Title :
How to capture all FIR perfect reconstruction QMF banks with unimodular matrices?
Author :
Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
Abstract :
The problem of perfect reconstruction in maximally decimated FIR (finite impulse response) QMF (quadrature mirror filter) banks is revisited. A necessary and sufficient condition for perfect reconstruction in this system is that the polyphase matrix of the analysis bank must have a determinant equal to a delay. The author explores various avenues to completely parameterize such matrices. It is shown that the problem can always be decomposed into two problems: one of parameterizing lossless matrices, and one of parameterizing unimodular matrices. Several possibilities for unimodular parameterization are explored
Keywords :
digital filters; matrix algebra; signal processing; finite impulse response filter; lossless matrices parameterisation; maximally decimated FIR QMF banks; perfect reconstruction; polyphase matrix; quadrature mirror filter banks; unimodular matrices; unimodular parameterization; Artificial intelligence; Constraint optimization; Delay; Filter bank; Finite impulse response filter; Hafnium; Matrix decomposition; Polynomials; State-space methods; Sufficient conditions;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112152
