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

作　　者：ZHENG Gui-mei CHEN Bai-xiao YANG Ming-lei 

机构地区：[1]National Laboratory of Radar Signal Processing,Xidian University,Xi'an 710071,China

出　　处：《The Journal of China Universities of Posts and Telecommunications》2012年第3期107-113,共7页中国邮电高校学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (61001209);Chinese State Oceanic Administration’s Special Funds for Scientific Research on Public Cause (200905029);the Fundamental Research Funds for the Central Universities (JY10000902010);the Aeronautical Science Fund(20100181010)

摘　　要：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, which has been investigated in the existing research literature on the Cramér-Rao bounds （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.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, which has been investigated in the existing research literature on the Cramér-Rao bounds （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.

关 键 词：array signal processing polarization sensitive array CRB direction of arrival estimation frequency estimation 

分 类 号：TN820[电子电信—信息与通信工程] TN957.51