An adaptive lapped biorthogonal transform and its application in orientation adaptive image coding
Signal Processing - Image and Video Coding beyond Standards
Design of optimal quincunx filter banks for image coding
EURASIP Journal on Applied Signal Processing
On characterization of linear phase nonuniform filter banks
Signal Processing
On the arbitrary-length M-channel linear phase perfect reconstruction filter banks
IEEE Transactions on Signal Processing
A hybrid M-channel filter bank and DCT framework for H.264/AVC intra coding
Multimedia Tools and Applications
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A lattice structure for an M-channel linear-phase perfect reconstruction filter bank (LPPRFB) based on the singular value decomposition (SVD) is introduced. The lattice can be proven to use a minimal number of delay elements and to completely span a large class of LPPRFBs: all analysis and synthesis filters have the same FIR length, sharing the same center of symmetry. The lattice also structurally enforces both linear-phase and perfect reconstruction properties, is capable of providing fast and efficient implementation, and avoids the costly matrix inversion problem in the optimization process. From a block transform perspective, the new lattice can be viewed as representing a family of generalized lapped biorthogonal transform (GLBT) with an arbitrary number of channels M and arbitrarily large overlap. The relaxation of the orthogonal constraint allows the GLBT to have significantly different analysis and synthesis basis functions, which can then be tailored appropriately to fit a particular application. Several design examples are presented along with a high-performance GLBT-based progressive image coder to demonstrate the potential of the new transforms