Based on the convolution methods,this paper propose a new method to construct the accumulative generation operator.A data sequence called accumulative generation convolution sequence is constructed,which play the same role as accumulative generation operator.Through the single side Z-transform,the accumulative convolution sequence in the complex field is obtained,which is the expression of the accumulative generation operator in the frequency domain.The similar results of the inverse accumulative generation operator are also developed.Finally,we obtain two new points of view to interpret the mutually inversion relationships between the accumulating operator and the inverse accumulating generation operator.Finally,some real cases are demonstrated to verify the accuracy of the theoretical results and the effectiveness of the method.
关键词
灰色系统理论/灰色预测模型/微分方程/参数估计/Z变换
Key words
grey system theory/grey forecasting model/differential equation/parameter estimation/Z-transform