An Efficient SDP Based Design for Prototype Filters of M-Channel Cosine-Modulated Filter Banks

The paper presents an efficient semidefinite programming (SDP) based design for prototype filters of cosine-modulated filter banks (CMFBs). We consider a class of near-perfect reconstruction CMFBs with the linear phase prototype filter, which structurally eliminates the amplitude overall distortion....

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Bibliographic Details
Main Authors: Kha, H.H., Tuan, H.D., Nguyen, T.Q.
Format: Conference Proceeding
Language:English
Subjects:
Attenuation
Band pass filters
cosine-modulated filter bank
Filter bank
Image reconstruction
Linear matrix inequalities
linear matrix inequality
Nonlinear distortion
Nonlinear filters
Polynomials
Prototypes
semidefinite programming
Symmetric matrices
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Summary:The paper presents an efficient semidefinite programming (SDP) based design for prototype filters of cosine-modulated filter banks (CMFBs). We consider a class of near-perfect reconstruction CMFBs with the linear phase prototype filter, which structurally eliminates the amplitude overall distortion. The prototype filter design problem is then formulated into a convex semi-infinite programming problem. Furthermore, to handle the semi-infinite constraints, we use the linear matrix inequality (LMI) characterization of positive trigonometric polynomials to cast the semi-infinite programming problem into SDP one. Finally, convex duality is applied to transform the SDP into another SDP with the minimal number of additional variables, which is efficiently solved. An additional advantage of the proposed method is that we can precisely control the filter specifications.
ISSN:1520-6149
2379-190X
DOI:10.1109/ICASSP.2007.366824