walsh_transform

walsh_transform, a MATLAB code which implements versions of the Walsh and Haar transforms.

Note that the programs, as printed in the reference, had a few typographical errors. Several programs, in particular FHT and FRT, could not be made to perform as described in the text, and hence have been omitted.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

walsh_transform is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

walsh_test

haar_transform, a MATLAB code which computes the Haar transform of data.

sftpack, a MATLAB code which implements the "slow" Fourier transform, intended as a teaching tool and comparison with the fast Fourier transform.

sine_transform, a MATLAB code which demonstrates some simple properties of the discrete sine transform.

wavelet, a MATLAB code which does some simple wavelet calculations;

Reference:

1. Ken Beauchamp,
   Walsh functions and their applications,
   Academic Press, 1975,
   ISBN: 0-12-084050-2,
   LC: QA404.5.B33.

Source Code:

• ffwt.m performs an in-place fast Walsh transform.
• fwt.m performs a fast Walsh transform.
• haar.m performs a Haar transform.
• haarin.m inverts a Haar transform.
• hnorm.m computes the normalization factors for a forward or inverse Haar transform.
• i4_log_2.m returns the integer part of the logarithm base 2 of an I4.
• i4_wrap.m forces an I4 to lie between given limits by wrapping.
• walsh_transform.m performs a fast Walsh transform.