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We present a novel framework for developing Wave Digital Filter (WDF) models from reference circuits with multiple/multiport nonlinearities. Collecting all nonlinearities into a vector at the root of a WDF tree bypasses the traditional WDF limitation to a single nonlinearity. The resulting system has a complicated scattering relationship between the nonlinearity ports and the ports of the rest of the (linear) circuit, which can be solved by a Modified-Nodal-Analysis-derived method. For computability reasons, the scattering and vector nonlinearity must be solved jointly; we suggest a derivative of the K-method. This novel framework significantly expands the class of appropriate WDF reference circuits. A case study on a clipping stage from the Big Muff Pi distortion pedal involves both a transistor and a diode pair. Since it is intractable with standard WDF methods, its successful simulation demonstrates the usefulness of the novel framework.
|Title of host publication||Proceedings of the 18th International Conference on Digital Audio Effects|
|Editors||Peter Svensson, Ulf Kristiansen|
|Place of Publication||Trondheim, Norway|
|Number of pages||8|
|Publication status||Published - 30 Nov 2015|
|Event||18th International Conference on Digital Audio Effects (DAFx-15) - Norwegian University of Science and Technology, Trondheim, Norway|
Duration: 30 Nov 2015 → 03 Dec 2015
|Conference||18th International Conference on Digital Audio Effects (DAFx-15)|
|Period||30/11/2015 → 03/12/2015|
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