Multirate systems and filter banks
Multirate systems and filter banks
Theory and design of two-dimensional filter banks: a review
Multidimensional Systems and Signal Processing - Special issue: multidimensional filter banks and wavelets: basic theory and cosine modulated filter banks
Two-channel adaptive biorthogonal filterbanks via lifting
Signal Processing
Cosine-modulated 2-dimensional perfect reconstruction FIR filter banks with linear phase
ICASSP '96 Proceedings of the Acoustics, Speech, and Signal Processing, 1996. on Conference Proceedings., 1996 IEEE International Conference - Volume 03
Design of optimal quincunx filter banks for image coding
EURASIP Journal on Applied Signal Processing
Multiresolution direction filterbanks: theory, design, and applications
IEEE Transactions on Signal Processing - Part I
Recursive biorthogonal interpolating wavelets and signal-adaptedinterpolating filter banks
IEEE Transactions on Signal Processing
A general formulation of modulated filter banks
IEEE Transactions on Signal Processing
Two-dimensional perfect reconstruction FIR filter banks withtriangular supports
IEEE Transactions on Signal Processing
Two-dimensional orthogonal filter banks and wavelets with linearphase
IEEE Transactions on Signal Processing
Efficient design of oversampled NPR GDFT filterbanks
IEEE Transactions on Signal Processing
A Class of Multiresolution Directional Filter Banks
IEEE Transactions on Signal Processing
On the study of four-parallelogram filter banks
IEEE Transactions on Signal Processing
The Shiftable Complex Directional Pyramid—Part II: Implementation and Applications
IEEE Transactions on Signal Processing - Part I
A design method of multidimensional linear-phase paraunitary filterbanks with a lattice structure
IEEE Transactions on Signal Processing
Wavelet families of increasing order in arbitrary dimensions
IEEE Transactions on Image Processing
Stochastic nonlinear image restoration using the wavelet transform
IEEE Transactions on Image Processing
A Bayesian filtering technique for SAR interferometric phase fields
IEEE Transactions on Image Processing
The contourlet transform: an efficient directional multiresolution image representation
IEEE Transactions on Image Processing
Image analysis using a dual-tree M-band wavelet transform
IEEE Transactions on Image Processing
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This paper investigates two-dimensional (2D) 2x oversampled DFT modulated filter banks and 2D critically sampled modified DFT (MDFT) modulated filter banks as well as their design. The structure and perfect reconstruction (PR) condition of 2D 2x oversampled DFT modulated filter banks are presented in terms of the polyphase decompositions of prototype filters (PFs). In the double-prototype case, the part solutions of the PR condition are parameterized by imposing the 2D two-channel lifting structure on each pair of the polyphase components of analysis and synthesis PFs. Based on the parametric structure, the analysis and synthesis PFs are separately designed by constrained quadratic programs. The obtained filter banks are of structurally PR. Moreover, 2D critically sampled MDFT modulated filter banks are proposed. It is proved that 2D critically sampled PR MDFT modulated filter banks can be rebuilt from 2D 2x oversampled PR DFT modulated filter banks when the decimation matrices satisfy a permissible condition and the analysis and synthesis PFs are identical and symmetric with respect to the origin. A numerical algorithm is given to design 2D critically sampled PR MDFT modulated filter banks and the obtained filter banks are of numerically PR.