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| A new weighted least-square location method for minimum-determined problem |
| Wan Qun; Peng Yingning |
| Dept. of Electronic Engineering Tsinghua University Beijing 100084 China |
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Abstract The problem of 2-dimensional location using measurement provided by 3 sensors is minimum-determined problem. The solution of geometric method is obtained by direct substitution of the measured quantities and could not use the statistical information of the range measurements. In this paper, a new weighted geometrical location method is proposed for minimum-determined problem by transforming the range measurement between two points into the range measurement between a point and a line which is a known function of the actual range measurement. The new method obtains the source location by solving a weighted least square problem and the statistical information of the range measurements is used. Simulation studies show that the new location method outperforms the geometrical location method by reducing the root mean square error for scenarios with small range measurement errors.
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Received: 27 June 2001
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2002, Vol. 24 
