Multi-dimensional, paraunitary principal component filter banks

Author

Xuan, Bo ; Bamberger, Roberto H.

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA

Volume

2

fYear

1995

fDate

9-12 May 1995

Firstpage

1488

Abstract

This paper presents a generalization of the one-dimensional principal component filter bank (PCFB) derived by Tsatsanis (see Univ. of Virginia, Ph.D. Thesis, Sept. 1992.) to higher dimensions. Previously, the results of Tsatsanis were extended to two-dimensional signals, but this was limited to 2D signals and separable resampling operators. The filter bank discussed results in minimizing the mean squared error when only Q out of P subbands are retained. Furthermore, it is shown that the filter bank maximizes the theoretical coding gain (TCG). Simulations are presented, showing the results for reconstructing an image from only the first subband signal, demonstrating the potential of the PCFB

Keywords

band-pass filters; filtering theory; image coding; image reconstruction; multidimensional digital filters; 2D signals; image reconstruction; mean squared error minimisation; multidimensional filter banks; one-dimensional principal component filter bank; paraunitary principal component filter banks; resampling operators; simulations; subband signal; theoretical coding gain; two-dimensional signals; Band pass filters; Channel bank filters; Filter bank; Image coding; Image reconstruction; Phase distortion; Signal analysis; Signal design; Signal processing; Signal synthesis;

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.1995.480566

Filename

480566