Generalized Walsh Bases and Applications
We investigate convergence properties of generalized Walsh series associated with signals f?L 1[0,1]. We also show how the dependence of the generalized Walsh bases on NN unitary matrices allows for applications in signal encoding and encryption, provided the signals are piece-wise constant on N-adic subintervals of [0,1].
encoding conditional expectation generalized walsh functions martingale maple public key cryptography 42a38 42c10 42c40 42-04