Rational transfer matrices with FIR inverses

Author

Brislawn, Christopher M.

Author_Institution

Los Alamos Nat. Lab., NM, USA

fYear

1996

fDate

18-21 Jun 1996

Firstpage

53

Lastpage

56

Abstract

We present a simple extension for rational transfer matrices of known results characterizing the invariant factors of causal FIR matrices with FIR inverses. This includes and generalizes previous characterizations of causal FIR multirate filter banks with anticausal FIR inverses, the so-called cafacafi systems. In particular, we extend (to the rational case) the result that G(z) is a square cafacafi system if and only if its determinantal degree is equal to its McMillan degree

Keywords

FIR filters; band-pass filters; determinants; filtering theory; inverse problems; signal reconstruction; transfer function matrices; FIR inverses; FIR matrices; McMillan degree; anticausal FIR inverses; cafacafi systems; causal FIR multirate filter banks; determinantal degree; invariant factors; perfect reconstruction filter banks; rational transfer matrices; square cafacafi system; Convolution; Convolutional codes; Delay; Filter bank; Finite impulse response filter; Laboratories; Matrix decomposition; Polynomials; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on

Conference_Location

Paris

Print_ISBN

0-7803-3512-0

Type

conf

DOI

10.1109/TFSA.1996.546684

Filename

546684