Potential Accuracy of Estimation of the Information Parameter of a Homodyne Laser Doppler Vibrometer Signal

Optical Information Technologies
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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.

Keywords

homodyne laser Doppler vibrometer signal modulation index lower bound of the estimate variance 

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References

  1. 1.
    Yu. F. Zastrogin, O. Yu. Zastrogin, and A. Z. Kulebyakin, Laser Devices for Vibration Control and Precise Positioning (Mashinostroenie, Moscow, 1995) [in Russian].Google Scholar
  2. 2.
    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).Google Scholar
  3. 3.
    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).CrossRefGoogle Scholar
  4. 4.
    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).Google Scholar
  5. 5.
    H. Cramer, Mathematical Methods of Statistics (Princeton, Princeton University Press, 1975).MATHGoogle Scholar
  6. 6.
    A. I. Perov, Statistical Theory of Radio Engineering Systems (Radiotekhnika, Moscow, 2003) [in Russian].Google Scholar
  7. 7.
    M. Born and E. Wolf, Principles of Optics (Pergamon Press, 1959) [in Russian].MATHGoogle Scholar
  8. 8.
    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)].Google Scholar
  9. 9.
    V. A. Grechikhin, “Potential Accuracy for Estimating the Signal Modulation Index with Harmonic Frequency Modulation,” Radiotekhnika, No. 1, 29–35 (2009).Google Scholar

Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Moscow Power Engineering Institute (National Research University)MoscowRussia

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