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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Druckformat: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v44.i9.40
pages 43-50

Modification of Prony's Method in the Problem of Determining the Parameters of Sinusoids

Alexander S. Apostolyuk
National Technical University of Ukraine "Kiev Polytechnical Institute", Kiev, Ukraine
Vladimir B. Larin
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine


A modification of Prony's method as applied to the problem of determining the parameters of sinusoids has been offered. On this basis, the appropriate algorithm of determining the estimates of parameters of sinusoids has been proposed. The proposed approach is less laborious since it is not related to the integration procedure of the system of differential equations. The efficiency of the presented algorithm has been shown by the examples.


  1. Mikhlin Yu.V., Mitrokhin S.G. , Nonlinear oscillatory processes in wheeled vehicles.

  2. Nikitina N.V. , Complex oscillations in systems subject to periodic perturbation.

  3. Hua Y., Sarkar T.K. , Matrix pencil method for estimating parameters of exponentially damped/ undamped sinusoids in noise.

  4. Frazho A.E., Yagci B., Sumali H. , On sinusoid estimation in nonstationary noise.

  5. Hou M. , Parameter identification of sinusoids.

  6. Apostolyuk A.S., Larin V.B. , On linear stationary system identification at regular and irregular measurements.

  7. Apostolyuk A.S., Larin V.B. , Measurement data handling in identification of mechanical systems.

  8. Larin V.B., Apostolyuk A.S. , Identification problem of linear stationary systems, Part I, Prony’s method.

  9. Larin V.B., Apostolyuk A.S. , Identification problems of linear stationary systems, Part II, Generalizations of Prony’s method.

  10. Larin V.B., Apostolyuk A.S., Identification of linear time-invariant systems.

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