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  4. Frequency adjustment method for the improvement of amplitude estimation in the parametric spectral analysis

Frequency adjustment method for the improvement of amplitude estimation in the parametric spectral analysis

MMC.
2025;
Volume 12, Number 2
: pp. 581–587
https://doi.org/10.23939/mmc2025.02.581
Received: September 21, 2024
Revised: June 09, 2025
Accepted: June 11, 2025

Drobakhin O. O., Olevskyi O. V.  Frequency adjustment method for the improvement of amplitude estimation in the parametric spectral analysis.  Mathematical Modeling and Computing. Vol. 12, No. 2, pp. 581–587 (2025)

Authors:
  1. O. O. Drobakhin
  2. O. V. Olevskyi
1
Oles Honchar Dnipro National University
2
Oles Honchar Dnipro National University

Paper proposes an approach for improving the complex amplitude parameter estimation in the standard parametric spectral analysis methods.  This approach allows to adjust the estimated complex normalized frequency values slightly aiming to improve the estimation of the amplitudes.  The method was tested for a mono-frequency signal and for a signal with 4 harmonic frequency components.  The test signal length was justified by testing the additive noise for attaining the appropriate probabilistic characteristics.  It was shown that proposed method can improve the estimation quality via the Prony's method drastically, letting it exceed the quality of the matrix pencil method in some cases.

parametric spectral analysis
Prony's method
matrix pencil method
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