Generation of Sets of Sequences lsomorphic to Walsh Sequences

Abstract

Walsh sequences of the order 2k, k positive integer, form an additive group generated by Rademacher sequences set of ft-order. Except the zero sequence, Walsh sequences form an orthogonal set. Our present work allows us to generate 2r-' sets of sequences. Each of these sets is equivalent to the Rademacher sequences set of fr-order, and to that related to Walsh sequences.