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伽利略搜救信号关键参数估计的克拉美—罗界

王堃 吴嗣亮 田静

电子学报2011,Vol.39Issue(12):2761-2767,7.
电子学报2011,Vol.39Issue(12):2761-2767,7.

伽利略搜救信号关键参数估计的克拉美—罗界

Cramer-Rao Bounds of Key Parameters Estimation for Galileo SAR Signal

王堃 1吴嗣亮 1田静1

作者信息

  • 1. 北京理工大学雷达技术研究所,北京100081
  • 折叠

摘要

Abstract

Considering the uncertainty of message bit width, the Cramer-Rao Bounds (CRBs) for the estimation of message bit width,frequency of arrival (FOA) and time of arrival (TOA) from Galileo search and rescue (SAR) signal were researched. General formula for calculating the elements of Fisher information matrix was derived first.Then the calculation expressions for the Fisher matrix elements of Galileo SAR signal were acquired. 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. Then the closed-form analytical solutions of the CRBs for the estimation of message bit width, FOA and TOA were derived. Numerical calculation and Monte Carlo simulation results validate the effectiveness of the CRBs above which can be used to evaluate the performance of message bit width,FOA and TOA estimation algorithm.

关键词

克拉美—罗界(CRB)/信息位宽/FOA和TOA/伽利略搜救信号

Key words

Cramer-Rao Bound (CRB)/message bit width/ FOA and TOA/Galileo SAR signal

分类

信息技术与安全科学

引用本文复制引用

王堃,吴嗣亮,田静..伽利略搜救信号关键参数估计的克拉美—罗界[J].电子学报,2011,39(12):2761-2767,7.

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