伽利略搜救信号FOA和TOA估计的克拉美-罗界
doi: 10.3724/SP.J.1146.2011.00017
Cramer-Rao Bounds for FOA and TOA Estimation from Galileo Search and Rescue Signal
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摘要: 该文考虑信息位宽的不确定性,研究了单个伽利略搜救信号FOA(Frequency Of Arrival)和TOA(Time Of Arrival)估计的克拉美-罗界(CRB)。推导了伽利略搜救信号Fisher信息矩阵元素的计算表达式,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FOA和TOA估计的CRB的解析结果。数值分析,Monte Carlo仿真及实测结果表明,上述CRB具有有效性,可以用于评估上述参数估计算法的性能。
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关键词:
- 信号处理 /
- 克拉美-罗界(CRB) /
- FOA和TOA /
- 信息位宽 /
- 伽利略搜救信号
Abstract: Considering the uncertainty of message bit width, the Cramer-Rao Bounds (CRBs) for Frequency Of Arrival (FOA) and Time Of Arrival (TOA) estimation from single Galileo Search And Rescue (SAR) signal are researched. Calculation expressions for the elements of Fisher information matrix of Galileo SAR signal are acquired. When calculating the sum of the square of dirac delta function, the properties of dirac delta function and Parsevals theorem are used to transform the computation from time-domain to frequency-domain, and the closed-form analytical solution of CRBs for FOA and TOA estimation are derived. Numerical calculation, Monte Carlo simulation and measurement results validate the effectiveness of the CRBs above which can be used to evaluate the performance of estimation algorithm for the parameters above. -
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