Two algorithms for estimating the period of a discrete signal
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| Natura: | Artículo científico |
| Lingua: | en |
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Universidad Nacional de Colombia
2014
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| _version_ | 1876458007183753216 |
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| author | J. D. Rairán |
| author_facet | J. D. Rairán |
| contents | Two algorithms for estimating the period of a discrete signal J. D. Rairán Ingeniería periodic functions Frequency estimation frequency measurement signal reconstruction power system monitoring In this paper, we present two algorithms for approximating a period given a discrete data set. These algorithms superimpose two consecutive sections of the data for several candidate periods. The first algorithm counts the number of shuffling points per candidate period, whereas the second algorithm computes a distance between points when sorted by time. The best candidate period maximizes the number of shuffling points in the first algorithm, whereas the second algorithm minimizes the distance between points. The experimental validation with noiseless data demonstrates that the relative error for the estimations is less than half of the sampling period and shows that this error does not depend on the harmonic content, as normally occurs with algorithms that estimate a period. The application of the algorithms demonstrates that they properly track the frequency of a power grid and accurately estimate the period of a Van der Pol oscillator, which serves to confirm their applicability to real-time problems. 2014 artículo científico 0120-5609 https://www.redalyc.org/articulo.oa?id=64332888010 en http://www.redalyc.org/revista.oa?id=643 Ingeniería e Investigación application/pdf Universidad Nacional de Colombia Ingeniería e Investigación (Colombia) Num.3 Vol.34 |
| format | Artículo científico |
| id | redalyc_64332888010 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | Two algorithms for estimating the period of a discrete signal J. D. Rairán Ingeniería periodic functions Frequency estimation frequency measurement signal reconstruction power system monitoring Two algorithms for estimating the period of a discrete signal J. D. Rairán Ingeniería periodic functions Frequency estimation frequency measurement signal reconstruction power system monitoring In this paper, we present two algorithms for approximating a period given a discrete data set. These algorithms superimpose two consecutive sections of the data for several candidate periods. The first algorithm counts the number of shuffling points per candidate period, whereas the second algorithm computes a distance between points when sorted by time. The best candidate period maximizes the number of shuffling points in the first algorithm, whereas the second algorithm minimizes the distance between points. The experimental validation with noiseless data demonstrates that the relative error for the estimations is less than half of the sampling period and shows that this error does not depend on the harmonic content, as normally occurs with algorithms that estimate a period. The application of the algorithms demonstrates that they properly track the frequency of a power grid and accurately estimate the period of a Van der Pol oscillator, which serves to confirm their applicability to real-time problems. 2014 artículo científico 0120-5609 https://www.redalyc.org/articulo.oa?id=64332888010 en http://www.redalyc.org/revista.oa?id=643 Ingeniería e Investigación application/pdf Universidad Nacional de Colombia Ingeniería e Investigación (Colombia) Num.3 Vol.34 |
| title | Two algorithms for estimating the period of a discrete signal |
| topic | Ingeniería periodic functions Frequency estimation frequency measurement signal reconstruction power system monitoring |
| url | https://www.redalyc.org/articulo.oa?id=64332888010 |