可变带宽FIR低通滤波器设计和RAG算法系数综合

提出使用简化加法器图算法综合可变带宽FIR数字滤波器。首先使用谱参数的方法建立可变带宽、线性相位的FIR低通数字滤波器的系统函数，通过使用加权最小均方的方法，得到了滤波器系数的最优表达式。然后基于可变滤波器结构为定系数FIR子滤波器线性组合的特点，提出使用筒化加法器图算法综合其硬件结构。该算法生成一种能最大程度地利用系数之间共享特性的加法器流图，使用较少的加法器个数和加法次数实现系数相乘。最后设计实例证明了可变带宽的有效性和该算法的高效性。

The Design of Variable Bandwidth FIR Low Pass Filter and Synthesis Considering RAG Algorithm for A Coefficient

A reduced adder graph algorithm is proposed to synthesis the variable bandwidth FIR digital filter.Firstly,it is established that the system function of the variable bandwidth and linear-phase FIR low pass digital filter using the method of spectral parameter,and the method of weighted least-squared is used to calculate the optimal expression of the filter coefficients.Then based on the character the structure of variable digital filter is the linear combination of the fixed-coefficient FIR sub-filter,it is...