Abstract
This paper describes the analysis of the potential accuracy of estimation of the signal modulation index of a homodyne laser Doppler vibrometer with frequency modulation and known and unknown non-information parameters of the signal. The Rao — Cramer inequality is used to obtain expressions for calculating the lower bound of variance of the modulation index estimate and study its relationship with a signal/noise mixture. Recommendations on the choice of conditions for measuring the amplitude of vibro-displacement by the homodyne Doppler laser vibrometer are given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Yu. F. Zastrogin, O. Yu. Zastrogin, and A. Z. Kulebyakin, Laser Devices for Vibration Control and Precise Positioning (Mashinostroenie, Moscow, 1995) [in Russian].
V. A. Grechikhin, I. L. Raskovskaya, and B. S. Rinkevicius, “Effect of Acousto-Optic Effect on Measurement Errors of the Vibrational Velocity of Particles by a Laser Doppler Anemometer,” Avtometriya, No. 5, 92–101 (2000).
V. S. Sobolev and M. N. Prokopenko, “The Most Plausible Estimates of Frequency and Other Parameters of the Signals of Laser Doppler Measuring Systems Operating in a Single-Particle Scattering Regime,” Kvantovaya Elektronika 30 (12), 1109–1114 (2000).
V. S. Sobolev and Yu. A. Poleshchuk, “The Most Plausible Estimates of the Parameters of Optical Signals with Allowance for Shot Noise and Background Noise,” Komp’yuternaya Tekhnika, No. 30, 98–106 (2006).
H. Cramer, Mathematical Methods of Statistics (Princeton, Princeton University Press, 1975).
A. I. Perov, Statistical Theory of Radio Engineering Systems (Radiotekhnika, Moscow, 2003) [in Russian].
M. Born and E. Wolf, Principles of Optics (Pergamon Press, 1959) [in Russian].
V. S. Sobolev and G. A. Kashcheeva, “Potential Accuracy of Methods of Laser Doppler Anemometry in the Single-Particle Scattering Mode,” Avtometriya 53 (3), 74–80 (2017) [Optoelectron., Instrum. Data Process. 52 (6), 264–270 (2017)].
V. A. Grechikhin, “Potential Accuracy for Estimating the Signal Modulation Index with Harmonic Frequency Modulation,” Radiotekhnika, No. 1, 29–35 (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.A. Grechikhin, T.A. Khrennikova, 2018, published in Avtometriya, 2018, Vol. 54, No. 1, pp. 17–23.
About this article
Cite this article
Grechikhin, V.A., Khrennikova, T.A. Potential Accuracy of Estimation of the Information Parameter of a Homodyne Laser Doppler Vibrometer Signal. Optoelectron.Instrument.Proc. 54, 13–18 (2018). https://doi.org/10.3103/S875669901801003X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S875669901801003X