A study of two-channel complex-valued filterbanks and wavelets with orthogonality and symmetry properties

Author

Gao, Xiqi Q. ; Nguyen, Truong Q. ; Strang, Gilbert

Author_Institution

Dept. of Math., MIT, Cambridge, MA, USA

Volume

50

Issue

4

fYear

2002

fDate

4/1/2002 12:00:00 AM

Firstpage

824

Lastpage

833

Abstract

We investigate two-channel complex-valued filterbanks and wavelets that simultaneously have orthogonality and symmetry properties. First, the conditions for the filterbank to be orthogonal, symmetric, and regular (for generating smooth wavelets) are presented. Then, a complete and minimal lattice structure is developed, which enables a general design approach for filterbanks and wavelets with arbitrary length and arbitrary order of regularity. Finally, two integer implementation methods that preserve the perfect reconstruction property of the filterbank are proposed. Their performances are evaluated via experimental results

Keywords

channel bank filters; lattice filters; wavelet transforms; design approach; integer implementation methods; lattice structure; orthogonality properties; perfect reconstruction property; regularity; symmetry properties; two-channel complex-valued filterbanks; wavelets; Design methodology; Finite impulse response filter; Information filtering; Information filters; Lattices; Mathematics; Nonlinear filters; Performance evaluation; Quadrature amplitude modulation; Radar;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.992127

Filename

992127