Design of oversampled nonuniform filter banks with arbitrary rational frequency partitioning
Design of oversampled nonuniform filter banks with arbitrary rational frequency partitioning
复制标题
具有任意合理频率划分的过采样非均匀滤波器组设计
DOI：
10.1007/s11760-016-1011-5
复制
发表时间：
2017
影响因子：
2.3
通讯作者：
Ye Long
中科院分区：
文献类型：
--
作者：
Zhong Wei;Fang Li;Zhang Qin;Ye Long
在过采样非均匀滤波器组的理论和设计中，已有的工作大多只考虑了具有整数抽取器的情况，到目前为止还没有讨论具有有理采样因子的问题。在本文中，我们推广了部分调制技术，以实现对具有很高线性相位(LP)特性的过采样NUFBs的任意有理频率划分。对于采样因子违反保护带限制的子带，提出了一种相位修正方案，避免了不可消除的大混叠现象，同时保持了移位分析/合成滤波器的线性预测特性。利用该方法可以将LP过采样NUFBs的设计问题归结为几个样机的设计问题，大大降低了设计的复杂性。算例表明，该算法对任意有理抽取具有较强的通用性，具有广阔的应用前景。
Among the theory and design of oversampled nonuniform filter banks (NUFBs), most of the existing works only consider the cases with integer decimators, and up to now the issue with rational sampling factors has not been discussed yet. In this paper, we generalize the partial modulation technique to realize arbitrary rational frequency partitioning of oversampled NUFBs with highly desired linear-phase (LP) property. Further for the subbands with sampling factors violating the guard band restriction, a phase-modification scheme is derived to avoid uneliminable large aliasing and meanwhile preserving the LP characteristics of shifted analysis/synthesis filters. By using the proposed method, the design issue of LP oversampled NUFBs can be reduced to that of several prototypes, decreasing the design complexity largely. As illustrated by examples, the proposed algorithm is more general in terms of arbitrary rational decimation and thus has broad application prospects.