|
|||||
|
|
| 基于B样条函数的移不变双正交滤波器设计 | |
| 引用本文： | 牟光臣,范晓卫,李海涛.基于B样条函数的移不变双正交滤波器设计[J].河南师范大学学报(自然科学版),2009,37(4). |
| 作者姓名： | 牟光臣 范晓卫 李海涛 |
| 作者单位： | 1. 河南机电高等专科学校,电子通信工程系,河南,新乡,453002 2. 河南师范大学,物理与信息工程学院 河南 新乡,453007 3. 安阳市电子信息学校,河南,安阳,455000 |
| 摘 要： | 给出了1~7阶B样条半延迟算子的显式表达式,在B样条函数构造的半延迟算子和传统的双正交小波变换的基础上,构造了一种移不变双正交滤波器.针对4阶以上B样条函数构造的小波函数和尺度函数过程中出现的不可逆和不稳定问题,采用因子分解和逆序滤波的方法解决.以4阶B样条半延迟算子为例,给出移不变双正交滤波器的构造方法. |
| 关 键 词： | 移不变双正交滤波器 B样条函数 半延迟算子 Hilbert变换对 |
B-Spline Function Based Shift Invariant Bi-Orthogonal Filter Design |
|
| MU Guang-chen,FAN Xiao-wei,LI Hai-tao.B-Spline Function Based Shift Invariant Bi-Orthogonal Filter Design[J].Journal of Henan Normal University(Natural Science),2009,37(4). | |
| Authors: | MU Guang-chen FAN Xiao-wei LI Hai-tao |
| Abstract: | Explicit expressions of half delay operator including order 1 to 7 are presented.According to the B-spline based half delay operator,a class of shift invariant bi-orthogonal filter design method is formulated.Factor decomposition and inverse filtering methods are utilized to solve the non-inverse and instable problems existing in the wavelet function constructed from B-spline function whose order is equal to or greater than 4.An example of shift invariant bi-orthogonal filter is given to overcome the problem occurring in 4 order B-spline half delay operator. |
| Keywords: | shift invariant bi-orthogonal filter B-Spline function half delay operator Hilbert Transform pair |
| 本文献已被 万方数据 等数据库收录！ | |