NDLI: A recursive algorithm approximating frame coefficients related to Riesz bases of translates

Content Provider	IEEE Xplore Digital Library
Author	Tiebin Mi Chaohuan Hou Xiaochuan Ma Long Cai
Copyright Year	2009
Description	Author affiliation: Graduate University, Institute of Acoustics, Chinese Academy of Sciences, Beisihuan West Road 21, Beijing, China (Tiebin Mi; Long Cai) \|\| Institute of Acoustics, Chinese Academy of Sciences, Beisihuan West Road 21, Beijing, China (Chaohuan Hou; Xiaochuan Ma)
Abstract	In this paper we show that frame coefficients related to Riesz bases of integer-translates are solutions of bi-infinite invertible Toeplitz systems. Hence the corresponding frame coefficients may be obtained by solving Toeplitz system directly, without complicated calculation of the inverse frame operator. We apply the finite section method to Toeplitz operator and provide a bi-directional Levinson algorithm to approximate solutions of biinfinite Toeplitz system, whose convergence is guaranteed by the recursive nature and properties of finite section method. Other advantages of the algorithm are the modest computational cost and less storage requirement.
Starting Page	1
Ending Page	4
File Size	74578
Page Count	4
File Format	PDF
ISBN	9781424446568
DOI	10.1109/ICICS.2009.5397477
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-08
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Hilbert space Equations Acoustics Bidirectional control Computational efficiency Chaos
Content Type	Text
Resource Type	Article

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