期刊文献+

Levenberg-Marquardt算法在测风激光雷达中的应用 被引量:10

Application of Levenberg-Marquardt algorithm in the wind lidar
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摘要 分析了直接探测测风激光雷达中的Fabry-Perot标准具透过率的非线性理论模型。根据实验测量数据,利用Levenberg-Marquardt算法对理论模型进行参数优化估值,获得测量数据的最佳拟合曲线。数值计算表明,pseudo-Voigt函数能快速且很好地近似计算Voigt线形。对于Fabry-Perot标准具的宽带光透过率频谱响应曲线,可以采用Voigt函数拟合,也可以采用pseudo-Voigt函数拟合;当透过率频谱响应曲线用于风速反演时,若采用pseudo-Voigt函数拟合会造成低于1 m/s的测速偏差,因此必须采用Voigt函数拟合。 Nonlinear theoretical models of the Fabry-Perot etalon' s transmittance in the direct detection wind lidar are analyzed. With experimental datum, the models parameters are optimized with Levenberg-Marquardt algorithm, and for the best fitting curve of Fabry-Perot etalon transmittance. By numerical calculation, it is indicated that pseudo-Voigt function can approach approximated the Voigt profde well and quickly. Both Voigt function and pseudo-Voigt function can be used for fitting the responsive curve of Fabry-Perot etalon transmittance with pulsed laser. But Voigt function should be employed for fitting the Fabry-Perot etalon transmittance curve for the recovery wind velocity, if pseudo-Voigt function is employed, there will be a velocity error which is less than 1 m/s.
出处 《红外与激光工程》 EI CSCD 北大核心 2007年第4期500-504,共5页 Infrared and Laser Engineering
基金 中国科学院知识创新工程基金资助项目(Cx0201) 中国科学院百人计划基金资助项目(202032403130)
关键词 激光雷达 FABRY-PEROT标准具 Lorentz函数 Voigt函数 pseudo-Voigt函数 LEVENBERG-MARQUARDT算法 Lidar Fabry-Perot etalon Lorentz function Voigt function pseudo-Voigt function Levenberg-Marquardt algorithm
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参考文献9

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二级参考文献6

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