Low-Complexity and High-Modularity Structure for Implementing Transient-Free Pascal-Delay Filter
Low-Complexity and High-Modularity Structure for Implementing Transient-Free Pascal-Delay Filter
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DOI：
10.1109/tsp.2017.2750117
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发表时间：
2017-12
影响因子：
5.4
通讯作者：
Parinya Soontornwong;T. Deng;S. Chivapreecha
中科院分区：
文献类型：
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作者：
Parinya Soontornwong;T. Deng;S. Chivapreecha
利用离散帕斯卡变换（DPT）和基于DPT的帕斯卡多项式插值，可以得到最大平坦可变延迟（VD）数字滤波器。在本文中，我们开发了一个有效的结构，低复杂度和高模块化的实现这种Pascal型VD滤波器。与其它现有的滤波器结构相比，这种新结构大大减少了滤波过程中所需的乘法运算。粗略地说，所提出的新结构可以减少几乎三分之一的乘法运算。因此，这种新的滤波器结构具有最低的滤波器复杂度在所有现有的滤波器结构的最大平坦VD滤波器的实现。结果，通过利用这种新的滤波器结构，可以有效地执行信号内插。相对于其他现有的结构与瞬态问题，我们将表明，建议的新结构不涉及任何瞬态问题。也就是说，它是一个无瞬变的结构。因此，所提出的新的滤波器结构可以实现更准确的信号插值结果比其他结构的瞬态问题。最后，我们表明，该结构也具有较高的模块化，它是适合于模块化的硬件实现。
The maximally flat variable-delay (VD) digital filter can be derived by using the discrete-Pascal-transform (DPT) and the DPT-based Pascal-polynomial interpolation. In this paper, we develop an efficient structure for the low-complexity and high-modularity implementation of this Pascal-type VD filter. As compared to other existing filter structures, this new structure greatly reduces the multiplication operations required in the filtering process. Roughly speaking, the proposed new structure can reduce the multiplication operations by almost one-third. Thus, this new filter structure has the lowest filter complexity among all the existing filter structures for the implementation of the maximally flat VD filter. As a result, signal interpolation can be efficiently performed through utilizing this new filter structure. As opposed to other existing structure with transient problem, we will show that the proposed new structure does not involve any transient problem. That is, it is a transient-free structure. Consequently, the proposed new filter structure can achieve more accurate signal-interpolation results than other structures that have the transient problem. Finally, we show that this proposed structure also has high modularity and it is suited for modularized hardware implementation.