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类GPS超声定位系统及其定位精度分析

Quasi-GPS ultrasonic ranging system and its location precision analysis

  • 摘要: 针对常规超声局部定位系统的缺陷,介绍了类GPS超声定位系统及其工作原理。通过多基站距离估计算法获得定位物体与观测基站的估计距离后,详细推导了Gauss-Newton迭代定位算法并对其定位精度作了分析。理论分析表明,定位物体的定位精度与物体在空间中的位置和基站的几何布局有关。若基站几何布局已定,为获得较高的定位精度,应根据物体所在空间中的不同位置选择定位基站。根据PDOP(平面位置精度因子)在定位空间中的分布图,给出了以三个及以上基站进行定位时的基站选择原则。最后通过仿真验证了上述分析的正确性。

     

    Abstract: In view of the deficiencies of conventional ultrasonic ranging systems,Quasi-GPS ultrasonic rang-ing system and its work principle are introduced.After the estimated distances between the object to be located and the base-stations are obtained with a multiple base-stations distance estimation algorithm,the Gauss-Newton iterative location algorithm and its location precision are analyzed.It is proved by theoretical analysis that the location precision is relevant to the object′s location and the geometrical layout of the base-stations.In order to obtain better location precision after the geometrical layout of the base-sta-tions has been decided,we should select different location base-stations according to the object′s location in ranging space.The location base-stations selection principle using three or more base-stations for location is presented based on the PDOP geometrical distributing figure.Simulation shows that the above analysis is reliable.

     

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