Gröbner Bases and Multidimensional FIR Multirate Systems
Multidimensional Systems and Signal Processing
Hybrid wavelet-support vector classification of waveforms
Journal of Computational and Applied Mathematics
Quantized Oversampled Filter Banks with Erasures
DCC '01 Proceedings of the Data Compression Conference
General design algorithm for sparse frame expansions
Signal Processing
Tight and sibling frames originated from discrete splines
Signal Processing
On the behavior of causal projections with applications
Signal Processing
EURASIP Journal on Applied Signal Processing
Frame-based multiple-description video coding with extended orthogonal filter banks
EURASIP Journal on Applied Signal Processing
Joint source-channel coding by means of an oversampled filter bank code
EURASIP Journal on Applied Signal Processing
Characterization of oblique dual frame pairs
EURASIP Journal on Applied Signal Processing
Foundations and Trends in Signal Processing
Oversampling and reconstruction functions with compact support
Journal of Computational and Applied Mathematics
Wavelet codes: detection and correction using Kalman estimation
IEEE Transactions on Signal Processing
Optimization of synthesis oversampled complex filter banks
IEEE Transactions on Signal Processing
Optimal noise reduction in oversampled PR filter banks
IEEE Transactions on Signal Processing
Quantization of filter bank frame expansions through moving horizon optimization
IEEE Transactions on Signal Processing
Generic invertibility of multidimensional FIR filter banks and MIMO systems
IEEE Transactions on Signal Processing
Bound ratio minimization of filter bank frames
IEEE Transactions on Signal Processing
Superposition frames for adaptive time-frequency analysis and fast reconstruction
IEEE Transactions on Signal Processing
Frame-theoretic analysis of robust filter bank frames to quantization and erasures
IEEE Transactions on Signal Processing
A procedure to adapt filter banks to finite-length signals
IEEE Transactions on Signal Processing
Contourlet filter design based on chebyshev best uniform approximation
EURASIP Journal on Advances in Signal Processing
Symmetric interplatory framelets and their erasure recovery properties
MRCS'06 Proceedings of the 2006 international conference on Multimedia Content Representation, Classification and Security
Hi-index | 35.71 |
Perfect reconstruction oversampled filter banks are equivalent to a particular class of frames in l2(Z). These frames are the subject of this paper. First, the necessary and sufficient conditions of a filter bank for implementing a frame or a tight frame expansion are established, as well as a necessary and sufficient condition for perfect reconstruction using FIR filters after an FIR analysis. Complete parameterizations of oversampled filter banks satisfying these conditions are given. Further, we study the condition under which the frame dual to the frame associated with an FIR filter bank is also FIR and give a parameterization of a class of filter banks satisfying this property. Then, we focus on non-subsampled filter banks. Non-subsampled filter banks implement transforms similar to continuous-time transforms and allow for very flexible design. We investigate the relations of these filter banks to continuous-time filtering and illustrate the design flexibility by giving a procedure for designing maximally flat two-channel filter banks that yield highly regular wavelets with a given number of vanishing moments