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Metrology and Measurement Systems

The Journal of Committee on Metrology and Scientific Instrumentation of Polish Academy of Sciences

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Volume 21, Issue 3


Prony’s Method with Reduced Sampling - Numerical Aspects

Jarosław Zygarlicki
  • Opole University of Technology, Institute of Power Engineering, Prószkowska 76, 45-758 Opole, Poland (+48 77 40 00 547)
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/ Janusz Mroczka
  • Wroclaw University of Technology, Chair of Electronic and Photonic Metrology, Bolesława Prusa 53/55, 50-317 Wroclaw, Poland (+48 71 320 62 32)
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Published Online: 2014-08-21 | DOI: https://doi.org/10.2478/mms-2014-0044


This paper presents a new modification of the least-squares Prony’s method with reduced sampling, which allows for a significant reduction in the number of the analysed signal samples collected per unit time. The specific combination of non-uniform sampling with Prony’s method enables sampling of the analysed signals at virtually any average frequency, regardless of the Nyquist frequency, maintaining high accuracy in parameter estimation of sinusoidal signal components. This property allows using the method in measuring devices, such as for electric power quality testing equipped with low power signal processors, which in turn contributes to reducing complexity of these devices. This paper presents research on a method for selecting a sampling frequency and an analysis window length for the presented method, which provide maximum estimation accuracy for Prony’s model component parameters. This paper presents simulation tests performed in terms of the proposed method application for analysis of harmonics and interharmonics in electric power signals. Furthermore, the paper provides sensitivity analysis of the method, in terms of common interferences occurring in the actual measurement systems.

Keywords: Signal analysis; harmonic analysis; signal processing; power quality


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About the article

Received: 2014-04-15

Accepted: 2014-07-04

Published Online: 2014-08-21

Citation Information: Metrology and Measurement Systems, Volume 21, Issue 3, Pages 521–534, ISSN (Online) 2300-1941, DOI: https://doi.org/10.2478/mms-2014-0044.

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© 2014 Polish Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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Anna Khoma and Jarosław Zygarlicki
Metrology and Measurement Systems, 2015, Volume 22, Number 4

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