A general and explicit formulation for wave digital filters with multiple/multiport nonlinearities and complicated topologies
A general and explicit formulation for wave digital filters with multiple/multiport nonlinearities and complicated topologies
复制标题
具有多/多端口非线性和复杂拓扑的波形数字滤波器的通用且明确的公式
DOI：
10.1109/waspaa.2015.7336908
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
J. Abel
中科院分区：
文献类型：
--
作者：
K. Werner;Vaibhav Nangia;J. Smith;J. Abel
提出了一种通用的、显式的、新颖的多端口非线性波数字滤波器（WDF）公式。它面临的WDF结构（SPQR树）的图论观点与技术从非线性回路分辨率文献（K方法）和一种新的方法推导散射矩阵（WDF适配器）的任意复杂的拓扑结构。它适应任何数量的无记忆非线性与任何数量的端口，每个不需要简化的假设。介绍了Big Muff Pi失真踏板的第一个削波阶段的案例研究。该电路具有多重非线性、多端口非线性和复杂的拓扑结构，这对现有的WDF方法来说是一个棘手的问题。因此，该电路的成功仿真证明了我们的框架的新奇和鲁棒性。
A general, explicit, and novel formulation for Wave Digital Filters (WDFs) with multiple/multiport nonlinearities is presented. It confronts graph-theoretic views of WDF structures (SPQR tree) with techniques from the nonlinear loop resolution literature (the K method) and a novel method for deriving scattering matrices (WDF adaptors) of arbitrarily complex topologies. It accommodates any number of memoryless nonlinearities with any number of ports each without requiring simplifying assumptions. A case study on the first clipping stage of the Big Muff Pi distortion pedal is presented. This circuit, with its multiple nonlinearities, multiport nonlinearity, and complicated topology, poses an intractable problem for state-of-the-art WDF methods. Hence, successful simulation of this circuit demonstrates the novelty and robustness of our framework.