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Maximum likelihood estimates of signal parameters of laser Doppler systems

  • Analysis and Synthesis of Signals and Images
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Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

This paper presents a review of the state-of-the-art of methods for obtaining maximum likelihood estimates of signal parameters of Doppler lidars and laser Doppler anemometers.

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References

  1. V. A. Kotel’nikov, Theory of Potential Noise Immunity (Gosenergoizdat, Moscow — Leningrad, 1956) [in Russian].

    Google Scholar 

  2. V. I. Tikhonov, Statistical Radio Engineering (Sov. Radio, Moscow, 1966) [in Russian].

    Google Scholar 

  3. B. R. Levin, Theoretical Foundations of Statistical Radio Engineering, Vol. 2 (Sov. Radio, Moscow, 1968) [in Russian].

    Google Scholar 

  4. G. Van Tris, Theory of Detection, Estimation, and Modulation, Vol. 3 (Sov. Radio, Moscow, 1977) [in Russian].

    Google Scholar 

  5. R. J. Doviak and D. S. Zrnich, Dopler Radar and Weather Observations (Dover Publications, 2006).

    Google Scholar 

  6. R. G. Frehlich, M. J. Yadlowsky, “Performance of Mean-Frequency Estimators for Dopler Radar and Lidar,” J. Atmos. Oceanic Technol. 11(5), 1217–1230 (1994).

    Article  ADS  Google Scholar 

  7. R. G. Frehlich, “Cramer—Rao Bound for Gaussian Random Processes and Applications to Radar Processing of Atmospheric Signals,” IEEE Trans. Geosci. Remote Sensing 31(6), 1123–1131 (1993).

    Article  ADS  Google Scholar 

  8. E. S. Chornoboy, “Optimal Mean Vlocity Estimation Doppler Weather Radars,” IEEE Trans. Geosci. Remote Sensing 31(3), 575–586 (1993).

    Article  ADS  Google Scholar 

  9. L. M. Novak, N. E. Lindgren, “Maximum Likelihood Estimation of Spectral Parameters using Burst Waveforms,” in Proc. of the 16th Asilomar Conf. on Circutis, Systems, and Computers (IEEE Computer Society Press, New York, 1982), pp. 318–324.

    Google Scholar 

  10. V. S. Sobolev and F. A. Zhuravlev, “Maximum Likelihood Estimates of the Frequency of Signals of Laser Doppler Anemometers,” Radiotekhnika i Elektronika, No. 4, 322–330 (2014).

    Google Scholar 

  11. O. Besson, F. Galtier, “Estimation Particles Velocity from Laser me Asurements: Maximum Likelihood and Cramer-Rao Bounds,” IEEE Trans. Signal Process 44(12), 3056–3068 (1996).

    Article  ADS  Google Scholar 

  12. W.-Q. Shu, “Cramer-Rao Bound of Laser Dopler Anemometr,” IEEE Trans. Signal Process 50(6), 1770–1772 (2001).

    Google Scholar 

  13. V. A. Grechikhin, “Potential Accuracy of Estimating the Doppler Frequency of Laser Doppler Anemometer Signals,” Radiotekhnicheskie Tetradi, No. 40, 15–20 (2009).

    Google Scholar 

  14. J. Czarske, “Statistical Frequency Measuring Error of the Quadrature Demodulation Technique for Noisy Single-Tone Pulse Signals,” Meas. Sci. Technol. 12(5), 597–614 (2001).

    Article  ADS  Google Scholar 

  15. J. Zhou and X. Long, “Estimation of Parameters of a Laser Doppler Velocimeter and Their Cramer-Rao Lower Bounds,” Appl. Opt. 50(23), 4594–4603 (2011).

    Article  ADS  Google Scholar 

  16. G. Baral-Baron, E. Lahalle, G. Fleury, and J.-B. Schlotterbeck, “Signal Parameter Estimation Using Time-Frequency Representation for Laser Doppler Anemometry,” in 20th European Signal Processing Conference (EUSIPCO 2012), Bucharest, Romania, August, 27–31, 2012, pp. 2318–2322.

  17. V. S. Sobolev and A. A. Feshenko, “Accurate Cramer-Rao Bounds for a Laser Doppler Anemometer,” IEEE Trans. Instrum. Meas. 55(2), 659–664 (2006).

    Article  Google Scholar 

  18. O. Richoux, A. Legroot, and L. Lionet, “Laser Doppler Velocimetry for Joint Measurements of Acoustic and Mean Flow Velocities: LMS-Based Algoritm and CRB Calculation,” IEEE Trans. Instrum. Meas. 57(7), 1455–1464 (2008).

    Article  Google Scholar 

  19. Yu. G. Vasilenko, Yu. N. Dubnishchev, V. S. Sobolev, et al., Laser Doppler Velocimeters (Nauka, Novosibirsk, 1975) [in Russian].

    Google Scholar 

  20. V. P. Koronkevich, V. S. Sobolev, and Yu. N. Dubnishchev, Laser Interferometry (Nauka, Novosibirsk, 1983) [in Russian].

    Google Scholar 

  21. V. S. Sobolev, Optimal Estimates of Optical Signal Parameters (Izd. Sib. Otd. Ross. Akad. Nauk, Novosibirsk, 2011) [in Russian].

    Google Scholar 

  22. V. S. Sobolev and M. N. Prokopenko, “Maximum Likelihood Estimates of the Frequency and Other Parameters of Signals of Laser Doppler Measuring Systems Operating in the Single-Particle-Scattering Mode,” Kvant. Elektronika 30(12), 1109–1114 (2000).

    Article  ADS  Google Scholar 

  23. V. S. Sobolev, “Estimating the Frequency of Laser Doppler Anemometer Signals,” Avtometriya, No. 5, 108–115 (2000).

    Google Scholar 

  24. E. I. Kulikov, Estimation of Signal Parameter in the Presence of Interference (Sov. Radio, Moscow, 1968) [in Russian].

    Google Scholar 

  25. M. J. Levin, “Power Spectrum Parameter Estimation,” IEEE Trans. Inform. Theory IT-11(1), 100–107 (1965).

    Article  Google Scholar 

  26. I. N. Smalikho, Wind Sounding by Coherent Doppler Lidars, Abst. Doctor’s Dissertation (Tomsk, 2011).

    Google Scholar 

  27. V. A. Banakh and I. N. Smalikho, Coherent Doppler Wind Lidars in the Turbulent Atmosphere (Institute of Atmospheric Optics, 2013) [in Russian].

    Google Scholar 

  28. R. Frehlich and R. Sharman, “Maximum Likelihood Estimates of Vortex Parameters from Simulated Coherent Doppler Lidar Data,” J. Atmos. Oceanic Technol. 21(2), 117–130 (2005).

    Article  ADS  Google Scholar 

  29. Yu. N. Dubnishchev, Theory and Conversion of Signals in Optical Systems: Handbook (Lan’, St. Petersburg, 2011) [in Russian].

    Google Scholar 

  30. V. A. Grechikhin and D. A. Titov, “Quasioptimal Nonlinear Filtering of Laser Doppler Vibrometer Signals,” Avtometriya 50(5), 99–107 (2014) [Optoelectron., Instrum. Data Process. 50 (5), 511–518 (2014)].

    Google Scholar 

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Correspondence to V. S. Sobolev.

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Original Russian Text © V.S. Sobolev, S.A. Timokhin, 2014, published in Avtometriya, 2014, Vol. 50, No. 6, pp. 42–54.

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Sobolev, V.S., Timokhin, S.A. Maximum likelihood estimates of signal parameters of laser Doppler systems. Optoelectron.Instrument.Proc. 50, 566–576 (2014). https://doi.org/10.3103/S8756699014060041

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  • DOI: https://doi.org/10.3103/S8756699014060041

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