A measure of near-orthogonality of PR biorthogonal filter banks

Author

Moreau de Saint-Martin, F. ; Cohen, Albert ; Siohan, Pierre

Author_Institution

CCETT, Cesson Sevigne, France

Volume

2

fYear

1995

fDate

9-12 May 1995

Firstpage

1480

Abstract

We study the non-orthogonality of perfect-reconstruction (PR) biorthogonal filter banks by measuring the energy preservation between the spatial and transform domains. The mathematical formulation of that issue leads to the computation of the Riesz constants, and a more relevant modelization leads to a measure of near-orthogonality which is well suited for image compression systems based on filter banks. This provides a criterion for the validity of the energy preservation approximation: we can compare the latter approximation with the one that is made when estimating the perceptual quality of an image by the mean square error

Keywords

band-pass filters; data compression; filtering theory; image coding; quantisation (signal); transform coding; PR biorthogonal filter banks; Riesz constants; energy preservation; image compression systems; mean square error; modelization; near-orthogonality; nonorthogonality; perceptual quality estimation; perfect-reconstruction; spatial domains; transform domains; Bit rate; Channel bank filters; Filter bank; Filtering; Image reconstruction; Low pass filters; Mathematical model; Mean square error methods; Quantization; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on

Conference_Location

Detroit, MI

ISSN

1520-6149

Print_ISBN

0-7803-2431-5

Type

conf

DOI

10.1109/ICASSP.1995.480564

Filename

480564