Title :
Rational transfer matrices with FIR inverses
Author :
Brislawn, Christopher M.
Author_Institution :
Los Alamos Nat. Lab., NM, USA
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;
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
DOI :
10.1109/TFSA.1996.546684
