Publication

On the Shiftability of Dual-Tree Complex Wavelet Transforms

Related publications (77)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Nonseparable 2-dimensional and 3-dimensional wavelets

Martin Vetterli

We present two- and three-dimensional nonseparable wavelets. They are obtained from discrete-time bases by iterating filter banks. We consider three sampling lattices: quincunx, separable by two in two dimension, and FCO. The design methods are based eithe ...

Institute of Electrical and Electronics Engineers1995

Orthogonal time-varying filter banks and wavelet packets

Martin Vetterli

Considers the construction of orthogonal time-varying filter banks. By examining the time domain description of the two-channel orthogonal filter bank the authors find it possible to construct a set of orthogonal boundary filters, which allows to apply the ...

1994

Tilings of the time-frequency plane: construction of arbitrary orthogonal bases and fast tiling algorithms

Martin Vetterli

The authors consider expansions which give arbitrary orthonormal tilings of the time-frequency plane. These differ from the short-time Fourier transform, wavelet transform, and wavelet packets tilings in that they change over time. They show how this can b ...

1993

Best wavelet packet bases in a rate-distortion sense

Martin Vetterli

A fast rate-distortion (R-D) optimal scheme for coding adaptive trees whose individual nodes spawn descendents forming a disjoint and complete basis cover for the space spanned by their parent nodes is presented. The scheme guarantees operation on the conv ...

1993

Wavelets and Filter Banks: Theory and Design

Martin Vetterli

The wavelet transform is compared with the more classical short-time Fourier transform approach to signal analysis. Then the relations between wavelets, filter banks, and multiresolution signal processing are explored. A brief review is given of perfect re ...

1992

Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for R^n

Martin Vetterli

New results on multidimensional filter banks and their connection to multidimensional nonseparable wavelets are presented. Among the topics discussed are sampling in multiple dimensions, multidimensional perfect reconstruction filter banks, the two-channel ...

Institute of Electrical and Electronics Engineers1992

Wavelets and signal processing

Martin Vetterli

A simple, nonrigorous, synthetic view of wavelet theory is presented for both review and tutorial purposes. The discussion includes nonstationary signal analysis, scale versus frequency, wavelet analysis and synthesis, scalograms, wavelet frames and orthon ...

Institute of Electrical and Electronics Engineers1991