Optimal Design of FIR Triplet Halfband Filter Bank and Application in Image Coding

This correspondence proposes an efficient semidefinite programming (SDP) method for the design of a class of linear phase finite impulse response triplet halfband filter banks whose filters have optimal frequency selectivity for a prescribed regularity order. The design problem is formulated as the...

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Veröffentlicht in:IEEE transactions on image processing Jg. 20; H. 2; S. 586 - 591
Hauptverfasser: Kha, H H, Tuan, H D, Nguyen, T Q
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York, NY IEEE 01.02.2011
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Applied sciences
Design methodology
Detection, estimation, filtering, equalization, prediction
Errors
Exact sciences and technology
Filter bank
Filter banks
Finite impulse response filter
Frequency
Image coding
Image processing
Image reconstruction
Impulse response
Information, signal and communications theory
Least squares method
Least squares methods
Linear programming
Mathematical analysis
Nonlinear filters
Optimization
perfect reconstruction
Polynomials
Regularity
semi definite programming (SDP)
Signal and communications theory
Signal processing
Signal, noise
Telecommunications and information theory
triplet halfband filter bank
Performance evaluation
Image processing
perfect reconstruction
Linear phase
Programming
regularity
Optimal design
semi-definite programming (SDP)
Image coding
Digital filter
Frequency selection
Least squares method
Linear matrix inequality
Finite impulse response filter
Filter bank
triplet halfband filter bank
ISSN:1057-7149, 1941-0042, 1941-0042
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Beschreibung
Zusammenfassung:This correspondence proposes an efficient semidefinite programming (SDP) method for the design of a class of linear phase finite impulse response triplet halfband filter banks whose filters have optimal frequency selectivity for a prescribed regularity order. The design problem is formulated as the minimization of the least square error subject to peak error constraints and regularity constraints. By using the linear matrix inequality characterization of the trigonometric semi-infinite constraints, it can then be exactly cast as a SDP problem with a small number of variables and, hence, can be solved efficiently. Several design examples of the triplet halfband filter bank are provided for illustration and comparison with previous works. Finally, the image coding performance of the filter bank is presented.
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ISSN:1057-7149
1941-0042
1941-0042
DOI:10.1109/TIP.2010.2059450