中文摘要：

该文基于快速卷积算法，提出一种适用于线性相位 FIR 滤波器的并行结构。该结构采用快速卷积算法减少子滤波器个数，同时让尽可能多的子滤波器具有对称系数，然后利用系数对称的特性减少子滤波器模块中的乘法器数量。对于具有对称系数的FIR滤波器，提出的并行结构能够比已有的并行FIR结构节省大量的硬件资源，尤其当滤波器的抽头数较大时效果更明显。具体地，对一个4并行144抽头的FIR滤波器，提出的结构比改进的快速FIR算法（Fast FIR Algorithm, FFA）结构节省36个乘法器（14.3%），23个加法器（6.6%）和35个延时单元（11.0%）。

英文摘要：

Based on fast convolution algorithm, improved parallel FIR filter structures are proposed for linear-phase FIR filters where the number of taps is a multiple of parallelism. The proposed parallel FIR structures not only use fast convolution algorithm to reduce the number of sub-filters, but also exploit the symmetric coefficients of linear-phase FIR filter to reduce half the number of multiplications in sub-filter section at the expense of additional adders in pre-processing and post-processing blocks. The proposed parallel FIR structures save a large amount of hardware cost for symmetric coefficients from the reported parallel FIR filter structures, especially when the length of the filter is large. Specifically, for a 4-parallel 144-tap filter, the proposed structure saves 36 multipliers （14.3%）, 23 adders （6.6%）, and 35 delay elements （11.0%） from the improved Fast FIR Algorithm （FFA） structure