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中文摘要：
通过对二维FIR线性相位滤波器的幅频响应特性的分析，提出了一种用并行神经网络算法来设计二维FIR线性相位数字滤波器的新方法，其主要思想是使幅频响应误差函教最小化．该方法避免了矩阵的求逆运算。而且因为采用了并行算法，能快速获得滤波器系数．给出了二雏FIR圃对称线性相位低通数字滤波器优化设计实例．计算机仿真结果表明由该方法设计的二雏数字滤波器，通带和阻带范围波动小，所需计算量非常少，稳定性强．
英文摘要：
A new approach for the design of two-dimensional （2-D） finite-impulse response （FIR） linearphase digital filters is presented based on a parallel neural networks algorithm （PNNA） by analyzing the characteristics of 2-D FIR linear-phase filters, its main idea is to minimize the amplitude-frequency response error function. The method avoids matrix inversion, and makes a very fast calculation of the filter＇s coefficients possible because of the utilization of parallel algorithm. Optimal design example of 2-D FIR circularly-symmetric linearphase lowpass filters are given, and the results show that the ripple in passband and stopband is much small, and the PNNA-based method is of strong stability and requires considerably little amount of computations.
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