Bit Reversal through Direct Fourier Permutation Method and Vectorial Digit Reversal Generalization
Nicolaie Popescu-Bodorin
Abstract:This paper describes the Direct Fourier Permuation Algorithm, an efficient method of computing Bit Reversal of natural indices [1, 2, 3, . . . , 2 k ] in a vectorial manner (k iterations) and also proposes the Vectorial Digit Reversal Algorithm, a natural generalization of Direct Fourier Permutation Algorithm that is enabled to compute the r-digit reversal of natural indices [1, 2, 3, . . . , r k ] where r is an arbitrary radix. Matlab functions implementing these two algorithms and various test and comparativ… Show more
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