Abstract
The methods currently used for frequency estimation do not provide accurate results as the obtained values depend on the acquisition time. To increase the estimates’ accuracy, the authors propose a pseudo-sinc function that is dependent on the acquisition time but better reflect the physical phenomenon. The paper provides a new interpolation method developed to take into account more maximizer, obtained by iteratively cropping the source signal. The maximizer obtained in this way corresponds to an asymmetric pseudo-sinc function, which does not coincide with the assumptions generated by the commonly used interpolation methods. The method of interpolation using the pseudo-sinc function, developed by the authors, has as a direct practical application, the detection of changes in the mechanical characteristics of the engineering structures.
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References
D. Belega, D. Dallet, D. Petri, Accuracy of sine wave frequency estimation by multipoint interpolated DFT approach. IEEE Trans. Instrum. Meas. 59(11), 2808–2815 (2010)
T. Grandke, Interpolation algorithms for discrete Fourier transforms of weighted signals. IEEE Trans. Instrum. Meas. 32, 350–355 (1983)
B.G. Quinn, Estimating frequency by interpolation using Fourier coefficients. IEEE Trans. Sig. Process. 42, 1264–1268 (1994)
V.K. Jain, W.L. Collins, D.C. Davis, High-accuracy analog measurements via interpolated FFT. IEEE Trans. Instrum. Meas. 28, 113–122 (1979)
K. Ding, C. Zheng, Z. Yang, Frequency estimation accuracy analysis and improvement of energy barycenter correction method for discrete spectrum. J. Mech. Eng. 46(5), 43–48 (2010)
P. Voglewede, Parabola approximation for peak determination. Glob. DSP Mag. 3(5), 13–17 (2004)
E. Jacobsen, P. Kootsookos, Fast, accurate frequency estimators. IEEE Sig. Process. Mag. 24(3), 123–125 (2007)
J.L. Ntakpe, G.R. Gillich, I.C. Mituletu, Z.I. Praisach, N. Gillich, An accurate frequency estimation algorithm with application in modal analysis. Rom. J. Acoust. Vib. 13(2), 98–103 (2016)
K. Duda, Interpolation algorithms of DFT for parameters estimation of sinusoidal and damped sinusoidal signals, in Fourier Transform-Signal Processing (2012), pp. 1–32
G.R. Gillich, P.F. Minda, Z.I. Praisach, A.A. Minda, Natural frequencies of damaged beams—a new approach. Rom. J. Acoust. Vib. 9(2), 101–108 (2012)
G.R. Gillich, A.A. Minda, Z.I. Korka, Precise estimation of the resonant frequencies of mechanical structures involving a pseudo-sinc based technique. J. Eng. Sci. Innov. 2(4), 37–48 (2017)
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Minda, A.A., Gillich, GR., Budai, AM., Gillich, N., Chioncel, C.P. (2021). Improving the Accuracy of Estimates of the Frequencies Based on a Pseudo-sinc Function. In: Herisanu, N., Marinca, V. (eds) Acoustics and Vibration of Mechanical Structures—AVMS 2019. Springer Proceedings in Physics, vol 251. Springer, Cham. https://doi.org/10.1007/978-3-030-54136-1_9
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DOI: https://doi.org/10.1007/978-3-030-54136-1_9
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