Efficient Design of Cosine-Modulated Filter Banks via Convex Optimization

This paper presents efficient approaches for designing cosine-modulated filter banks with linear phase prototype filter. First, we show that the design problem of the prototype filter being a spectral factor of 2 M th-band filter is a nonconvex optimization problem with low degree of nonconvexity. A...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on signal processing 2009-03, Vol.57 (3), p.966-976
Main Authors: Ha Hoang Kha, Hoang Duong Tuan, Nguyen, T.Q.
Format: Article
Language:English
Subjects:
Algorithm design and analysis
Applied sciences
Attenuation
Bandwidth
Closed-form solution
Convex optimization
cosine-modulated filter bank
Design optimization
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Exact solutions
Filter bank
Filter banks
Image reconstruction
Information, signal and communications theory
Iterative algorithms
Linear phase
Mathematical analysis
Miscellaneous
Modulation, demodulation
Nonlinear filters
Optimization
Programming
prototype filter
Prototypes
semidefinite programming
Signal and communications theory
Signal processing
Signal, noise
Spectra
Telecommunications and information theory
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents efficient approaches for designing cosine-modulated filter banks with linear phase prototype filter. First, we show that the design problem of the prototype filter being a spectral factor of 2 M th-band filter is a nonconvex optimization problem with low degree of nonconvexity. As a result, the nonconvex optimization problem can be cast into a semi-definite programming (SDP) problem by a convex relaxation technique. Then the reconstruction error is further minimized by an efficient iterative algorithm in which the closed-form expression is given in each iteration. Several examples are given to illustrate the effectiveness of the proposed method over the existing ones.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2008.2009268