4.5 Article

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

Journal

Publisher

ASSOC COMPUTING MACHINERY
DOI: 10.1145/2839298

Keywords

Filterbanks; finite frames; discrete wavelet transform; discrete wavelet packets; dual-tree complex wavelet transform

Funding

  1. Austrian Science Fund (FWF) START-project FLAME (Frames and Linear Operators for Acoustical Modeling and Parameter Estimation) [Y 551-N13]
  2. Ministry of Education, Youth and Sport of the Czech Republic (MSMT) National Sustainability Program [LO1401]

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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.

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