随机调制信号参数的统计Cramer-Rao下限及其最大似然估计  

Statistical Cramer-Rao lower bound and its maximum likelihood estimation of random modulated signal parameters

作　　者：刘振[1] 魏玺章[1] 黎湘[1] 

机构地区：[1]国防科学技术大学电子科学与工程学院空间电子信息技术研究所,湖南长沙410073

出　　处：《系统工程与电子技术》2012年第10期1980-1986,共7页Systems Engineering and Electronics

基　　金：国家自然科学基金(61171133);湖南省研究生创新基金(CX2011B019);国防科技大学优秀研究生创新(B110404)资助课题

摘　　要：随机跳频和随机脉冲重复间隔等随机调制信号的处理可以等价为随机调制信号中的参数估计问题。针对抽象的随机调制复正弦信号模型,借助Fisher信息矩阵推导了其复幅度和调制系数估计的Cramer-Rao下限并分析了其统计特性。求解了单个和多个随机调制复正弦信号的最大似然估计,利用"广义周期图"研究了其分辨及模糊性能,为后续的信号设计与处理提供了理论参考。计算机仿真实验验证了相关结论。The processing of both random frequency-hopping and random pulse repetition interval signals can be translated into the parameter estimation of random modulated signals. For random modulated complex sine wave （RMCSW） the Cramer-Rao lower bound of the complex amplitude and modulated coefficient is de- duced via a Fisher information matrix, and their statistic characteristics are analyzed. Then the maximum likeli- hood estimations of the parameters are calculated for single and multiple RMCSWs, the resolution and ambigui ty performances are researched via the generalized periodogram, which provides theoretic reference for the sub sequent signal design and processing. Some simulations are performed to verify the related conclusions.

关 键 词：随机调制信号 Cramer—Rao下限 最大似然估计 广义周期图 

分 类 号：TN958.2[电子电信—信号与信息处理]