一种短基线条件下的时差定位解算方法

Solution of Time Difference Positioning Solution Based on Short Baseline

常见的时差定位求解算法都是围绕线性化双曲线方程进行的,在长基线情况下的定位精度较高,但共有的缺点是算法的计算量大,工程实现复杂。当时差估计精度较高时,在短基线情况下,利用渐近线在较远处非常接近双曲线,给出一种简单的时差定位解算方法,即双曲线渐近线最小二乘定位法(HA-LS)。推导算法的求解过程,并对其定位精度进行仿真,验证了该方法在较短基线情况下能得到比其它传统定位算法更好的定位精度,而且算法计算量小,工程实现简单。

All methods of solving time difference positioning problems usually adopt means which lin- earize the hyperbola equations that come from TDOAs. They have good precision when the baseline is long, but they have common defects of tremendous calculation and complex realization. When the TDOAs are very precise, a new simple method for positioning time difference based on short baseline is proposed, namely the hyperbola asymptote least square position method （HA-LS）. The core of this method is that the hyperbola asymptote equations are linear and asymptotes are very close to the hyperbola to certain extent. In this article the method is deduced in detail. Simulation results indi- cate that the proposed method have a better characteristic than the traditional methods at far field.