近场目标方位和距离估计的克拉美-罗界研究

包涛; 周德云; 李立欣; 胡楚锋

doi:10.11999/JEIT150578

近场目标方位和距离估计的克拉美-罗界研究

doi: 10.11999/JEIT150578

1.
(西北工业大学电子信息学院西安 710129) ②(西北工业大学无人机特种技术国家级重点实验室西安 710065)

基金项目:

国家自然科学基金(61201320)，中央高校基本科研业务费专项资金(3102014JCQ01052)，中国博士后科学基金面上项目(2014M552489)，上海航天科技创新基金(SAST201455)

计量
- 文章访问数: 1724
- HTML全文浏览量: 169
- PDF下载量: 570
- 被引次数: 0
出版历程
- 收稿日期: 2015-05-15
- 修回日期: 2015-11-20
- 刊出日期: 2016-03-19

Cramr-Rao Bound for Near-field Source Localization

1.
(School of Electronics and Information, Northwestern Polytechnical University, Xi&rsquo
2.
(National Key Laboratory of Science and Technology on UAV, Northwestern Polytechnical University, Xi&rsquo

Funds:

The National Natural Science Foundation of China (61201320), The Fundamental Research Funds for the Central Universities (3102014JCQ01052), China Postdoctoral Science Foundation (2014M552489), Shanghai Aerospace Science and Technology Innovation Fund (SAST201455)

摘要

摘要: 针对现有单源情况下近场目标定位的窄带克拉美-罗界(Cramr-Rao Bound, CRB)都是基于均匀直线阵模型，且没能全面分析其CRB的特性和具体的影响因素。该文首先推导了基于窄带模型的单源费雪信息矩阵，进而通过求舒尔补和雅克比变换，得到非均匀线阵条件下近场测距和测向的非矩阵形式的闭式CRB解析式。通过对该式从阵列相关因素(如阵列结构、阵列孔径等)和目标信号相关因素(如目标信号频率和信噪比等)两方面进行分析，揭示了影响目标角度和距离估计性能的物理因素，为后续阵列及信号的设计提供了理论指导。在最大孔径给定的情况下，可通过设计合理的阵元配置方式，实现最优的测距和测向效果。蒙特卡洛仿真结果验证了理论分析和上述结论的正确性。
- 信号处理 /
- 克拉美罗-界 /
- 角度和距离估计 /
- 近场 /
- 源定位 /
- 非均匀线阵 /
- 稀布率
Abstract: In view of the existing CRB (Cramr-Rao Bound) for near-field single source is based on the uniform linear array, and analyzes less fully the CRB's characteristics and the influence factors of specific. In this paper, non-matrix, closed-form expression of the deterministic CRB for the near-field narrow band model is deduced based on Fisher information matrix, Schur complement and Jacobi transform with non-uniform linear array. The behavior of the performance with respect to some features of interest are discussed, namely, the array geometry, the array aperture, the thinned factor, the target signal frequency and the signal to noise ratio. Through the reasonable array design scheme, the direction and range of the target are both estimated. The Monte-Carlo simulation results validate the effectiveness of the theoretical analysis and the conclusion.
- Signal processing /
- Cramr-Rao bound /
- Direction and range estimation /
- Near field /
- Source localization /
- Non-uniform linear array /
- Thinned factor

HTML全文

参考文献(14)

郑志东, 袁红刚, 张剑云, 等. 运动双基地MIMO雷达参数估计的克拉美罗界[J]. 电子与信息学报, 2014, 36(11): 2678-2683. doi: 10.3724/SP.J.1146.2013.01895.

ZHENG Zhidong, YUAN Honggang, ZHANG Jianyun, et al. Cramr-Rao bounds for estimating parameter in the moving bistatic MIMO radar[J]. Journal of Electronics Information Technology, 2014, 36(11): 2678-2683. doi: 10.3724/SP.J.1146.2013.01895.

方庆园, 韩勇, 金铭, 等. 基于噪声子空间特征值重构的DOA估计算法[J]. 电子与信息学报, 2014, 36(12): 2876-2881. doi: 10.3724/SP.J.1146.2013.02014.

FANG Qingyuan, HAN Yong, JIN Ming, et al. DOA estimation based on eigenvalue reconstruction of noise subspace[J]. Journal of Electronics Information Technology, 2014, 36(12): 2876-2881. doi: 10.3724/SP.J.1146.2013.02014.

HAARDT M, PESAVENTO M, ROEMER F, et al. Subspace Methods and Exploitation of Special Array Structures, Electronic Reference in Signal Processing: Array and Statistical Signal Processing[M]. Vol. 3, Academic Press Library in Signal Processing. PL: Elsevier Ltd., 2014: 651-717. doi: 10.1016/B978-0-12-411597-2.00015-1.

ZHANG X, EL KORSO M N, and PESAVENTO M. On the asymptotic resolvability of far-field stochastic sources[C]. Proceedings of the 20th European Signal Processing Conference (EUSIPCO), Bucharest, 2012: 889-893.

GROSICKI E, ABED MERAIM K, and HUA Y. A weighted linear prediction method for near-field source localization[J]. IEEE Transactions on Signal Processing, 2005, 53(10): 3651-3660. doi: 10.1109/TSP.2005.855100.

DELMAS J P and GAZZAH H. CRB analysis of near-field source localization using uniform circular arrays[C]. Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Vancouver, 2013: 3396-3400. doi: 10.1109/ICASSP.2013. 6638409.

BEGRICHE Y, THAMERI M, and ABEDMERAIM K. Exact Cramr Rao bound for near field source localization[C]. Proceedings of the 11th IEEE International Conference on Information Science, Signal Processing and their Applications (ISSPA), Montreal, 2012: 718-721. doi: 10.1109/ISSPA.2012.6310646.

曾雄飞, 孙贵青, 黄海宁. 水下目标方位估计的克拉美罗界研究[J]. 电子与信息学报, 2013, 35(1): 92-98. doi: 10.3724/ SP.J.1146.2011.01224.

ZENG Xiongfei, SUN Guiqing, and HUANG Haining.

Cramr-Rao bound of position estimation for underwater source[J]. Journal of Electronics Information Technology, 2013, 35(1): 92-98. doi: 10.3724/SP.J.1146.2011.01224.

EL KORSO M N, BOYER R, RENAUX A, et al. Nonmatrix closed-form expressions of the Cramr-Rao bounds for near-field localization parameters[C]. Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Taipei, 2009: 3277-3280. doi: 10.1109/ICASSP.2009.4960324.

KAY S M. Fundamentals of Statistical Signal Processing: Estimation Theory[M]. N J, Prentice Hall, 1993, Vol. 1: 147-169.

施引文献

资源附件(0)

访问统计