摘要
讨论褶积模型参数估计问题.通过对数据的正交化得到了模型参数的递归算法.从理论上分析这种递归算法的收敛性,并得到一个判断正交化过程收敛性的充分条件,在此条件下递归算法必收敛到褶积模型中的子波A=(1,a1,…,aq).
The problem of the parametric estimation on a convolutional model is discussed. A recursive arithmetic of the model parameters is obtained by orthogonalizing data. The convergence of the recursive arithmetic is discussed, and a sufficient condition on the convergence is obtained. According to this condition, the recursive arithmetic has to converge to the wavelet A: (1, a1 ,…, aq) of the convolutional model.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2005年第4期633-637,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
重庆市科委应用基础研究资助项目(030826)
关键词
褶积模型
参数估计
递归算法
算子的范数
收敛性
convolution model
parameter estimation
recursive arithmetic
norm of operator
convergence