补零对削减伪逆滤波畸变的影响

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

Reducing the distortion of the pseudo-inverse filter by the zeroize method

The inverse filter is a simple deconvolution algorithm which gives perfect performance when the raw data is noiseless, but is invalid when the system transfer function spectrum has zero points. The pseudo inverse filter is one of many methods to solve this problem. The pseudo inverse filter has the advantage of the inverse filter, but it can distort the result. The pseudo inverse filter with the zeroize method can be used to enlarge the amount of data in theory to improve numerical evaluation. It is found that the pseudo inverse filter can give perfect performance when the data is long enough and the number of zero points in the system transfer function spectrum is limited.