小波变换的动态灰色模型研究

Research on Dynamic Grey Model of Wavelet Transform

利用小波变化的频带分离技术和消噪技术,可以获取真实的变形量。灰色理论模型可以解决信息缺乏的不确定性问题,但是无法优化含噪声、非平稳的信号,模型预测容易受到外界的误差干扰。本文研究将灰色模型与小波变换结合在一起进行数据预测,预测过程中加入动态信息,将灰色模型转换为动态灰色模型,提高预测精度。结合变形监测工程案例验证。结果显示,小波变换下的动态灰色模型,预测精度更高。

Using the wavelet transform of the frequency band separation technology and denoising technology,we can get the real deformation.The grey theory model can solve the problem of the lack of information,but it can not optimize the signal with noise and non-stationary.In this paper,the grey model and wavelet transform are combined to predict the data,and the dynamic information is added into the forecasting process.Case study of deformation monitoring.The results show that the dynamic gray model is more accurate than the wavelet transform.