利用GM(1,1)模型预测曲线波形

Make use of the GM(1,1) Model Carries on Curve Wave Form Predicts

针对给出的函数y=f(x),x∈[a,b],将其值域进行n等分,设yi为其中任一分点,对应x=xi(i=1,2,…,m),用GM(1,1)模型对序列{x1,x2,…,xm}进行预测,得到曲线y=f(x)在下一段时间与直线y=yi的交点位置.当GM(1,1)模型的误差较大时,可利用带有残差修正的GM(1,1)模型进行残差修正,以提高GM(1,1)模型预测值的精确度.

Establish to have already given a function y = f（x） in the zone [a,b] picture, to divide its domain of value [c,d] into n parts, establish yi for among them a cent order, handing over the abscissa that it is curve y = f（x） with straight line y = yi of crossover point sit, use the GM （1,1） model to the sequence {x1,x2,…,xm} carry on the estimate, can get the curve y f（x） at under a period of time and straight line y = yi of crossover point position. At the same time at the error margin of the GM （1,1） model is bigger, also can make use of having the residual error correction GM（1,1） model to carry on residual error correction, thus can the accuracy of the GM（1,1） model raise at first.