On the realizability of biorthogonal, m-dimensional two-band filter banks
- 1 March 1995
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 43 (3) , 640-648
- https://doi.org/10.1109/78.370619
Abstract
In this paper we show an algebraic approachfor the design of ladder structures for causal bi-orthogonalfilter banks. The key ingredient of the approach is knownin literature as Euclid's algorithm. Using this algorithm wederive some strong result on the design freedom for ladderstructures. In particular we show that the dimensionality ofthe problem plays an important role. We end by with someconjectures concerning the extensions to multi-channel andnon-causal filter banks.Keywords---...Keywords
This publication has 8 references indexed in Scilit:
- The time domain analysis and design of exactly reconstructing FIR analysis/synthesis filter banksPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- An Algorithmic Proof of Suslin′s Stability Theorem for Polynomial RingsJournal of Algebra, 1995
- New networks for perfect inversion and perfect reconstructionIEEE Journal on Selected Areas in Communications, 1992
- The analysis and design of multidimensional FIR perfect reconstruction filter banks for arbitrary sampling latticesIEEE Transactions on Circuits and Systems, 1991
- Perfect reconstruction FIR filter banks: some properties and factorizationsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1989
- Lattice structures for optimal design and robust implementation of two-channel perfect-reconstruction QMF banksIEEE Transactions on Acoustics, Speech, and Signal Processing, 1988
- A theory of multirate filter banksIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGSMathematics of the USSR-Izvestiya, 1977