LTFAT - Wavelets
Zdenek Prusa, 2013 - 2023.
If you use the wavelets module for a scientific work, please cite:
Z. Průša, P. L. Søndergaard, and P. Rajmic. “Discrete Wavelet Transforms in the Large
Time-Frequency Analysis Toolbox for MATLAB/GNU Octave.” ACM Trans. Math. Softw. 42, 4,
Article 32, 2016. DOI: 10.1145/2839298
Basic analysis/synthesis
- fwt - Fast Wavelet Transform
- ifwt - Inverse Fast Wavelet Transform
- fwt2 - 2D Fast Wavelet Transform
- ifwt2 - 2D Inverse Fast Wavelet Transform
- ufwt - Undecimated Fast Wavelet Transform
- iufwt - Inverse Undecimated Fast Wavelet Transform
- fwtlength - Length of Wavelet system to expand a signal
- fwtclength - Lengths of the wavelet coefficient subbands
Advanced analysis/synthesis
- wfbt - Transform using general Wavelet Filter Bank Tree
- iwfbt - Inverse transform using general Wavelet Filter Bank Tree
- uwfbt - Undecimated transform using general Wavelet Filter Bank Tree
- iuwfbt - Inverse Undecimated transform using general Wavelet Filter Bank Tree
- wpfbt - Wavelet Packet Transform using general Wavelet Filter Bank Tree
- iwpfbt - Inverse Wavelet Packet Transform using general Wavelet Filter Bank Tree
- uwpfbt - Undecimated Wavelet Packet Transform using general Wavelet Filter Bank Tree
- iuwpfbt - Inverse Undecimated Wavelet Packet Transform using general Wavelet Filter Bank Tree
- wpbest - Best Tree selection
- wfbtlength - Length of Wavelet filter bank system to expand a signal
- wfbtclength - Lengths of Wavelet filter bank coefficient subbands
- wpfbtclength - Lengths of Wavelet Packet transform coefficient subbands
Wavelet Filterbank trees manipulation
- wfbtinit - Wavelet Filter Bank tree structure initialization
- dtwfbinit - Dual-Tree wavelet filter bank structure initialization
- wfbtput - Puts node (basic filter bank) to the specific tree coordinates
- wfbtremove - Removes node (basic filter bank) from the specific tree coordinates
- wfbt2filterbank - WFBT or FWT non-iterated filter bank using the multi-rate identity
- wpfbt2filterbank - WPFBT non-iterated filter bank using the multi-rate identity
- dtwfb2filterbank - DTWFB or DTWFBREAL non-iterated filter bank
- fwtinit - Basic Wavelet Filters structure initialization
Frame properties of wavelet filter banks:
Plots
- plotwavelets - Plot wavelet coefficients
- wfiltinfo - Plot wavelet filters impulse and frequency responses and approximation of scaling and wavelet functions
- wfiltdtinfo - Plot the same as WFILTINFO but for dual-tree wavelet transform
Auxilary
- wavfun - Approximate of the continuous scaling and wavelet functions
- wavcell2pack - Changes wavelet coefficient storing format
- wavpack2cell - Changes wavelet coefficient storing format back
Wavelet Filters defined in the time-domain