Faster 2D-Hadmard Tranform

Version 1.0.0.0 (3.11 KB) by Andre
Fast 2D-Hadamard/Walsh Transform based on Simple Matrix Vector Multiplication
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2.4K Downloads
Updated 27 Jun 2008

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This function generates the 2D Walsh or Hadamard Transform of a matrix.
Where the Walsh Transform uses the sequency ordered matrix and the Hadamard the natural/hadamard ordered matrix.
The paley ordered transform is not yet implemented.

On my machine the function can transform matrices of a size up to 4096x4096 in very little time compared to the other 2D Walsh/Hadamard transform (ID 6882) which needs substantially more time.
For a 4096x4096 the transformation takes ~30s on the first call and ~20s after that (Transformation matrix is cashed)

References:
Walsh functions:
http://mathworld.wolfram.com/WalshFunction.html

Howto generate sequency ordered Hadamard Matrices:
http://ieeexplore.ieee.org/iel5/12/35157/01674860.pdf

http://dx.doi.org/
doi:10.1016/j.physletb.2003.10.071

Cite As

Andre (2024). Faster 2D-Hadmard Tranform (https://www.mathworks.com/matlabcentral/fileexchange/20312-faster-2d-hadmard-tranform), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2008a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
1.0.0.0

Fixed description spelling.