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Generalizing Root Variable Choice in Wave Digital Filters with Grouped Nonlinearities

机译:具有分组非线性的波动数字滤波器中的广义根变量选择

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摘要

Previous grouped-nonlinearity formulations for Wave Digital Filter (WDF) modeling of nonlinear audio circuits assumed that nonlinear (NL) devices with memoryless voltage–current characteristics were modeled as voltage-controlled current sources (VCCSs). These formulations cannot accommodate nonlinear devices whose equations cannot be written as NL VCCSs, and they cannot accommodate circuits with cutsets composed entirely of current sources (including NL VCCSs). In this paper we generalize independent and dependent variable choice at the root of WDF trees to accommodate both these cases, and review two graph theorems for avoiding forbidden cutsets and loops in general.
机译:先前用于非线性音频电路的波动数字滤波器(WDF)建模的分组非线性公式假定将具有无记忆电压-电流特性的非线性(NL)设备建模为压控电流源(VCCS)。这些公式不能容纳其方程不能写为NL VCCS的非线性设备,也不能容纳具有完全由电流源组成的割集的电路(包括NL VCCS)。在本文中,我们在WDF树的根部概括了自变量和因变量的选择,以适应这两种情况,并回顾了两个图定理,通常可以避免禁止的割集和循环。

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