Optimal prefilters for the multiwavelet filter banks

Author

Attakitmongcol, Kitti ; Hardin, Douglas P. ; Wilkes, D. Mitchell

Author_Institution

Sch. of Electr. Eng., Suranaree Univ. of Technol., Nakhon Rachasima, Thailand

Volume

6

fYear

2001

fDate

2001

Firstpage

3613

Abstract

This paper proposes a method to obtain optimal 2nd-order approximation preserving prefilters for a given orthogonal unbalanced multiwavelet basis. This procedure uses the prefilter construction introduced in Hardin et al., (1998). The prefilter optimization scheme exploits the Taylor series expansion of the prefilter combined with the multiwavelet. Using the DGHM multiwavelet with the obtained optimal prefilter, we find that quadratic input signals are annihilated by the high-pass portion of the filter bank at the first level of decomposition

Keywords

high-pass filters; optimisation; series (mathematics); wavelet transforms; 2nd-order approximation preserving prefilters; DGHM multiwavelet; Taylor series expansion; high-pass filter bank; multiwavelet filter banks; optimal prefilters; orthogonal unbalanced multiwavelet basis; Algorithm design and analysis; Channel bank filters; Equations; Filter bank; Mathematics; Matrix decomposition; Multiresolution analysis; Polynomials; Reconstruction algorithms; Taylor series;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.940624

Filename

940624