基于完全信息的车速建模及Moore-Penrose广义逆求解

针对交通事故中的车速估计，提出了基于事故中的完全信息建立车速估计数学模型，摒弃传统的仅根据未知量个数建立方程组的方法，意在构造出方程个数多于未知量个数的不相容线性方程组，利用Moore-Penrose广义逆求解未知参数，使与事故车速关联的信息在车速估计中充分体现，从而减小模型误差和数据误差对事故车速估计结果的影响，获得车速的最优估计值。

A Vehicle Speed Model Based on Complete Information and its Solution by the Method of Moore-Penrose Generalized Matrix Inverse

To estimate the vehicle speed in traffic accident,this paper abandons the traditional methods that establish equations according to the number of unknown quantities,and a new method is put forward.In this method,a set of linear equations(may being inconsistent with each other though)are acquired from the complete information of accident,in which the number of equations is more than the number of unknowns usually,and a solution is obtained by using the method of Moore-Penrose generalized matrix inverse.In this way,all the information associated with vehicle speed in the accident is fully embodied and hence the influence of errors of model and data on the estimation of vehicle speed is minimized.As a result,an optimal estimate of vehicle speed in accident can be obtained.