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Walsh transform theory and its application to systems analysis and control: an overview

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  • Tzafestas, S.G.

Abstract

The purpose of this paper is to provide an overview of the works dealing with the application and utilization of Walsh function series and transforms to a variety of systems and control applications. The works reviewed are classified in the following groups: 1. Walsh signal definition and generation, 2. Walsh transform Computation, 3. System analysis using Walsh functions, 4. System identification via Walsh functions, 5. Optimal control via Walsh functions, 6. Block-pulse functions, 7. Miscellaneous properties of Walsh functions, 8. Walsh-to-Fourier transform conversion, and 9. Walsh transform applications.

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  • Tzafestas, S.G., 1983. "Walsh transform theory and its application to systems analysis and control: an overview," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 25(3), pages 214-225.
    • Handle: RePEc:eee:matcom:v:25:y:1983:i:3:p:214-225
    DOI: 10.1016/0378-4754(83)90095-2
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    References listed on IDEAS

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    1. Stavroulakis, P. & Tzafestas, S., 1980. "Distributed-parameter observer-based control implementation using finite spatial measurements," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 22(4), pages 373-379.
    2. Tzafestas, S. & Frangakis, G., 1981. "A fast digital Walsh-Hadamard signal processing system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 23(2), pages 163-169.
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