  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 algo- rithms and various test and comparative results are presented in this
paper to support the idea of inclusion of these two algorithms in the next
Matlab Signal Processing Toolbox official distribution package as much faster
alternatives to current Matlab functions bitrevorder and digitrevorder.
