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Non-sinusoidal Orthogonal Functions in Systems and Control

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Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 46))

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Abstract

This chapter discusses different types of non-sinusoidal orthogonal functions such as Haar functions, Walsh functions, block pulse functions, sample-and-hold functions, triangular functions, non-optimal block pulse functions and a few others. It also discusses briefly the application of Walsh, block pulse and triangular functions, three major members of the non-sinusoidal orthogonal function family, in the area of systems and control. Finally, this chapter proposes a new set of orthogonal functions named ‘Hybrid Function’ (HF). At the end of the chapter, more than hundred useful references are given.

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Authors and Affiliations

  1. Department of Applied Physics, University of Calcutta, Kolkata, India

    Anish Deb & Gautam Sarkar

  2. Department of Electrical Engineering, Budge Budge Institute of Technology, Kolkata, India

    Srimanti Roychoudhury

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  1. Anish Deb
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  2. Srimanti Roychoudhury
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  3. Gautam Sarkar
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Deb, A., Roychoudhury, S., Sarkar, G. (2016). Non-sinusoidal Orthogonal Functions in Systems and Control. In: Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions. Studies in Systems, Decision and Control, vol 46. Springer, Cham. https://doi.org/10.1007/978-3-319-26684-8_1

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