On circuits and systems analysis using Walsh functions

David J Kish, Purdue University

Abstract

This work focuses on the application of Walsh functions to systems analysis. Walsh functions are applied to solving traditional convolution integral relationships. A novel methodology for solving systems problems using Walsh functions is developed from a Component Connection Model (CCM) perspective. This technique has advantages in analyses with step discontinuous excitations and/or certain non-linear components. The Walsh-domain CCM is also amenable to numerical solution of the periodic steady state. This work compares Walsh domain concepts such as Walsh immittance and sequency response with more traditional frequency domain concepts, e.g., frequency response, impedance and resonance.

Degree

Ph.D.

Advisors

Heydt, Purdue University.

Subject Area

Engineering|Electrical engineering

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