A Fast Design Method for Perfect-Reconstruction Uniform Cosine-Modulated Filter Banks

Author

Doblinger, Gerhard

Author_Institution

Inst. of Telecommun., Vienna Univ. of Technol., Vienna, Austria

Volume

60

Issue

12

fYear

2012

Firstpage

6693

Lastpage

6697

Abstract

In this correspondence, we present a new and fast design algorithm for perfect-reconstruction (PR), maximally decimated, uniform, cosine-modulated filter banks. Perfect reconstruction is obtained within arithmetic machine precision. The new design does not need numerical optimization routines and is significantly faster than a competing method based on second-order cone programming (SOCP). The proposed design algorithm finds the optimum solution by iteratively solving a quadratic programming problem with linear equality constraints. By a special modification of the basic algorithm, we obtain PR filter banks with high stopband attenuations. In addition, fast convergence is verified by designing PR filter banks with up to 128 channels.

Keywords

channel bank filters; convergence of numerical methods; iterative methods; quadratic programming; PR maximally decimated filter banks; SOCP; arithmetic machine precision; fast convergence; fast design method; high stopband attenuations; linear equality constraints; perfect-reconstruction uniform cosine-modulated filter banks; quadratic programming problem; second-order cone programming; Algorithm design and analysis; Finite impulse response filter; Linear programming; Optimization; Prototypes; Vectors; Cosine-modulated filter banks; iterative quadratic programming; perfect-construction filter banks; second-order cone programming;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2012.2217139

Filename

6294460