补零对削减伪逆滤波畸变的影响

• 作 者: 苗积臣 吴志芳
• 机 构: 清华大学核能技术设计研究院!501室北京100084,清华大学核能技术设计研究院!501室北京100084
• 出 处: 清华大学学报(自然科学版)
• 发表日期: 2000年12期
• 关键词: 卷积反演 逆滤波 伪逆滤波

逆滤波是一种比较简单的卷积反演方法 ,在小噪声的情况下其效果相当好。但是在系统冲击响应频谱有零点时逆滤波失效 ,为此有各种不同的改进方法 ,伪逆滤波是其中之一。伪逆滤波保留了逆滤波的优点 ,但是滤波结果有畸变。该文从理论上分析通过补零增加数据长度对伪逆滤波的结果的影响 ,并对结果进行数值模拟计算 ,与已有的算法进行比较 ,发现在数据长度足够长而冲击响应频谱零点有限时 ,伪逆滤波可取得较好的效果

Inverse filtering is a relatively simple method of convolution inversion, which works well for small noises. However, when the system impulse response spectrum has zero point, the inverse filter is invalidated. Therefore, there are various improved methods for this, and the pseudo-inverse filter is one of them. Pseudo-inverse filtering preserves the advantages of inverse filtering, but the filtering results are distorted. This paper theoretically analyzes the effect of increasing the length of data by zero-padding on the result of the pseudo-inverse filtering and compares the results with the existing algorithms. It is found that when the data length is long enough and the impact response spectrum has a finite zero point , Pseudo-inverse filtering can achieve better results