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Walsh Functions and their Applications: A Review

The piecewise constant Walsh function is not new in the field of mathematics because it was proposed in the year 1923 by J L Walsh. But its suitability to qualify as an elegant mathematical tool for the analysis of physical systems became apparent to the researchers quite late. Though other functions of the same piecewise constant orthogonal class attracted attentions of scientists as well as technologists to find frequent applications, the Walsh function has maintained its leadership among its clan having wide application areas ranging from the field of communication to the area of systems and control. The applications encompass die areas of digital signal processing image processing, logic circuit design etc.The present paper gives an overview of the Walsh analysis with special stress upon its application in the fields of communication, systems, control and other areas as well. The paper also reviews other non-sinusoidal orthogonal functions of the same class. Considering the present state of applicatio...