Prony’s Method with Reduced Sampling - Numerical Aspects

Zygarlicki, Jarosław; Mroczka, Janusz

doi:10.2478/mms-2014-0044

Cited by 18 publications

(7 citation statements)

References 21 publications

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“…The main disadvantage of the electrical method is the need to switch off the tested object under voltage during tests. However, the energy accompanying the current impulses of the partial discharge is emitted to the external environment in various forms [7][8][9][10][11]. Owing to measurements of physical quantities proportional to the occurrence of partial discharges, there is a possibility of indirect measurement of their level -they are called unconventional methods for measuring partial discharges.…”

Section: Unconventional Partial Discharges Measurement Methods and Ex...mentioning

confidence: 99%

Metrology and Measurement Systems

Konarski,

Węgierek

2020

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The article presents the assumptions, characteristics and description of the implementation of a pilot system for on-line monitoring of partial discharges in heads of the high-voltage cable lines. The main purpose of the implementation was to increase the reliability of cable line heads by equipping them with a system of continuous assessment of technical condition with direct transmission of measurement data and alarms to the SCADA system. In order to achieve the assumed goal, unconventional methods for measuring partial discharges were used, the application of which does not require disconnecting the line from the voltage. The implementation was carried out on an active 110 kV high voltage cable line in the area of activity of one of the Distribution System Operators.

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Section: Unconventional Partial Discharges Measurement Methods and Ex...mentioning

confidence: 99%

Metrology and Measurement Systems

Konarski,

Węgierek

2020

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“…Analysis of the fitted interferogram signal model (17) indicates that the dominant element for sections of envelope decay (outside the central section of the window) is the interferogram carrier. Therefore, the second-order Prony model is sufficient to determine its full phase.…”

Section: Implementation Of Prony Methods In the Field Of White Light Imentioning

confidence: 99%

Surface Topology Reconstruction From The White Light Interferogram By Means Of Prony Analysis

Хома

Zygarlicki

2015

Metrology and Measurement Systems

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The paper presents a new method of surface topology reconstruction from a white light interferogram. The method is based on interferogram modelling by complex exponents (Prony method). The compatibility of white light interferogram and Prony models has already been proven. Effectiveness of the method was tested by modelling and examining reconstruction of tilted and spherical surfaces, and by estimating the reconstruction accuracy.

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“…in following methods: the Prony, the Pisarenko, the Steiglitz-McBride, the Kumaresan-Tufts, the Matrix Pencil, etc. [2][3][4][5][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Metrology and Measurement Systems

Duda,

Zieliński

2021

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A new solution to the problem of frequency estimation of a single sinusoid embedded in the white Gaussian noise is presented. It exploits, approximately, only one signal cycle, and is based on the well-known 2nd order autoregressive difference equation into which a downsampling is introduced. The proposed method is a generalization of the linear prediction based Prony method for the case of a single undamped sinusoid. It is shown that, thanks to the proposed downsampling in the linear prediction signal model, the overall variance of the least squares solution of frequency estimation is decreased, when compared to the Prony method, and locally it is even close to the Cramér-Rao Lower Bound, which is a significant improvement. The frequency estimation variance of the proposed solution is comparable with, computationally more complex, the Matrix Pencil and the Steiglitz-McBride methods. It is shown that application of the proposed downsampling to the popular smart DFT frequency estimation method also significantly reduces the method variance and makes it even better than the least squares smart DFT. The noise immunity of the proposed solution is achieved simultaneously with the reduction of computational complexity at the cost of narrowing the range of measured frequencies, i.e. a sinusoidal signal must be sufficiently oversampled to apply the proposed downsampling in the autoregressive model. The case of 64 samples per period with downsampling up to 16, i.e. 1/4th of the cycle, is presented in detail, but other sampling scenarios, from 16 to 512 samples per period, are considered as well.

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Prony’s Method with Reduced Sampling - Numerical Aspects

Cited by 18 publications

References 21 publications

Metrology and Measurement Systems

Metrology and Measurement Systems

Surface Topology Reconstruction From The White Light Interferogram By Means Of Prony Analysis

Metrology and Measurement Systems

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