Cramér-Rao bound for multiple parameters estimation using a polarization sensitive array

doi:10.1016/S1005-8885(11)60272-0

Acta Metallurgica Sinica(English letters) ›› 2012, Vol. 19 ›› Issue (3): 107-113.doi: 10.1016/S1005-8885(11)60272-0

Cramér-Rao bound for multiple parameters estimation using a polarization sensitive array

郑桂妹,陈伯孝,杨明磊

National Laboratory of Radar Signal Processing, Xidian University

收稿日期:2011-09-27 修回日期:2012-03-15 出版日期:2012-06-30 发布日期:2012-06-08
通讯作者: 郑桂妹 E-mail:zheng-gm@163.com
基金资助:
国家自然科学基金;中央高校基本科研业务费专项资金;航空科学基金;国家海洋局公益性科研专项

Cramér-Rao bound for multiple parameters estimation using a polarization sensitive array

National Laboratory of Radar Signal Processing, Xidian University

Received:2011-09-27 Revised:2012-03-15 Online:2012-06-30 Published:2012-06-08
Contact: Guimei Zheng E-mail:zheng-gm@163.com
Supported by:
;the Aeronautical Science Fund;Chinese State Oceanic Administration’s Special Funds for Scientific Research on Public Cause

摘要/Abstract

摘要：

本文基于极化敏感阵列的信号模型，推导多入射信号的载频、到达角和极化参量估计的克拉美罗界。与已有资料推导的单载频克拉美罗界不同，本文信号模型是建立在多载频的基础上。首先建立多载频极化敏感阵列的信号模型，其次用经典方法推导出克拉美罗界，最后得到多信号多参量的闭式克拉美罗界，该克拉美罗界适用于任意阵列。通过实例的仿真结果得到：多信号多参量的估计精度与信噪比和快拍数成正比例变化；参量的估计精度受采样频率的影响并不明显；参量的估计精度均与入射信号的初始相位无关；这些结论在工程实践中对参数估计的系统设计是有益的。

关键词:

array signal processing, polarization sensitive array, CRB, direction of arrival estimation, frequency estimation

Abstract:

In this paper, new Cramér-Rao lower bounds (CRB) of the estimates of frequencies, two dimensional arrival angles and polarization parameters of multiple incident signals are derived for a polarization sensitive array. The incident sources have distinct carrier-frequencies, in contrast to the modeling of all sources to be at the same known carrier-frequency, as has been investigated in the existing research literature on the CRB for polarization sensitive direction finding. The derived CRBs are compact closed-form expressions and applicable to an arbitrary array geometry. Numerical examples and analysis of some special cases provide insights into the fact that the estimation accuracy of all parameters is enhanced with the increasing signal-to-noise ratio (SNR) and number of snapshots. In addition, they are hardly influenced by the sampling frequency and independent of the initial phase of incident sources. These insights offer guidelines to the system engineer on how to improve parameters’ estimation accuracy.

Key words:

array signal processing, polarization sensitive array, CRB, direction of arrival estimation, frequency estimation

中图分类号:

TN958

参考文献

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Cramér-Rao bound for multiple parameters estimation using a polarization sensitive array

Cramér-Rao bound for multiple parameters estimation using a polarization sensitive array

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