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

Author:

Průša ZdenĚK1,Søndergaard Peter L.2,Rajmic Pavel3

Affiliation:

1. Austrian Academy of Sciences, Vienna, Austria

2. Austrian Academy of Sciences, Smørum, Denmark

3. Brno University of Technology, Brno, Czech Republic

Abstract

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.

Funder

Ministry of Education, Youth and Sport of the Czech Republic (MŠMT) National Sustainability Program

Austrian Science Fund (FWF) START-project FLAME

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

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4. Symmetric nearly shift-invariant tight frame wavelets

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