On factorization of a subclass of 2-D digital FIR lossless matrices for 2-D QMF bank applications

Author

Liu, V.C. ; Vaidyanathan, P.P.

Author_Institution

Dept of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA

Volume

37

Issue

6

fYear

1990

fDate

6/1/1990 12:00:00 AM

Firstpage

852

Lastpage

854

Abstract

The role of one-dimensional (1-D) digital finite impulse response (FIR) lossless matrices in the design of FIR perfect reconstruction quadrature mirror filter (QMF) banks has been explored previously. Structures which can realize the complete family of FIR lossless transfer matrices, have also been developed, with QMF application in mind. For the case of 2-D QMF banks, the same concept of lossless polyphase matrix has been used to obtain perfect reconstruction. However, the problem of finding a structure to cover all 2-D FIR lossless matrices of a given degree has not been solved. Progress in this direction is reported. A structure which completely covers a well-defined subclass of 2-D digital FIR lossless matrices is obtained

Keywords

digital filters; matrix algebra; network synthesis; signal processing; 2-D QMF bank; 2-D digital FIR lossless matrices; factorization; lossless polyphase matrix; quadrature mirror filter; transfer matrices; Attenuation; Circuits and systems; Delay; Digital filters; Finite impulse response filter; Image coding; Image reconstruction; Passband;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.55051

Filename

55051