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
The role of Smith-form decomposition of integer-matrices, in multidimensional multirate systems
ICASSP '91 Proceedings of the Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference
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
Optimal prototype filters for near-perfect-reconstruction cosine-modulated filter banks
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part II
On the study of four-parallelogram filter banks
IEEE Transactions on Signal Processing
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Two dimensional (2D) nonseparable filter banks with linear phase (LP) are desired for image sub-band coding and compression. In this paper, we propose a method for designing 2D nonseparable filter banks with the LP and near perfect reconstruction (near-PR) properties. By combining the unimodular transformation and a separable |M|-channel LP filter bank, the design problem is simplified to that of two one-dimensional (1D) LP filter banks. For 1D case, a novel method by employing partial cosine modulation is used to design near-PR filter banks with LP analysis and synthesis filters. For 2D case, we cascade two 1D near-PR LP filter banks in the form of tree structure to design a separable LP filter bank. With the unimodular transformation, a nonseparable LP filter bank is obtained. In addition, the filter bank achieves the near-PR property without sophisticated nonlinear optimization procedures. Design example shows the efficiency and simplicity of the proposed method.