Generalized Walsh Bases and Applications

Dorin Dutkay, Gabriel Picioroaga

Published 2013-07-29Version 1

We investigate convergence properties of generalized Walsh series associated with signals $f\in L^1[0,1]$. We also show how the dependence of the generalized Walsh bases on $N\times N$ unitary matrices allows for applications in signal encoding and encryption, provided the signals are piece-wise constant on $N$-adic subintervals of $[0,1]$.