On non-separable multidimensional perfect reconstruction filter

Author

Basu, Sankar ; Choi, Han-Mook ; Chiang, C.H.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Stevens Inst. of Technol., Hoboken, NJ, USA

fYear

1993

fDate

1-3 Nov 1993

Firstpage

45

Abstract

In a previous paper the authors (see Basu and Chiang, 1992) have stated without proof a result describing how the previously open problem of completely parametrizing all 2D paraunitary filter banks can be resolved. This paper provides a complete proof of the result. The proof is essentially an adaptation of the network theoretic method of synthesis of 2D bounded transfer functions to the case of discrete FIR systems. An example is given, to show how the parametrization can be used to generate a broader class of transfer functions than the separable examples constructed by earlier workers in the field

Keywords

FIR filters; filtering theory; network parameters; network synthesis; transfer functions; two-dimensional digital filters; 2D bounded transfer functions; 2D paraunitary filter banks; discrete FIR systems; multidimensional perfect reconstruction filter; network parameters; network synthesis; network theory; non-separable filter; Channel bank filters; Delay; Filter bank; Finite impulse response filter; Multidimensional systems; Network synthesis; Polynomials; Sampling methods; Signal analysis; Signal synthesis; Transfer functions; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1993. 1993 Conference Record of The Twenty-Seventh Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

0-8186-4120-7

Type

conf

DOI

10.1109/ACSSC.1993.342466

Filename

342466