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
Design of optimal quincunx filter banks for image coding
EURASIP Journal on Applied 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
Design of biorthogonal M-channel cosine-modulated FIR/IIR filter banks
IEEE Transactions on Signal Processing
Nonseparable two- and three-dimensional wavelets
IEEE Transactions on Signal Processing
A Class of Multiresolution Directional Filter Banks
IEEE Transactions on Signal Processing
Theory and design of two-parallelogram filter banks
IEEE Transactions on Signal Processing
A design method of multidimensional linear-phase paraunitary filterbanks with a lattice structure
IEEE Transactions on Signal Processing
Stochastic nonlinear image restoration using the wavelet transform
IEEE Transactions on Image Processing
The contourlet transform: an efficient directional multiresolution image representation
IEEE Transactions on Image Processing
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In this paper, the recent bi-iterative second-order cone program (BI-SOCP) to design one-dimensional (1D) DFT modulated filter banks is extended to the 2D case to design two-dimensional (2D) linear phase nonseparable DFT modulated filter banks. Some essential properties of 2D DFT modulated filter banks are presented and a permissibility of the configuration of filter banks is given. The design problem is formulated into a non-convex optimization, which minimizes the maximal amplitude of the transfer function distortion and aliasing transfer functions of the filter bank subject to predefined bounds on the stopband energy, the transition-band energy, and a passband flatness measure of the prototype filters (PFs). The optimization problem is solved by the BI-SOCP algorithm, where 2D linear phase analysis and synthesis PFs are alternately optimized via second-order cone programs (SOCPs). Numerical examples are included to show that the BI-SOCP can yield 2D linear phase nonseparable DFT modulated filter banks with good overall performance.