Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for R/sup n/
- 1 March 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 38 (2) , 533-555
- https://doi.org/10.1109/18.119722
Abstract
New results on multidimensional filter banks and their connection to multidimensional nonseparable wavelets are presented. Among the topics discussed are sampling in multiple dimensions, multidimensional perfect reconstruction filter banks, the two-channel case in multiple dimensions, the synthesis of multidimensional filter banks, and the design of compactly supported wavelets.<>Keywords
This publication has 29 references indexed in Scilit:
- Wavelets and Dilation Equations: A Brief IntroductionSIAM Review, 1989
- Two-channel perfect-reconstruction FIR QMF structures which yield linear-phase analysis and synthesis filtersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1989
- The role of lossless systems in modern digital signal processing: a tutorialIEEE Transactions on Education, 1989
- Lattice structures for optimal design and robust implementation of two-channel perfect-reconstruction QMF banksIEEE Transactions on Acoustics, Speech, and Signal Processing, 1988
- Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction propertyIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- A new filter bank theory for time-frequency representationIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- A theory of multirate filter banksIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- Exact reconstruction techniques for tree-structured subband codersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1986
- Filter banks allowing perfect reconstructionSignal Processing, 1986
- Multi-dimensional sub-band coding: Some theory and algorithmsSignal Processing, 1984