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LFM信号参数估计的牛顿迭代方法初始值研究
The Starting Point Problem of Parameters Estimation for LFM Signal Based on Newton’s Method
【摘要】 本文研究了LFM信号参数估计的牛顿迭代方法的初始值问题,用计算量较小的DPT算法得到LFM信号中心频率和调频系数的估计值,以此作为牛顿迭代的初始值.性能分析表明,在DPT算法信噪比门限以上时,用本算法得到的中心频率和调频系数的估计值在牛顿迭代所需收敛域范围之内,保证牛顿迭代的收敛性.仿真结果表明,在信噪比门限以上时,用本文提出的方法所得参数估计的均方根误差达到克拉美-罗限.本算法计算量小,有利于LFM信号参数估计的准实时处理.
【Abstract】 In this paper,the starting point problem of parameters estimation for LFM signal based on Newton’s method is investigated.The DPT algorithm is used to gain the estimated value of the coefficient of frequency modulation and the center frequency of the LFM signal,and the two estimation values are used as the starting point of Newton’s method.The performance analysis show that when signal-to-noise ratio(SNR) is greater than the SNR threshold of the DPT algorithm,the two estimations are in the range of the convergence region needed by Newton’s method.So it will guarantee the convergence of Newton’s method.The simulation results show that when SNR is greater than SNR threshold,the RMS error of the parameter estimations can reach the CRLB.The computational complexity of the algorithm proposed in this paper is low,and the algorithm is convenient for realizing quasi-real-time LFM signal processing.
【Key words】 LFM signal; parameter estimation; Newton’s method; maximum likelihood; Cramer-Rao lower bound(CRLB);
- 【文献出处】 电子学报 ,Acta Electronica Sinica , 编辑部邮箱 ,2009年03期
- 【分类号】TN911.23
- 【被引频次】30
- 【下载频次】395