Eigen design of quadrature mirror filters

Author

Andrew, L. ; Franques, V.T. ; Jain, V.K.

Author_Institution

Dept. of Electr. Eng., Univ. of South Florida, Tampa, FL, USA

Volume

44

Issue

9

fYear

1997

fDate

9/1/1997 12:00:00 AM

Firstpage

754

Lastpage

757

Abstract

This work presents a method for the design of quadrature mirror filters. A new frequency weighted stopband energy function is introduced, which leads to considerable flexibility in the design process. Unlike other techniques which involve searches and nonlinear optimization, our formulation reduces the design equations to an eigenvector problem. Furthermore, the resulting filters are regular and have additional desirable properties for applications to pyramidal coding of images, which together with DPCM, PCM, vector quantization, or zero-tree wavelet coding schemes leads to high compression ratios

Keywords

eigenvalues and eigenfunctions; filtering theory; image coding; quadrature mirror filters; QMF design; eigen design; eigenvector problem; frequency weighted stopband energy function; high compression ratio; images; pyramidal coding; quadrature mirror filters; Design methodology; Design optimization; Filters; Frequency; Image coding; Mirrors; Nonlinear equations; Phase change materials; Process design; Vector quantization;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.625010

Filename

625010