Generalized Walsh Bases and Applications

Published 29 Jul 2013 in math.FA | (1307.7646v1)

Abstract: 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 $[0,1]$.

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