Feature of Prony's method application for natural frequencies estimation from the frequency response

Andreev, M.; Drobakhin, O. O.

doi:10.1109/uwbusis.2016.7724143

Cited by 14 publications

(5 citation statements)

References 2 publications

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“…Prony's method application for natural frequencies estimation was investigated in [10]. In the present work, the calculations required by the Prony method were provided by the original software written in C++ programming language.…”

Section: Software Realization Of the Prony Methodsmentioning

confidence: 99%

Study of eigenfrequencies with the help of Prony’s method

Drobakhin

Olevskyi

Олевский

2017

AIP Conference Proceedings

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Section: Software Realization Of the Prony Methodsmentioning

confidence: 99%

Study of eigenfrequencies with the help of Prony’s method

Drobakhin

Olevskyi

Олевский

2017

AIP Conference Proceedings

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“…The measurement procedure involves placing the object at the desired point in space, carrying out measurements in the frequency band on a discrete grid, repeating the measurements the number of times specified by the program, applying median averaging, data transformation from the frequency domain to the time domain, moving the object to the next spatial position, repeating the measurements. Instead of the discrete Fourier transform, methods of parametric spectral analysis can be applied, in particular, Prony's method [25], and the maximum likelihood method [13] with increasing the order of the model, they have a higher level of resolution.…”

Section: Fig 2 Experimental Setupmentioning

confidence: 99%

Pulse diffraction by a circular dielectric cylinder

Tabatadze

Drobakhin

Karaçuha

2023

Journal of Electrical Engineering

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In this article, the periodic pulse diffraction from the circular dielectric object radiated by the horn antenna is investigated and experimental verification is provided. The pulse spectrum with Hamming weight function (Hamming window) form occupies the frequency band of 38 – 52 GHz. The problem is solved using the Method of Auxiliary Sources, and the results of the computer simulation are obtained. The fundamental advantage of the method is to eliminate the singularity problem during the solution of the integral equation obtained by boundary conditions on each scatterer. The comparison is done with the experimental data, which shows good agreement between the simulation outcomes and the experimental ones. The correctness of the determination of the electric size of the object by the analysis of the scattered pulse echo serves as the verification of the approach. The outcomes reveal that less than a 3% deviation is observed between numerical and experimental analysis.

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“…The radar images are usually processed with the help of Fourier transform or Fourier series, which may lead to difficulties during the calculation process [25]. The use of the Prony's method in the frequency domain is a known technique which can be used when the data peak does not correspond with the discrete Fourier transform grid [26]. The tested cross section had a dropout on one of the frequencies, which created the impulse of the exact type the method was developed for (fig.…”

Section: Testing On Real Datamentioning

confidence: 99%

Approaches for improvement of reliability of the Prony’s method computation

Drobakhin,

Olevskyi

2023

J. Phys.: Conf. Ser.

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Parametric spectral analysis methods such as the Prony’s method can estimate the frequencies and amplitudes of a signal, conforming to their model, with great precision. At the same time, the addition of noise to the signal can lead to a complete model breakdown which leads to erroneous parameter values. This is especially true for the impulse noise. The article explores several possible algorithms which can be applied to the Prony’s method in order to refine the results and make them more noise resistant. Such algorithms include signal segmentation methods where the results of each segment processing influence the final estimate as well as the conceptually related method of point skipping. An approach based on the use of non-Euclidean norms as a measure of the linear algebraic equation system’s solution quality is developed and tested. Initially, the methods are applied to model digital signals, comprised of harmonic components with varying complex frequencies and amplitudes. Additive white Gaussian and impulse noise is added to the model signals. The results are then applied to the noisy results of a real-life synthetic aperture synthesis experiment obtained in the intermediate zone of radiation.

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Feature of Prony's method application for natural frequencies estimation from the frequency response

Cited by 14 publications

References 2 publications

Study of eigenfrequencies with the help of Prony’s method

Study of eigenfrequencies with the help of Prony’s method

Pulse diffraction by a circular dielectric cylinder

Approaches for improvement of reliability of the Prony’s method computation

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