高阶FIR多带阻数字滤波器优化设计研究

研究了FIR线性相位滤波器的幅频特性与余弦基函数神经网络算法之间的关系,给出了FIR高阶多带阻数字滤波器的优化设计实例,提出并证明了神经网络算法的收敛性定理.仿真结果表明,算法不仅是有效的,而且在FIR高阶数字滤波器优化设计领域具有很大的优越性.且算法不涉及逆矩阵的计算,有效解决了国内外其它优化设计方法无法设计高阶FIR线性相位滤波器的问题.

Study on Optimal Design of High-order FIR Digital Filter with Multi-band Stop

The relationship between the amplitude-frequency response of type one FIR filter and the algorithm of neural network based on cosine basis functions is studied, and the optimal design example of the high-order FIR digital filter with multi-band stop is presented. The simulation result shows that the algorithm is not only efficient but also excellent in the field of optimal designs of the type one FIR digital filter. And the algorithm is free of the operation of inverse matrix. It solves the problem that one can not design high-order FIR filters by using other approaches.