Permutation Based Design of Orthogonal Block Transformsand Filter Banks
Multidimensional Systems and Signal Processing
An adaptive lapped biorthogonal transform and its application in orientation adaptive image coding
Signal Processing - Image and Video Coding beyond Standards
Quaternionic lattice structures for four-channel paraunitary filter banks
EURASIP Journal on Applied Signal Processing
On characterization of linear phase nonuniform filter banks
Signal Processing
Optimization of synthesis oversampled complex filter banks
IEEE Transactions on Signal Processing
On the arbitrary-length M-channel linear phase perfect reconstruction filter banks
IEEE Transactions on Signal Processing
Block-wise implementation of directional GenLOT
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
A two-channel overlapped block transform for image compression
IEEE Transactions on Image Processing
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The general factorization of a linear-phase paraunitary filter bank (LPPUFB) is revisited. From this new perspective, a class of lapped orthogonal transforms with extended overlap (generalized linear-phase lapped orthogonal transforms (GenLOTs)) is developed as a subclass of the general class of LPPUFB. In this formulation, the discrete cosine transform (DCT) is the order-1 GenLOT, the lapped orthogonal transform is the order-2 GenLOT, and so on, for any filter length that is an integer multiple of the block size. The GenLOTs are based on the DCT and have fast implementation algorithms. The implementation of GenLOTs is explained, including the method to process finite-length signals. The degrees of freedom in the design of GenLOTs are described, and design examples are presented along with image compression tests