Modeling Circuits With Arbitrary Topologies and Active Linear Multiports Using Wave Digital Filters
Modeling Circuits With Arbitrary Topologies and Active Linear Multiports Using Wave Digital Filters
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使用波形数字滤波器对具有任意拓扑和有源线性多端口的电路进行建模
DOI：
10.1109/tcsi.2018.2837912
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
A. Sarti
中科院分区：
文献类型：
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作者：
K. Werner;A. Bernardini;J. Smith;A. Sarti
波数字滤波器(WDF)技术从模拟原型中派生出数字滤波器，这些原型通常被限制在具有串/并联拓扑的无源电路中。由于大多数音频电路包含有源元件(例如运算放大器)和复杂的拓扑结构，因此WDF在虚拟模拟建模中的用途有限。在本文中，我们对WDF方法进行了扩展，以适应可能吸收线性多端口的无界非串/并结类。我们给出了四种基于修正节点分析的这些结的散射矩阵的推导，并使用带有电压波、功率波和电流波的参数波作为特例。三种导数提供了其乘法成本低于乘以散射矩阵的实现。在有源电路的WDF建模中，可能需要负端口电阻，从而将WDF限制为电压或电流波形。我们提出了两种定位这一限制的技术。对Baxandall音调电路和“频率助推器”吉他踏板的案例研究演示了所提出的技术的实际应用。
The wave digital filter (WDF) technique derives digital filters from analog prototypes that classically have been restricted to passive circuits with series/parallel topologies. Since most audio circuits contain active elements (e.g., op-amps) and complex topologies, WDFs have only had limited use in virtual analog modeling. In this paper, we extend the WDF approach to accommodate the unbounded class of non-series/parallel junctions which may absorb linear multiports. We present four modified-nodal-analysis-based scattering matrix derivations for these junctions, using parametric waves with voltage, power, and current waves as particular cases. Three derivations afford implementations whose cost in multiplies are lower than multiplying by the scattering matrix. Negative port resistances may be needed in WDF modeling of active circuits, restricting the WDF to voltage or current waves. We propose two techniques for localizing this restriction. Case studies on the Baxandall tone circuit and a “Frequency Booster” guitar pedal demonstrate the proposed techniques in action.