提升小波尺度自适应非线性预测算子构造方法

提出一种提升小波尺度自适应非线性预测算子的构造方法.通过相空间重构将剖分信号转换成训练样本,采用基于高斯核函数的支持向量回归机算法进行回归训练,给出所构造预测算子的结构,并说明基于高斯核函数实现最小均方误差原则的机理.通过仿真实验验证用所构建预测算子在故障诊断时具有较好的识别能力和较强的抗噪能力,在信号降噪时信噪比较高、效果良好.

Design of scale adaptive nonlinear prediction operator of lifting scheme based on SVR

A new method of the construction of scale adaptive nonlinear prediction operator was proposed.The split signal was translated into training sample by the reconstruction method of phase space.Support vector regression(SVR) with the gauss kernel was used to construct prediction operator.The construction of scale adaptive nonlinear prediction operator was given.And the reason for achieving minimize mean squared error(MMSE) was derived.The simulation result shows that this method has good recognition ability and noise immunity at fault diagnosis,and has better SNR at denoising.