The Prony's method realisation in the presence of pulse noise

Andreev, M.; Drobakhin, O. O.; Lebedev, S. G.

doi:10.1109/mmet.2012.6331275

Cited by 9 publications

(5 citation statements)

References 1 publication

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“…The Prony method can filter the noise, which is important in the analysis of data that is acquired during the live experiment [12]. To test the method ability to recover the function from the noisy input data we used the test function with known amplitudes and frequencies.…”

Section: Study Of Method's Noise Immuintymentioning

confidence: 99%

Study of eigenfrequencies with the help of Prony’s method

Drobakhin

Olevskyi

Олевский

2017

AIP Conference Proceedings

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Section: Study Of Method's Noise Immuintymentioning

confidence: 99%

Study of eigenfrequencies with the help of Prony’s method

Drobakhin

Olevskyi

Олевский

2017

AIP Conference Proceedings

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“…Generally, β = 1 16 . This approach is considered to be a general approach to the problem of impulse noise filtering [22] and is known to work well when applied to the Prony's method [23].…”

Section: Point Skipping Approachmentioning

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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“…These values can sometimes increase already existent noise to the point where the useful data becomes indistinguishable. In the current work we used the method of filtration with evolutionary control [5], which is a generalization of the inverse filtering technique. Final formula can be represented as [2]  …”

Section: The Mathematical and Experimental Base Of Approachmentioning

confidence: 99%

“…Application of recognition technologies based on neural networks can provide additional possibilities for object discrimination [3]. Some sources of noise and distortion are uncontrolled [5]. This type of external influence is considered in this paper.…”

Section: Introductionmentioning

confidence: 99%

Improvement of resolution in aperture synthesis in near zone of radiation based on the application of the Prony’s method

Drobakhin

Olevskyi

2018

JPhysElectron

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Applicability of inverse filtering with evolution control for reconstruction of images obtained by aperture synthesis technique is considered. A horn antenna, which is moved in the transversal direction, is used in order to obtain a 2-dimensional image. Scanned structure consists of one or two similar metaplates. In the latter case the plates are coplanar and their common plane is parallel to the aperture of the antenna. Regularisation coefficients are found with the help of trial and error method. The image of a single plate was used to tune the software. The Prony’s method is tested as a separate way of estimation of the distance between the plates. Both methods are tested for a range of different distances between the plates and between the plates’ common plane and aperture of the antenna. It is shown that inverse filtration tends to provide better results if the scanned object is situated further from the antenna. Said method was proven to be precise enough to distinguish closely-spaced plates. The Prony’s method was proven to provide reliable distance measurements if it was tuned correctly.

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The Prony's method realisation in the presence of pulse noise

Cited by 9 publications

References 1 publication

Study of eigenfrequencies with the help of Prony’s method

Study of eigenfrequencies with the help of Prony’s method

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

Improvement of resolution in aperture synthesis in near zone of radiation based on the application of the Prony’s method

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