本文提供了一种逼近特定理想频率响应的综合二维递归数字滤波器的有效算法。这种算法是理想滤波器激励响应矩阵的特征值-特征矢量分解的代数方法和新近发展的信号增强方法的基础上发展起来的。这种方法产生的递归滤波器的单位冲激响应与理想滤波器的单位冲激响应非常接近。文章给出了实例并且与现有技术进行了比较。 This article provides an efficient approximation algorithm for a comprehensive two-dimensional recursive digital filter of a particular ideal frequency response. This algorithm is based on the eigenvalue of eigenfrequency filter response matrix, the algebraic method of eigenvector decomposition and the newly developed signal enhancement method. The unit impulse response of the recursive filter produced by this method is very close to the unit impulse response of the ideal filter. The article gives an example and compares with the prior art.