Comparative Analysis of the Optimization Criteria of Greville's One-Parametric Interpolation Kernel

Authors

  • Nataša Savić College of Applied Technical Sciences Niš, Serbia
  • Zoran Milivojević College of Applied Technical Sciences Niš, Serbia
  • Dejan Blagojević College of Applied Technical Sciences Niš, Serbia
  • Darko Brodić Faculty of Engineering, Bor, University in Belgrade

Keywords:

Convolution, Interpolation kernel, Optimal value parameter

Abstract

First part of this paper describes Greville’s one-parametric interpolation kernel and provides its calculated spectral characteristics. Then it provides the calculation of optimal parametric values of Greville’s kernel a) by minimizing wiggles of spectral characteristics, b) by minimizing differences of the spectral characteristics in relation to kernel characteristics in the form sin(x)/x. Furthermore, this paper provides analytical form of the slope of spectral characteristics in boundary area. Second part of this paper describes an experiment in which the assessment of Greville’s algorithm efficiency in interpolation of audio signals (G tones played on piano) and speech signals (logatoms spoken in Serbian language) was performed. The results are presented in tables and graphs.

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Published

21.03.2023

Issue

Vol. 22 No. 1 (2016)

Section

Articles

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