全相位DFT数字滤波器的一种等价结构

An Equivalent Structure of The AII Phase DFT Digital Filter

本文根据[1]中提出的全相位DFT数字滤波器的理论,导出了一种新型的频域网络结构。对于相同长度和频率响应的滤波器,该结构与[1]中的方案滤波效果相同,但运算量只有[1]的一半,硬件实现简单。由于可以直接得到梯度向量,因此可应用于自适应滤波领域,实验证明,它比传统的频域自适应滤波器具有更好的性能。

This paper brings about a new type of direct frequency domain network structure, based on the theory of all phase DFT digital filter, which is proposed by [1]. This structure not only has the same effect as the structure advanced by [1], but has the half of computational amount compared by the old one as well, so its hardware implementation is much simple. Another advantage of the structure is that the gradient vector can be obtained directly. So it can be used in adaptive filtering. Experiments demonstrated that this type of adaptive filter has better features than the conventional frequency domain adaptive filters.