实际伽利略搜救信号参数估计的Cramer-Rao界  

Cramer-Rao Bounds for Parameters Estimation from Actual Galileo Search and Rescue Signal

作　　者：王堃[1] 侯建刚[1] 吴嗣亮[1] 马琳[1] 

机构地区：[1]北京理工大学雷达技术研究所,北京100081

出　　处：《北京理工大学学报》2011年第8期966-971,共6页Transactions of Beijing Institute of Technology

摘　　要：考虑调制不对称度和信息位宽的不确定度,研究了实际伽利略搜救信号信息位宽、到达频率(FOA)、到达时间(TOA)估计的Cramer-Rao界(CRB).推导了伽利略搜救信号Fisher信息矩阵中各元素的计算表达式,利用单位冲激函数的性质和Parseval定理,将单位冲激函数的平方和转换到频域进行计算,得到了信息位宽、FOA和TOA估计的CRB的解析结果.数值分析和Monte Carlo仿真结果表明,CRB具有有效性,可以用于评估上述参数估计算法的性能.Considering the asymmetry degree of modulation and the uncertainty of message bil width, the Cramer-Rao bounds （CRBs） of estimation for message bit width, frequency of arrival （FOA） and time of arrival （TOA） from actual Galileo search and rescue （SAR） signal were researched. Expressions to calculate the elements of Fisher information matrix of C-alileo SAR signal were derived. When calculating the sum of the square of Dirac delta function, the properties of Dirac delta function and Parseval＇s theorem were used to transform the computation from time-domain to frequency domain, and the closed-form analytical solution of CRBs were obtained. Numerical calculation and Monte Carlo simulation results validate the effectiveness of the CRBs above which can be used to evaluate the performance of estimation algorithm for the parameters of message bit width, frequency of arrival and time of arrival.

关 键 词：CRAMER-RAO界 信息位宽 调制不对称度 到达频率 到达时间 伽利略搜救信号 

分 类 号：TN911.6[电子电信—通信与信息系统]