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The application of multiwavelet filterbanks to image processing
Multiwavelets are a new addition to the body of wavelet theory. Realizable as matrix-valued filterbanks leading to wavelet bases, multiwavelets offer simultaneous orthogonality, symmetry, and shortExpand
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Theory of regular M-band wavelet bases
Orthonormal M-band wavelet bases have been constructed and applied by several authors. This paper makes three main contributions. First, it generalizes the minimal length K-regular 2-band wavelets ofExpand
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Teaching problem solving through cooperative grouping
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THE APPLICATION OF MULTIWAVELET FILTER BANKS TO IMAGE PROCESSING ∗
Multiwavelets are a new addition to the body of wavelet theory. Realizable as matrix-valued filter banks leading to wavelet bases, multiwavelets offer simultaneous orthogonality, symmetry, and shortExpand
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A general formulation of modulated filter banks
This paper presents a general framework for maximally decimated modulated filter banks. The theory covers the known classes of cosine modulation and relates them to complex-modulated filter banks.Expand
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Lattice structure for regular paraunitary linear-phase filterbanks and M-band orthogonal symmetric wavelets
Parauninary linear-phase (PULP) M-channel uniform filterbanks, which are also known as the generalized lapped orthogonal transforms (GenLOTs), can be designed and implemented using latticeExpand
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Performance analysis of multicarrier modulation systems using cosine modulated filter banks
We compare the performance of biorthogonal cosine modulated transmultiplexer filter banks with today's multicarrier modulation systems whose transceivers are based on DFT. In contrast to early worksExpand
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The Spectral Theory of Multiresolution Operators and Applications
For any wavelet matrix of rank m and genus g there is an associated wavelet system with a square integrable scaling function and (m-1) wavelet functions; the fundamental scaling equation has mgExpand
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DMT systems, DWMT systems and digital filter banks
A multicarrier modulation system called discrete multitone (DMT) was chosen by the American National Standards Institute (ANSI) as a working standard for asymmetric digital subscriber line (ADSL)Expand
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Wavelet matrices and the representation of discrete functions
Abstract . This paper includes a formulation of the notion of wavelet matrices and their fundamental invariants. These arise as coefficient systems which define compactly supported wavelet systemsExpand
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