Evaluation of Covariance and Information Performance Measures for Dynamic Object Tracking

被引:1
作者
Yang, Chun [1 ]
Blasch, Erik [2 ]
Douville, Phil [2 ]
Kaplan, Lance [3 ]
Qiu, Di [1 ]
机构
[1] Sigtem Technol Inc, San Mateo, CA 94402 USA
[2] Air Force Res Lab, Wright Patterson AFB, OH 45433 USA
[3] US Army Res Lab, Adelphi, MD 20783 USA
来源
SIGNAL PROCESSING, SENSOR FUSION, AND TARGET RECOGNITION XIX | 2010年 / 7697卷
关键词
Target Tracking; Performance Evaluation; Covariance Matrix; Information Matrix; Performance Measures; Index Equivalence; Tracking Filter Design; Resource Management; SELECTION;
D O I
10.1117/12.849855
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In surveillance and reconnaissance applications, dynamic objects are dynamically followed by track filters with sequential measurements. There are two popular implementations of tracking filters: one is the covariance or Kalman filter and the other is the information filter. Evaluation of tracking filters is important in performance optimization not only for tracking filter design but also for resource management. Typically, the information matrix is the inverse of the covariance matrix. The covariance filter-based approaches attempt to minimize the covariance matrix-based scalar indexes whereas the information filter-based methods aim at maximizing the information matrix-based scalar indexes. Such scalar performance measures include the trace, determinant, norms (1-norm, 2-norm, infinite-norm, and Forbenius norm), and eigenstructure of the covariance matrix or the information matrix and their variants. One natural question to ask is if the scalar track filter performance measures applied to the covariance matrix are equivalent to those applied to the information matrix? In this paper we show most of the scalar performance indexes are equivalent yet some are not. As a result, the indexes if used improperly would provide an "optimized" solution but in the wrong sense relative to track accuracy. The simulation indicated that all the seven indexes were successful when applied to the covariance matrix. However, the failed indexes for the information filter include the trace and the four norms (as defined in MATLAB) of the information matrix. Nevertheless, the determinant and the properly selected eigenvalue of the information matrix were successful to select the optimal sensor update configuration. The evaluation analysis of track measures can serve as a guideline to determine the suitability of performance measures for tracking filter design and resource management.
引用
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页数:12
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