A multidimensional signal processing approach to Wave Digital Filters with topology-related delay-free loops
A multidimensional signal processing approach to Wave Digital Filters with topology-related delay-free loops
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具有拓扑相关无延迟环路的波形数字滤波器的多维信号处理方法
DOI：
10.1109/icassp.2014.6853624
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
A. Kummert
中科院分区：
文献类型：
--
作者：
Tim Schwerdtfeger;A. Kummert
为了避免出现不可计算、无延迟的循环，经典的波数字滤波器（WDF）通常呈现出树状拓扑。为了实现包含环状子网络的原型电路，先前的方法需要对结构进行分解，从而忽略了原始Wave Digital概念的模块化概念。本文提出了一种新的基于多维波数字滤波器（MDWDFs）的模块化方法。为此，示出了WDF的收缩性质。在此基础上，新的方法进行了研究，可能的副作用，并提出了适当的修改，抵消这些影响，显着提高收敛行为。
To avoid the occurrence of noncomputable, delay-free loops, classic Wave Digital Filters (WDFs) usually exhibit a tree-like topology. For the realization of prototype circuits that contain ring-like subnetworks, prior approaches require the decomposition of the structure and thus neglect the notion of modularity of the original Wave Digital concept. In this paper, a new modular approach based on Multidimensional Wave Digital Filters (MDWDFs) is presented. For this, the contractivity property of WDFs is shown. On that basis, the new approach is studied with respect to possible side-effects and an appropriate modification is proposed that counteracts these effects and significantly improves the convergence behaviour.