Linear phase FIR paraunitary filter banks and higher multiplicity wavelet given several analysis filters

Author

Kok, C.W. ; Ikehara, M. ; Nguyen, T.Q.

Author_Institution

Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA

Volume

1

fYear

1997

fDate

9-12 Jun 1997

Firstpage

201

Abstract

The theory and design of paraunitary filter banks where several analysis filters are given is considered in this paper. Factorization based algorithm is derived for paraunitary completion problem with linear and nonlinear phase filters and arbitrary number of channels. A time domain algorithm is derived which formulates the problem in quadratic form for computational efficiency. Both algorithms are shown to completely characterize all embedding solutions. The existence of orthogonal wavelet with higher multiplicity and with arbitrary number of channels is considered and design example is presented

Keywords

FIR filters; delay circuits; digital filters; nonlinear filters; time-domain analysis; wavelet transforms; analysis filters; computational efficiency; factorization based algorithm; higher multiplicity wavelet; linear phase FIR paraunitary filter banks; nonlinear phase filters; orthogonal wavelet; paraunitary completion problem; quadratic form; time domain algorithm; Channel bank filters; Computational efficiency; Equations; Filter bank; Filtering theory; Finite impulse response filter; Nonlinear filters; Polynomials; State-space methods; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on

Print_ISBN

0-7803-3583-X

Type

conf

DOI

10.1109/ISCAS.1997.608667

Filename

608667