In this paper,the estimation of coefficient functions in a varying-coefficients EV model are constructed by using kernel smoothing and generalized least square method.

For the important role of mathematical model in data processing of dynamic calibration and combining the experimental data of dynamically calibrating acceleration sensor test system based on the Hopkinson bar,a generalized least square method of dynamic model is introduced.

Based on the relation between synergetic learning algorithms and generalized inverses,all the algorithms for computing least square generalized inverses can be considered as synergetic learning algorithms,which enriches the variety of synergetic learning algorithms considerably.

This article discusses the technology of least squares and generalized least squares,and compare them at last.

Based on nonlinear error equations of adjustment functions model,and making use of the theory of generalized least squares,this paper gives a new adjustment model by parameters model with initial data error.

According to the characteristics of data collection,generalized least squares method was used to calibrate model.