The characteristics of the spectral estimates of the signal parameters of homodyne and heterodyne laser Doppler vibrometers, namely, the frequency deviation and the frequency modulation index with respect to the “instantaneous” spectrum, are investigated. Numerical modeling is used to obtain the dependence of the systematic error of the spectral estimates on the signal parameters and the processing algorithm. It is shown that, for the signal models considered, the wavelet-analysis algorithm gives the best estimation quality compared with the “instantaneous” spectrum method.
Similar content being viewed by others
References
B. S. Rinkevichius, Laser Flow Diagnostics [in Russian], Izd. MEI, Moscow (1990).
A. A. Borovkov, Mathematical Statistics. A Textbook [in Russian], Nauka, Moscow (1984).
A. N. Perov, Statistical Theory of Radio Engineering Systems: A Student Textbook [in Russian], Radiotekhnika, Moscow (2003).
F. F. Dedus et al., A Generalized Spectral-Analytical Method of Processing Data Matrices. Problems of Analysing Images and Pattern Recognition [in Russian], Mashinostroenie, Moscow (1999).
D. V. Vasiliev and A. V. Gapon, “Elements of the theory of solutions of inverse correlation problems,” Elektromag. Volny Elektron. Sistemy, No. 7, 30–39 (2009).
A. A. Kharkevich, Spectra and Analysis [in Russian], Knizhnyi Dom LIBROKOM, Moscow (2009).
S. L. Marple, Digital Spectral Analysis, Prentice-Hall, N. J. (1986).
S. Mallat, A Wavelet Tour of Signal Processing, Academic Press, N. Y. (1998).
V. A. Grechikhin, “Methods of estimating the Doppler frequency of signals of laser flow diagnostic systems,” Vestnik MEI, No. 5, 83–93 (2009).
V. A. Grechikhin et al., “The use of wavelet-analysis of signal models in laser Doppler anemometry,” Avtometriya, No. 5, 51–57 (2000).
V. A. Grechikhin and O. V. Makshanov, “Realization and estimation of the errors of the method of wavelet-analysis of a laser Doppler vibrometer signal,” in: Optical Methods of Investigating Flows: Proc. 10th Int. Conf., Izd. Dom MEI, Moscow (2009), pp. 280–283.
V. A. Grechikhin and B. S. Rinkevichius, “Hilbert transform for processing of laser Doppler vibrometer signals,” Optics and Lasers in Engineering, 30, 151–161 (1998).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izmeritel’naya Tekhnika, No. 9, pp. 37–42, September, 2010.
Rights and permissions
About this article
Cite this article
Grechikhin, V.A. Spectral estimates of the signal parameters of laser Doppler measuring systems. Meas Tech 53, 1021–1028 (2010). https://doi.org/10.1007/s11018-010-9613-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-010-9613-8