相干激光雷达中最大似然离散谱峰值估计及Monte Carlo仿真

贾晓东; 孙东松

doi:doi:10.11884/hplpb201527.061013

强激光与粒子束, 2015, 27 (6): 061013, 网络出版: 2015-06-17

相干激光雷达中最大似然离散谱峰值估计及Monte Carlo仿真

Maximum likelihood discrete spectral peak estimation in coherent wind lidar and Monte Carlo simulation

论文大纲

贾晓东 ^*孙东松

作者单位

中国科学技术大学地球和空间科学学院, 合肥 230026

摘要

相干测风激光雷达中一个核心的问题是从微弱的气溶胶后向散射信号中估计出风速.基于零均值复高斯随机过程协方差矩阵统计模型的后向散射信号,首先讨论了最大似然(ML)离散谱峰值(DSP)风速估计算法的克拉美-罗下界(CRLB)与由Fisher信息矩阵论得到的精确CRLB之间的关系.其次,对于ML DSP估计应用于相干测风激光雷达中协方差矩阵统计模型的后向散射信号时,使用计算机Monte Carlo仿真的方法研究了风速估计的概率密度函数.分别讨论了信噪比、激光脉冲累积发数和发射激光脉冲宽度对ML DSP风速估计性能的影响.计算仿真结果表明:ML DSP风速估计的CRLB低于精确的CRLB;在信噪比为-20 dB,100发激光脉冲累积和信噪比为-30 dB,10 000发激光脉冲累积条件下,ML DSP风速估计中“坏”的估计值所占的比例都为0,“好”的估计值的标准差分别为0.62 m/s和0.50 m/s.

Abstract

Estimation of the wind velocity from weak aerosol backscattering signals is a key problem in the coherent wind lidar.The Cramer-Rao Lower Bound (CRLB) of the maximum likelihood (ML) discrete spectral peak (DSP) estimation is discussed based on the statistical model of the covariance matrix of zero mean complex Gaussian random process of the backscattering signal.The CRLBs of both the ML DSP and Fisher information matrix are compared.On the condition of the covariance matrix statistical model of the backscattering signals in coherent wind lidar,the performance of the ML DSP estimation is examined by employing the computer Monte Carlo simulations,and the probability density function of the estimations of the wind velocity is researched as well.The effects of signal-to-noise ratio,the accumulation number of the laser pulse as well as pulse width of the outgoing laser pulse on ML DSP wind velocity estimations are illustrated respectively.The calculation and simulation results show that,(1)The CRLB of the ML DSP estimation is lower than the exact CRLB from Fisher information matrix;(2)Both of the fractions of the "bad" estimations are 0,and the standard deviations of the “good” estimations are 0.62m/s and 0.50m/s,respectively,on the condition of the SNR of -20 dB and 100 laser pulses accumulation as well as on the condition of the SNR of -30dB and 10000 laser pulses accumulation.

参考文献

[1] Diao Weifeng,Zhang Xin,Liu Jiqiao,et al.All fiber pulsed coherent lidar development for wind profiles measurements in boundary layers [J].Chinese Optics Letters,2014,12:072801.

[2] Targ R,Kavaya M J,Huffaker R M,et al.Coherent lidar airborne windshear sensor:performance evaluation [J].Applied Optics,1991,30(15):2013-2026.

[3] Targ R,Steakley B C,Hawley J G,et al.Coherent lidar airborne wind sensor II:flight-test results at 2 and 10 μm [J].Applied Optics,1996,35(36):7117-7127.

[4] Friedrich K,Stephan R , Igor S.Characterization of aircraft wake vortices by 2-μm pulsed Doppler lidar [J].Journal of Atmospheric and Oceanic Technology,2004,21(2):194-206.

[5] Agnes D B,Guillaume C,Matthieu V,et al.Pulsed 1.5-μm LIDAR for axial aircraft wake vortex detection based on high-brightness large-Core fiber amplifier [J].IEEE Journal on Selected Topics in Quantum Electronics,2009,15(2):441-450.

[6] Saman S A.Performance of pulse-pair mehtod of Doppler estimation [J].IEEE Transactions on Aerospace and Electronic Systems,1998,34(2):520-531.

[7] 靳笑晗,汪岳峰,竹孝鹏,等.最大概似法在多普勒激光测风雷达中的应用研究[J].光学仪器,2012,34(5):28-33.(Jin Xiaohan,Wang Yuefeng,Zhuxiaopeng,et al.Performance of maximum likelihood estimators of Doppler frequency for coherent Doppler lidar .Optical Instruments,2012,34(5):28-33)

[8] Frehlich R.Performance of maximum likelihood estimators of mean power and Doppler velocity with a priori knowledge of spectral width [J].Journal of Atmospheric and Oceanic Technology,1999,16(11):1702-1709.

[9] Frehlich R ,Yadlowsky M J.Performance of mean-frequency estimators for Doppler radar and lidar [J].Journal of Atmospheric and Oceanic Technology,1994,11(5):1217-1230.

[10] Frehlich R.Cramer-Rao bound for Gaussian random processes and applications to radar processing of atmospheric signals [J].IEEE Transactions on Geoscience and Remote Sensing,1993,31(6):1123-1131.

[11] Levin M J.Power spectrum parameter estimation [J].IEEE Transactions on Information Theory,1964,11(1):100-107.

[12] Hardesty R M.Performance of a discrete spectral peak frequency estimator for Doppler wind velocity measurements [J].IEEE Transactions on Geoscience and Remote Sensing,1986,24(5):777-783.

[13] Rye B J,Hardesty R M.Discrete spectral peak estimation in incoherent backscatter heterodyne lidar.I:spectral accumulation and the Cramer-Rao lower bound [J].IEEE Transactions on Geoscience and Remote Sensing,1993,31(1):16-27.

[14] Rye B J,Hardesty R M.Discrete spectral peak estimation in incoherent backscatter heterodyne lidar.II:correlogram accumulation [J].IEEE Transactions on Geoscience and Remote Sensing,1993,31(1):28-35.

[15] Zrnic D S.Estimation of spectral moments for weather echoes [J].IEEE Transactions on Geoscience Electronics,1979,17(4):113-128.

[16] Rye B J Hardesty R M.Detection techniques for validating Doppler estimates in heterodyne lidar [J].Applied Optics,1997,36(9):1940-1951.

[17] Frehlich R.Simulation of coherent Doppler lidar performance in the weak-signal regime [J].Journal of Atmospheric and Oceanic Technology,1996,13(3):646-658.

[18] Kameyama S,Ando T,Asaka K,et al.Compact all-fiber pulsed coherent Doppler lidar system for wind sensing [J].Applied Optics,2007,46(11):1953-1962.

[19] Pearson G N,Roberts P J,Eacock J R,et al.Analysis of the performance of a coherent pulsed fiber lidar for aerosol backscatter applications [J].Applied Optics,2002,41(30):6442-6450.

[20] Zhu Xiaopeng,Liu Jiqiao,Bi Decang,et al.Development of all-solid coherent Doppler wind lidar [J].Chinese Optics Letters,2012,10:012801.

[21] Kavaya M J,Beyon J Y,Koch G J,et al.The Doppler aerosol wind (DAWN) airborne,wind-profiling coherent-detection lidar system:overview and preliminary flight results [J].Journal of Atmospheric and Oceanic Technology,2014,31(4):826-842.

[22] Reitebuch O,Lemmerz C,Nagel E,et al.The airborne demonstrator for the direct-detection Doppler wind lidar ALADIN on ADM-aeolus.Part I:instrument design and comparison to satellite instrument [J].Journal of Atmospheric and Oceanic Technology,2009,26(12):2501-2515.

[23] Oppenheim A V,Schafer R W,Buck J R.Discrete-time signal processing [M].2nd edition.New Jersey,USA:Prentice Hall,1998:731-738.

[24] Harry L V T.Detection,estimation,and modulation,Part I [M].New York,USA:John Wiley & Sons,2001:79-85.

[25] 余鸿铭,万敏,顾静良.数字信号处理器红外弱小目标搜索算法[J].强激光与粒子束,2012,24(8):1951-1955.(Yu Hongming,Wan Min,Gu Jingliang .Detection algorithm of infrared dim target based on digital signal processor .High Power Laser and Particle Beams,2012,24(8):1951-1955)

[26] 毛文宇,敬岚,乔卫民,等.兰州重离子加速器控制系统DSP组件设计[J].强激光与粒子束,2013,25(5):1251-1255.(Mao Wenyu,Jing Lan,Qiao Weimin,et al.Design of digital signal processing components platform in control system for Heavy Ion Research Facility in Lanzhou .High Power Laser and Particle Beams,2013,25(5):1251-1255)

[27] 王华英,于梦杰,刘飞飞,等.基于快速傅里叶变换的四种相位解包裹算法[J].强激光与粒子束,2013,25(5):1129-1133.(Wang Huaying,Yu Mengjie,Liu Feifei,et al.Four phase unwrapping algorithms based on fast Fourier transform .High Power Laser and Particle Beams,2013,25(5):1129-1133)

贾晓东, 孙东松. 相干激光雷达中最大似然离散谱峰值估计及Monte Carlo仿真[J]. 强激光与粒子束, 2015, 27(6): 061013. Jia Xiaodong, Sun Dongsong. Maximum likelihood discrete spectral peak estimation in coherent wind lidar and Monte Carlo simulation[J]. High Power Laser and Particle Beams, 2015, 27(6): 061013.

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