Paper
5 January 2004 Best linear unbiased filtering for target tracking with spherical measurements
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Abstract
In tracking applications, target dynamics is usually modeled in the Cartesian coordinates, while target measurements are directly available in the original sensor coordinates. Measurement conversion is widely used to do linearization such that the Kalman filter can be applied in the Cartesian coordinates. A number of improved measurement-conversion techniques have been proposed recently. However, they have fundamental limitations, resulting in performance degradation, as pointed out in Part III of a recent survey conducted by the authors. This paper proposes a recursive filter that is theoretically optimal in the sense of minimizing the mean-square error among all linear unbiased filters in the Cartesian coordinates. The proposed filter is free of the fundamental limitations of the measurement-conversion approach. Results of an approximate implementation for measurements in the spherical coordinates are compared with those obtained by two state-of-the-art conversion techniques. Simulation results are provided.
© (2004) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Zhanlue Zhao, X. Rong Li, and Vesselin P. Jilkov "Best linear unbiased filtering for target tracking with spherical measurements", Proc. SPIE 5204, Signal and Data Processing of Small Targets 2003, (5 January 2004); https://doi.org/10.1117/12.511168
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Cited by 4 scholarly publications.
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KEYWORDS
Error analysis

Filtering (signal processing)

Linear filtering

Spherical lenses

Digital filtering

Electronic filtering

Nonlinear filtering

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