2. Problem formulation
A multi-sensor dynamic system will be considered in this paper. This multi-sensor system includes infrared and laser detection systems to observe a target during the same period of time with different sampling rates. The measurements are obtained asynchronously at different scales, including azimuth angle αm and elevation angle βm acquired from infrared detection system with higher sampling rate at fine scale which is named scale 1, range rm acquired from laser detection system with lower sampling rate at coarse scale which is named scale 2. Generally, target dynamics are usually modeled in Cartesian coordinate, while the obtained measurements are available directly in spherical coordinates.
The sampling time of infrared/laser detection system are illustrated in Fig. 1. It’s assumed the target is detected by infrared and laser detection systems with sampling period T and t respectively. Meanwhile n is defined as the ratio of t to T. That is to say, the sampling period T of infrared sensor on scale 1 and the sampling period t of laser sensor on scale 2 meet the relationship.
equation(1)
t=nT
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Infrared/laser sampling illustration.
Fig. 1.
Infrared/laser sampling illustration.
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