摘要
针对常规超声波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.在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.针对常规Gauss-Newton迭代定位算法不易于在DSP(Digital Signal Processor,数字信号处理器)中实现的缺点,介绍了三种定位算法:改变目标函数的Gauss-Newton迭代定位算法、相交圆弦线方法和最小二乘估计算法.仿真研究表明,在相同的观测误差和定位基站的情况下,改进的和常规的Gauss-Newton迭代算法的定位精度相当,而相交圆弦线方法和最小二乘估计方法的定位精度较低,但后两种方法计算量小,不涉及开方和迭代运算,从而更易在DSP中实现.
In view of the deficiencies of the conventional ultrasonic location system, Quasi-GPS ultrasonic location system and its work principle are introduced. After the estimative distances between the object to be located and the Base-Stations are obtained, the Gauss-Newton iterative location algorithm is analyzed. Considering of the above algorithm is not appropriate to be realized in DSP （Digital Signal Processor）, three additional location algorithms are presented： the improved Gauss-Newton iterative algorithm, the intersectant circle chord, the least square estimation. It shows by simulation that the location precision of the improved and conventional Gauss-Newton algorithm is equivalent but the location precision of the two rear algorithms is baddish under the same condition, i. e. , the same measurement error and the same BaseStations for location. These two rear algorithms are easier to be realized in DSP because they need little calculation and they don＇t involve square-root and iterative operation.
出处
《传感技术学报》
CAS
CSCD
北大核心
2007年第3期698-702,共5页
Chinese Journal of Sensors and Actuators
