A state-space approach to Walsh series solution of linear systems
- 1 September 1975
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 6 (9) , 833-858
- https://doi.org/10.1080/00207727508941868
Abstract
A state-space procedure for solving linear dynamic systems by the Walsh series is developed. A new operational matrix plays the main role and a new Kronecker product formula is established. The laborious use of Corrington'B tables is eliminated. Several examples illustrate the process and demonstrate the power of the approach.Keywords
This publication has 12 references indexed in Scilit:
- Solution of differential and integral equations with Walsh functionsIEEE Transactions on Circuit Theory, 1973
- Walsh Function Imagery AnalysisIEEE Transactions on Electromagnetic Compatibility, 1971
- Playing the Identification Game With Walsh FunctionsIEEE Transactions on Electromagnetic Compatibility, 1971
- Application of Walsh Functions to Transform SpectroscopyNature, 1969
- Applications of Walsh functions in communicationsIEEE Spectrum, 1969
- Computation of the Fast Walsh-Fourier TransformIEEE Transactions on Computers, 1969
- The Orthomatch Data Transmission SystemIEEE Transactions on Space Electronics and Telemetry, 1963
- A Remarkable Series of Orthogonal Functions (I)Proceedings of the London Mathematical Society, 1932
- A Closed Set of Normal Orthogonal FunctionsAmerican Journal of Mathematics, 1923
- Einige S tze ber Reihen von allgemeinen OrthogonalfunktionenMathematische Annalen, 1922