Design of two-channel linear phase orthogonal cyclic filterbanks

Author

Motwani, Ravi ; Ramakrishnan, K.R.

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Sci., Bangalore, India

Volume

5

Issue

5

fYear

1998

fDate

5/1/1998 12:00:00 AM

Firstpage

121

Lastpage

123

Abstract

We propose a method to design an orthonormal two-channel cyclic filterbank (CFB) with real analysis and synthesis filters having linear phase. This is particularly significant, since it is not possible to realize regular two-channel linear phase orthogonal filterbanks (unless the filters are two-tap). The lowpass filter of the FB is obtained as a spectral factor of a zero phase Nyquist(2) filter, which is optimized. We show that the CFB design is computationally less demanding as compared to the noncyclic case, and it may be possible to get better filters. We design the CFB for a particular case and show that this filterbank is not a noncyclic orthogonal filterbank.

Keywords

band-pass filters; circuit optimisation; filtering theory; signal reconstruction; linear phase orthogonal cyclic filterbanks; lowpass filter; noncyclic orthogonal filterbank; orthonormal two-channel filterbanks design; perfect reconstruction system; real analysis filters; real synthesis filters; spectral factor; zero phase Nyquist(2) filter; Cepstrum; Constraint optimization; Design methodology; Design optimization; Eigenvalues and eigenfunctions; Nonlinear filters; Passband; Symmetric matrices;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.668950

Filename

668950