基于树状图的波形数字滤波器拓扑结构优化方法

In this paper, an optimizing methodology for wave digital filter (WDF) equivalent circuit was proposed. This binary tree based method can simplify simulation system and improve system performance on speed. The WDF with binary tree representation was provided with a clear and intuitive structure to solve the low expressing efficiency issue in traditional WDF topology. The shape of this tree can directly indicate essential information of WDF equivalent circuit, such as module parallelism and the longest path. Moreover, considering the port symmetry of the WDF adapter, an optimizing methodology was presented for WDF binary tree to reduce processing steps in each simulating cycle and improve the overall performance of simulation. The optimization results show that,the reflection step length can be reduced by 42.86%, while the incidence step length can be reduced by 38.9%, the total operation time can be reduced to 0.366 ms.