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A Recursive Algorithm for Sequency-Ordered Fast Walsh Transforms

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1 Author(s)
R. D. Brown ; Computer Sciences Corporation

An algorithm has been developed for calculating sequency-ordered fast Walsh-Fourier transforms (FWT's) using an additive recursion formula. Sequency-ordered FWT's of an N-dimensioned sampled data set are generated by a summation recursion of FWT's on subintervals of the data set. The algorithm is fast (N log2 N summations), computer efficient, and can be applied to time-dependent spectral analysis of nonstationary phenomena such as speech.

Published in:

IEEE Transactions on Computers  (Volume:C-26 ,  Issue: 8 )