Time-Shift Theorems for Walsh Transforms and Solution of Difference Equations
- 1 May 1976
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Electromagnetic Compatibility
- Vol. EMC-18 (2) , 83-87
- https://doi.org/10.1109/TEMC.1976.303471
Abstract
Several time-shift theorems for Walsh transforms of functions subject to nondyadic as well as dyadic time displacements are presented. Spectrum-conversion matrices are defined and a relation between a function with an ordinary shift and that with a dyadic shift is established. Procedures for solving difference equations by Walsh transformation are given.Keywords
This publication has 5 references indexed in Scilit:
- Transmission of Information by Orthogonal FunctionsPublished by Springer Nature ,1972
- On State-Space Description of Linear Dyadic-Invariant SystemsIEEE Transactions on Electromagnetic Compatibility, 1971
- Generalized Walsh transformsPacific Journal of Mathematics, 1955
- On the Walsh FunctionsTransactions of the American Mathematical Society, 1949
- A Closed Set of Normal Orthogonal FunctionsAmerican Journal of Mathematics, 1923