基于HAF-NM算法的PPS的极大似然参数估计  

Maximum likelihood parameter estimation of PPS using HAF-NM algorithms

作　　者：杨永红[1,2] 皮亦鸣[1] 田雨波[2] 

机构地区：[1]电子科技大学电子工程学院,四川成都610054 [2]江苏科技大学电子与信息学院,江苏镇江212003

出　　处：《电波科学学报》2008年第4期732-735,共4页Chinese Journal of Radio Science

基　　金：四川省青年科技基金资助(No.06ZQ026-006)

摘　　要：在加性高斯白噪声的背景下,建立了多项式相位信号的信号模型。在此基础上,推导了PPS极大似然参数估计的目标函数;给出了HAF与PPS相位系数之间的关系;阐述了Nelder-Mead单纯形数值优化算法的基本思想和实现步骤。仿真结果表明,当信噪比大于4dB时,三次PPS各阶相位系数的估计性能均达到CRLB的下界。HAF-NM单纯形算法具有计算量适中,估计性能良好等特点。Under additive Gaussian white noise environment, signal model of polynomial-phase signal is presented. The objective function of maximum likelihood parameter estimation is derived, and the relation of high ambiguity function and the PPS phase coefficient are worked out. The idea and procedure of the Nelder-Mead simplex algorithm are demonstrated. The simulations results show that the phase coefficient of the third PPS can attain Cramer-rao low bound when SNR is larger than 4dB, and the presented algorithm is of the modest amount of computations and favorable estimation property.

关 键 词：多项式相位信号 高阶模糊函数 Nelder-Mead单纯形算法 

分 类 号：TN91[电子电信—通信与信息系统]