Strict Optimal Rational Approximants of Multisequences

doi:10.1109/TIT.2010.2040940

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	Strict Optimal Rational Approximants of Multisequences
	Wan, Zhe-Xian; Zhou, Kai
	2010-04-01
发表期刊	IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN	0018-9448
卷号	56 期号:4 页码:1719-1728
摘要	The synthesis problem of multisequences of elements of a field F is studied. A new way of approximation by rational functions to multisequences is introduced. Different from the usual approach by optimal rational approximant profile, in the proposed strict optimal rational approximant of a multisequence, the components of the optimal rational approximant are not required to have the same denominator. An algorithm to obtain a strict optimal rational approximant profile is established. The relation between optimal rational approximant and strict optimal rational approximant is studied.
关键词	Formal power series (FPS) generating function liner complexity minimal polynomial optimal rational approximant
DOI	10.1109/TIT.2010.2040940
语种	英语
资助项目	National Natural Science Foundation of China[6532100] ; Major State Basic Research Development Program of China[2004CB318000]
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Information Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000275999500021
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9734
专题	系统科学研究所
通讯作者	Wan, Zhe-Xian
作者单位	Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wan, Zhe-Xian,Zhou, Kai. Strict Optimal Rational Approximants of Multisequences[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2010,56(4):1719-1728.
APA	Wan, Zhe-Xian,&Zhou, Kai.(2010).Strict Optimal Rational Approximants of Multisequences.IEEE TRANSACTIONS ON INFORMATION THEORY,56(4),1719-1728.
MLA	Wan, Zhe-Xian,et al."Strict Optimal Rational Approximants of Multisequences".IEEE TRANSACTIONS ON INFORMATION THEORY 56.4(2010):1719-1728.