,2017,215:1-12.
APA Zhou, Heng,&Xu, Zhiqiang.(2017).Improvement of the lower bound of the PCM quantization error for vectors in R-2.JOURNAL OF APPROXIMATION THEORY,215,1-12.
MLA Zhou, Heng,et al."Improvement of the lower bound of the PCM quantization error for vectors in R-2".JOURNAL OF APPROXIMATION THEORY 215(2017):1-12.

入库方式： OAI收割

来源：数学与系统科学研究院

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