Design of two-channel perfect-reconstruction linear-phase filter banks for subband image coding by the Lagrange multiplier approach

Author

Shyu, Jong-Jy

Author_Institution

Dept. of Comput. Sci. & Eng., Tatung Inst. of Technol., Taipei, Taiwan

Volume

5

Issue

1

fYear

1995

fDate

2/1/1995 12:00:00 AM

Firstpage

48

Lastpage

51

Abstract

In this paper, a new approach is proposed for the design of two-dimensional two-channel perfect-reconstruction FIR filter banks employing diamond-shaped linear-phase filters. When one of the analysis filter pair is properly designed, the condition of perfect-reconstruction is formulated into a spatial-domain constraint equation for designing the other. The method is based on minimizing the integrated square error for the frequency response over the passband and stopband while imposing the spatial-domain constraint. One design example is given to demonstrate the perfect-reconstruction for the proposed system

Keywords

FIR filters; band-pass filters; delay circuits; filtering theory; frequency response; image coding; network synthesis; FIR filter banks; Lagrange multiplier; analysis filter; diamond-shaped linear-phase filters; frequency response; integrated square error minimisation; linear-phase filter banks; passband; spatial-domain constraint equation; stopband; subband image coding; two-channel perfect-reconstruction; Channel bank filters; Digital filters; Filter bank; Finite impulse response filter; Frequency response; Image coding; Image reconstruction; Lagrangian functions; Signal analysis; Signal synthesis;

fLanguage

English

Journal_Title

Circuits and Systems for Video Technology, IEEE Transactions on

Publisher

ieee

ISSN

1051-8215

Type

jour

DOI

10.1109/76.350778

Filename

350778