论文:2019,Vol:37,Issue(5):871-877
引用本文:
杜金香, 张本茂. 基于TOA的水下目标定位算法克拉美罗界[J]. 西北工业大学学报
DU Jinxiang, ZHANG Benmao. Cramér-Rao Lower Bound of Target Localization Method Based on TOA Measurements[J]. Northwestern polytechnical university

基于TOA的水下目标定位算法克拉美罗界
杜金香1, 张本茂2
1. 西北工业大学 航海学院, 陕西 西安 710072;
2. 中国电子科技集团公司 第二十八研究所, 江苏 南京 210007
摘要:
对基于到达时间估计的水下主动目标定位方法的定位误差克拉美罗界进行了分析,针对现有误差分析过程中时间测量误差假设不适用于非合作目标情况的问题,提出了时间测量误差可变的定位误差分析方法,推导了时间测量误差随目标位置变化时定位误差的克拉美罗下界,并进行了计算机蒙特卡罗仿真实验,结果表明经过修正后的克拉美罗下界整体上小于修正前克拉美罗下界,且在定位范围内,修正后克拉美罗下界的分布变化趋势与蒙特卡罗统计实验的定位方差分布变化趋势更加相符。
关键词:    目标定位    克拉美罗界    到达时间估计   
Cramér-Rao Lower Bound of Target Localization Method Based on TOA Measurements
DU Jinxiang1, ZHANG Benmao2
1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China;
2. The 28 th Research Institute of China Electronic Technology Corporation, Nanjing 210007, China
Abstract:
The Cramér-Rao bound of target localization method based on time-of-arrival measurements is analyzed. For the localization error analysis, the CRLB is derived under the assumptions that the measurement errors are independent and characterized by zero-mean Gaussian distributed process with identical variance, which is not satisfied in the situation of localizing noncooperative targets. Cramér-Rao bound is deduced by using the fact that the variances of TOA measurements of different sensors are affected by the signal-to-noise ratio of the echo signal and are different from each other. Simulations of Monte Carlo experiments are carried out so as to verify the analytical results.
Key words:    target localization    Cramér-Rao lower bound    TOA measurements   
收稿日期: 2018-09-20     修回日期:
DOI: 10.1051/jnwpu/20193750871
基金项目: 国家科学自然基金(61301197)、水下信息与控制国家重点实验室开放基金(614221801040217)与中央高校基本科研业务费专项资金(1069920140011)资助
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作者简介: 杜金香(1977-),女,西北工业大学副教授,主要从事阵列信号处理及目标定位研究。
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