Synthesis filter bank optimization with lattice structure constraints in 2D separable image processing

Li Chai; Yuxia Sheng; Jingxin Zhang

doi:10.1109/ICASSP.2011.5947323

Synthesis filter bank optimization with lattice structure constraints in 2D separable image processing

Li Chai, Yuxia Sheng, Jingxin Zhang

Electrical and Computer Systems Engineering

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

1 Citation (Scopus)

Abstract

In one-dimensional signal processing, the perfect reconstruction (PR) synthesis FB is not unique for a given analysis LP oversampled filter bank (FB). Optimal Design methods have been developed to choose the optimal noise reduction linear phase (LP) synthesis FB. This paper deals with the optimal design of LP synthesis FBs for separable 2D image processing. With the same analysis LP oversampled FB for row and column processing separately, we show that the optimal synthesis FBs for row and column processing are generally not the same. A design method is developed when the spectrum of the subband noises is known. Numerical examples are given to demonstrate 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
Editors	Jonathon A. Chambers
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	4376-4379
Number of pages	4
ISBN (Electronic)	9781457705397, 9781457705373
ISBN (Print)	9781457705380
DOIs	https://doi.org/10.1109/ICASSP.2011.5947323
Publication status	Published - 2011
Event	IEEE International Conference on Acoustics, Speech and Signal Processing 2011 - Prague Congress Center, Praque, Czech Republic 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	Czech Republic
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
lattice structure
Linear phase
perfect reconstruction

Access to Document

10.1109/ICASSP.2011.5947323

Link to publication in Scopus

Cite this

Chai, L., Sheng, Y., & Zhang, J. (2011). Synthesis filter bank optimization with lattice structure constraints in 2D separable image processing. In J. A. Chambers (Ed.), 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing: May 22–27, 2011, Prague, Czech Republic, Proceedings (pp. 4376-4379). [5947323] IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICASSP.2011.5947323

Chai, Li ; Sheng, Yuxia ; Zhang, Jingxin. / Synthesis filter bank optimization with lattice structure constraints in 2D separable image processing. 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing: May 22–27, 2011, Prague, Czech Republic, Proceedings. editor / Jonathon A. Chambers. Piscataway, NJ, USA : IEEE, Institute of Electrical and Electronics Engineers, 2011. pp. 4376-4379

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abstract = "In one-dimensional signal processing, the perfect reconstruction (PR) synthesis FB is not unique for a given analysis LP oversampled filter bank (FB). Optimal Design methods have been developed to choose the optimal noise reduction linear phase (LP) synthesis FB. This paper deals with the optimal design of LP synthesis FBs for separable 2D image processing. With the same analysis LP oversampled FB for row and column processing separately, we show that the optimal synthesis FBs for row and column processing are generally not the same. A design method is developed when the spectrum of the subband noises is known. Numerical examples are given to demonstrate the effectiveness of our results.",

keywords = "filter banks, lattice structure, Linear phase, perfect reconstruction",

author = "Li Chai and Yuxia Sheng and Jingxin Zhang",

year = "2011",

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publisher = "IEEE, Institute of Electrical and Electronics Engineers",

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, Sheng, Y & Zhang, J 2011, Synthesis filter bank optimization with lattice structure constraints in 2D separable image processing. in JA Chambers (ed.), 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing: May 22–27, 2011, Prague, Czech Republic, Proceedings., 5947323, IEEE, Institute of Electrical and Electronics Engineers, Piscataway, NJ, USA, pp. 4376-4379, IEEE International Conference on Acoustics, Speech and Signal Processing 2011, Praque, Czech Republic, 22/05/11. https://doi.org/10.1109/ICASSP.2011.5947323

Synthesis filter bank optimization with lattice structure constraints in 2D separable image processing. / Chai, Li; Sheng, Yuxia; Zhang, Jingxin.

2011 IEEE International Conference on Acoustics, Speech, and Signal Processing: May 22–27, 2011, Prague, Czech Republic, Proceedings. ed. / Jonathon A. Chambers. Piscataway, NJ, USA : IEEE, Institute of Electrical and Electronics Engineers, 2011. p. 4376-4379 5947323.

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

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AB - In one-dimensional signal processing, the perfect reconstruction (PR) synthesis FB is not unique for a given analysis LP oversampled filter bank (FB). Optimal Design methods have been developed to choose the optimal noise reduction linear phase (LP) synthesis FB. This paper deals with the optimal design of LP synthesis FBs for separable 2D image processing. With the same analysis LP oversampled FB for row and column processing separately, we show that the optimal synthesis FBs for row and column processing are generally not the same. A design method is developed when the spectrum of the subband noises is known. Numerical examples are given to demonstrate the effectiveness of our results.

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Chai L, Sheng Y, Zhang J. Synthesis filter bank optimization with lattice structure constraints in 2D separable image processing. In Chambers JA, editor, 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. 4376-4379. 5947323 https://doi.org/10.1109/ICASSP.2011.5947323