Prony’s Method with Reduced Sampling - Numerical Aspects
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 th...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2014-08-01
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| Series: | Metrology and Measurement Systems |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/mms.2014.21.issue-3/mms-2014-0044/mms-2014-0044.xml?format=INT |
| _version_ | 1818413420010012672 |
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| author | Zygarlicki Jarosław Mroczka Janusz |
| author_facet | Zygarlicki Jarosław Mroczka Janusz |
| author_sort | Zygarlicki Jarosław |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-14T11:02:55Z |
| format | Article |
| id | doaj.art-bdf9870b53564043bd9596da2de8eec1 |
| institution | Directory Open Access Journal |
| issn | 2300-1941 |
| language | English |
| last_indexed | 2024-12-14T11:02:55Z |
| publishDate | 2014-08-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Metrology and Measurement Systems |
| spelling | doaj.art-bdf9870b53564043bd9596da2de8eec12022-12-21T23:04:40ZengPolish Academy of SciencesMetrology and Measurement Systems2300-19412014-08-0121352153410.2478/mms-2014-0044mms-2014-0044Prony’s Method with Reduced Sampling - Numerical AspectsZygarlicki Jarosław0Mroczka Janusz1Opole University of Technology, Institute of Power Engineering, Prószkowska 76, 45-758 Opole, Poland (+48 77 40 00 547)Wroclaw University of Technology, Chair of Electronic and Photonic Metrology, Bolesława Prusa 53/55, 50-317 Wroclaw, Poland (+48 71 320 62 32)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.http://www.degruyter.com/view/j/mms.2014.21.issue-3/mms-2014-0044/mms-2014-0044.xml?format=INTSignal analysisharmonic analysissignal processingpower quality |
| spellingShingle | Zygarlicki Jarosław Mroczka Janusz Prony’s Method with Reduced Sampling - Numerical Aspects Metrology and Measurement Systems Signal analysis harmonic analysis signal processing power quality |
| title | Prony’s Method with Reduced Sampling - Numerical Aspects |
| title_full | Prony’s Method with Reduced Sampling - Numerical Aspects |
| title_fullStr | Prony’s Method with Reduced Sampling - Numerical Aspects |
| title_full_unstemmed | Prony’s Method with Reduced Sampling - Numerical Aspects |
| title_short | Prony’s Method with Reduced Sampling - Numerical Aspects |
| title_sort | prony s method with reduced sampling numerical aspects |
| topic | Signal analysis harmonic analysis signal processing power quality |
| url | http://www.degruyter.com/view/j/mms.2014.21.issue-3/mms-2014-0044/mms-2014-0044.xml?format=INT |
| work_keys_str_mv | AT zygarlickijarosław pronysmethodwithreducedsamplingnumericalaspects AT mroczkajanusz pronysmethodwithreducedsamplingnumericalaspects |