中文摘要：

首先给出Laguerre网络，然后详述了Laguerre滤波器结构和极点估计方法以及滤波器系数的计算方法，接着设计了最优Laguerre滤波器，在Laguerre滤波器与理想滤波器的频率响应存在最小均方误差的前提下，估算滤波器参数和系数以获得最优滤波器；对传统FIR滤渡器和Laguerre滤波器的低通、高通、带通和带阻的频率响应作了详细的比较，得出运用Laguerre网络实现的滤波器有较小的滤波器长度、合适的线性相位和较少的通阻带波纹。

英文摘要：

This paper achieved the function of the filter via Laguerre network. This approach is performed by evaluating the Laguerre parameter and coefficients when the mean-square-error between the frequency response of the desired filter and its corresponding Laguerre network frequency reponse is minimum. In this article, We analyzed and compared the optimum Laguerre ideal low-pass,band-pass, high-pass, and band-reject filters with the corresponding conventional FIR filters,showing the filter which engaged Laguerre network had the small length and appropriate linear phase,with lower ripples in stop-band and pass-band compared to the conventional FIR filters. The problem with Laguerre filter design is the complexity of computations. This complexity is reduced by introducing a lemma.