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One-Dimensional Polynomial Splines for Cubic Splines

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Signal Processing Applications Using Multidimensional Polynomial Splines

Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSAPPLSCIENCES))

Abstract

This paper outlines the methods of spline and outlines the best tools and their features for signal processing and analysis. Studies of spline functions indicate that algorithms generated with them are convenient for use in digital signal processors. This is because algorithmic computation of coefficients and algorithms of recovery of signals include operations like parallel additions, multiplication and multiplication with accumulation which are typical for digital processing of signals. An extensive analysis of existing hardware intended for digital processing indicated that architecture and availability of hardware implemented special multiplication commands, parallel accumulative multiplication at Harvard could allow wide use of modern digital signal processors for implementation of spline-recovery methods.

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Authors and Affiliations

  1. Department of Electronics Engineering, Hankuk University of Foreign Studies (Global Campus), Yongin, Korea (Republic of)

    Dhananjay Singh

  2. School of Technology Studies, Endicott College of International Studies, Woosong University, Daejeon, Korea (Republic of)

    Madhusudan Singh

  3. Head of Department of Information Technologies, Tashkent University of Information Technologies, Tashkent, Uzbekistan

    Zaynidinov Hakimjon

Authors
  1. Dhananjay Singh
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  2. Madhusudan Singh
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  3. Zaynidinov Hakimjon
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Correspondence to Dhananjay Singh .

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© 2019 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Singh, D., Singh, M., Hakimjon, Z. (2019). One-Dimensional Polynomial Splines for Cubic Splines. In: Signal Processing Applications Using Multidimensional Polynomial Splines. SpringerBriefs in Applied Sciences and Technology. Springer, Singapore. https://doi.org/10.1007/978-981-13-2239-6_3

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  • DOI: https://doi.org/10.1007/978-981-13-2239-6_3

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-2238-9

  • Online ISBN: 978-981-13-2239-6

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