Discrete Wavelet Transforms in the Large Time-Frequency Analysis Toolbox for MATLAB/GNU Octave

The discrete wavelet transform module is a recent addition to the Large Time-Frequency Analysis Toolbox (LTFAT). It provides implementations of various generalizations of Mallat's well-known algorithm (iterated filterbank) such that completely general filterbank trees, dual-tree complex wavelet...

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Bibliographic Details
Published in:ACM transactions on mathematical software 2016-07, Vol.42 (4), p.1-23
Main Authors: Průša, ZdenĚK, Søndergaard, Peter L., Rajmic, Pavel
Format: Article
Language:English
Subjects:
Algorithms
Computer programs
Discrete Wavelet Transform
Equivalence
Matlab
Time-frequency analysis
Wavelet transforms
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Summary:The discrete wavelet transform module is a recent addition to the Large Time-Frequency Analysis Toolbox (LTFAT). It provides implementations of various generalizations of Mallat's well-known algorithm (iterated filterbank) such that completely general filterbank trees, dual-tree complex wavelet transforms, and wavelet packets can be computed. The resulting transforms can be equivalently represented as filterbanks and analyzed as filterbank frames using fast algorithms.
ISSN:0098-3500
1557-7295
DOI:10.1145/2839298