Bound-ratio minimization of filter bank frames by periodic precoding

Li Chai; Jingxin Zhang

doi:10.1109/ICASSP.2011.5947324

Bound-ratio minimization of filter bank frames by periodic precoding

Li Chai, Jingxin Zhang

Electrical and Computer Systems Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

Abstract

Frame (upper and lower) bound ratio is a key factor of numerical stability of frame systems. While tight frames, of which the minimal ratio 1 is achieved, are much preferred in many practical situations, they may not be easily (even impossible) designed due to other criteria (for example, good subband frequency shape). In these situations, we may find alternative methods for improving the frame-bound-ratio. This paper studies the minimization of frame-bound-ratio for filter bank frames by using periodic precoding. A convex optimization based algorithm is proposed. Examples show the effectiveness of our results.

Original language	English
Title of host publication	2011 IEEE International Conference on Acoustics, Speech, and Signal Processing
Subtitle of host publication	May 22–27, 2011, Prague, Czech Republic, Proceedings
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	4380-4383
Number of pages	4
ISBN (Electronic)	9781457705397, 9781457705373
ISBN (Print)	9781457705380
DOIs	https://doi.org/10.1109/ICASSP.2011.5947324
Publication status	Published - 2011
Event	IEEE International Conference on Acoustics, Speech and Signal Processing 2011 - Prague Congress Center, Praque, Czechia Duration: 22 May 2011 → 27 May 2011 http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=5916934 (Conference Proceedings)

Conference

Conference	IEEE International Conference on Acoustics, Speech and Signal Processing 2011
Abbreviated title	ICASSP 2011
Country/Territory	Czechia
City	Praque
Period	22/05/11 → 27/05/11
Internet address	http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=5916934 (Conference Proceedings)

Keywords

Filter banks
frame bounds
perfect reconstruction
precoding

Access to Document

10.1109/ICASSP.2011.5947324

Cite this

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abstract = "Frame (upper and lower) bound ratio is a key factor of numerical stability of frame systems. While tight frames, of which the minimal ratio 1 is achieved, are much preferred in many practical situations, they may not be easily (even impossible) designed due to other criteria (for example, good subband frequency shape). In these situations, we may find alternative methods for improving the frame-bound-ratio. This paper studies the minimization of frame-bound-ratio for filter bank frames by using periodic precoding. A convex optimization based algorithm is proposed. Examples show the effectiveness of our results.",

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author = "Li Chai and Jingxin Zhang",

year = "2011",

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pages = "4380--4383",

booktitle = "2011 IEEE International Conference on Acoustics, Speech, and Signal Processing",

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address = "United States of America",

note = "IEEE International Conference on Acoustics, Speech and Signal Processing 2011, ICASSP 2011 ; Conference date: 22-05-2011 Through 27-05-2011",

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Chai, L & Zhang, J 2011, Bound-ratio minimization of filter bank frames by periodic precoding. in 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing : May 22–27, 2011, Prague, Czech Republic, Proceedings. IEEE, Institute of Electrical and Electronics Engineers, Piscataway, NJ, USA, pp. 4380-4383, IEEE International Conference on Acoustics, Speech and Signal Processing 2011, Praque, Czechia, 22/05/11. https://doi.org/10.1109/ICASSP.2011.5947324

Bound-ratio minimization of filter bank frames by periodic precoding. / Chai, Li; Zhang, Jingxin.
2011 IEEE International Conference on Acoustics, Speech, and Signal Processing : May 22–27, 2011, Prague, Czech Republic, Proceedings. Piscataway, NJ, USA: IEEE, Institute of Electrical and Electronics Engineers, 2011. p. 4380-4383.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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Bound-ratio minimization of filter bank frames by periodic precoding

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Conference

Keywords

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