It is also well known that the Walsh functions may be evaluated using Rademacher functions -.
Later on, Meher and Patra  introduced a very simple technique based on combination of unified algorithm  and Rademacher functions.
We found that the original Walsh functions, defined in terms of products of Rademacher functions can be used to transform the information into frequency domain faster than FHT and thus leads to speed up the DSP process.
We preferred definition of Walsh transform based upon derivation of Walsh functions from Rademacher functions which is found to be more appropriate for hardware implementation.
The Walsh functions are defined in terms of product of Rademacher functions as -: