Estimation of the frequency of a signal by means of interpolation with a quadratic convolution kernel

Authors

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

Keywords:

Interpolation, parametric convolution kernel, the frequency estimation

Abstract

In the first part of this paper the parametric quadratic convolution kernels were presented, i.e. Dodgson kernel and the proposed kernel. The analytical expressions for the position of the maximum interpolation function were determined. The second part of this paper represents the results of application of the convolution interpolation with the described parametric kernels in estimation of the frequency of the signal in the spectral domain. In addition to that the efficiency of the estimation of the frequency of the signal in case when AWGN was superimposed to the signal if SNR=0-50dB was analyzed. As a measure of successfulness of estimation the mean
square error was used. The analysis of the results shown both graphically and tabular determined the optimal value of the kernel parameter and the corresponding window function.

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Published

22.03.2023

Issue

Vol. 20 No. 1 (2014)

Section

Articles

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