Wave Digital Modeling of Nonlinear 3-terminal Devices for Virtual Analog Applications

Bernardini, Alberto; Vergani, Alessio E.; Sarti, Augusto

doi:10.1007/s00034-019-01331-7

Cited by 15 publications

(18 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a further development, it is worth applying vector WDFs to the implementation of circuits with nonlinear multi-port elements [33]- [35], such as transistors or nonlinear amplifiers.…”

Section: Discussionmentioning

confidence: 99%

Vector Wave Digital Filters and Their Application to Circuits With Two-Port Elements

Bernardini

Maffezzoni

Sarti

2021

IEEE Trans. Circuits Syst. I

Self Cite

View full text Add to dashboard Cite

Wave Digital Filters (WDFs) turn circuits into networks of input-output relationships that can be computed in an explicit fashion. This is done through a linear port-wise mapping of Kirchhoff variables into pairs of incident-reflected waves introducing one scalar free parameter per port, called reference port resistance. Parameters are then used to eliminate the implicit equations relating wave variables, referred to as delay-free-loops. Unfortunately, this methodology can only be applied under strong linearity and topological conditions. This manuscript presents an extension of the WDF formalism involving a novel "crossport" vector definition of waves, whose reference resistance is a matrix of free parameters. This generalization greatly simplifies the WDF implementation of circuits with two-port elements, such as operational amplifiers. It allows us to derive wave-based descriptions of elements such as nullors, for which no scattering relation is available in the literature. Moreover, it enables a full adaptation of a wide class of two-port elements, thus avoiding the delay-free-loops that would otherwise form in traditional WDFs. This new formalism allows us to implement a wider range of circuits with two-port elements in a modular fashion, since the topology and the elements can be modeled independently.

show abstract

“…As a further development, it is worth applying vector WDFs to the implementation of circuits with nonlinear multi-port elements [33]- [35], such as transistors or nonlinear amplifiers.…”

Section: Discussionmentioning

confidence: 99%

Vector Wave Digital Filters and Their Application to Circuits With Two-Port Elements

Bernardini

Maffezzoni

Sarti

2021

IEEE Trans. Circuits Syst. I

Self Cite

View full text Add to dashboard Cite

show abstract

“…Chapter 6 presents the content of the article [11] submitted for publication and currently in peer review. It discusses an approach for modeling circuits containing arbitrary linear or nonlinear 3-terminal devices in the WD domain.…”

Section: Wave Digital Modeling Of Nonlinear 3-terminal Devices For VImentioning

confidence: 99%

Advances in Wave Digital Modeling of Linear and Nonlinear Systems: A Summary

Bernardini

2019

Special Topics in Information Technology

Self Cite

View full text Add to dashboard Cite

This brief summarizes some of the main research results that I obtained during the three years, ranging from November 2015 to October 2018, as a Ph.D. student at Politecnico di Milano under the supervision of Professor Augusto Sarti, and that are contained in my doctoral dissertation, entitled "Advances in Wave Digital Modeling of Linear and Nonlinear Systems". The thesis provides contributions to all the main aspects of Wave Digital (WD) modeling of lumped systems: it introduces generalized definitions of wave variables; it presents novel WD models of one-and multi-port linear and nonlinear circuit elements; it discusses systematic techniques for the WD implementation of arbitrary connection networks and it describes a novel iterative method for the implementation of circuits with multiple nonlinear elements. Though WD methods usually focus on the discrete-time implementation of analog audio circuits; the methodologies addressed in the thesis are general enough as to be applicable to whatever system that can be described by an equivalent electric circuit.

show abstract

“…Our procedure is applicable to any subcircuit admitting a port-wise decomposition. For electrical components that do not admit such a decomposition, in particular threeterminal devices, we introduce a simple solution based on the discussions of [48]. Our method has the advantage that it is applicable to general multiports and subcircuits, but also that it can significantly speed up the SPQR-algorithm when decomposing graph-theoretical abstractions of circuits with many subcircuits/multiports.…”

Section: Introductionmentioning

confidence: 99%

A Template-Based SPQR-Tree Decomposition of Electrical Circuits

Beattie¹,

Ochs²

2022

Preprint

View full text Add to dashboard Cite

<p>We report on a systematic procedure for the port-wise decomposition of electrical networks, which we refer to as the template-based approach. Our method exploits the SPQR-tree decomposition as an algorithmic procedure for decomposing a given circuit into a maximal set of one- and multiports. In particular, we provide a solution for representing subcircuits by suitable template graphs, such that they are encapsulated not decomposed/processed by the SPQR-algorithm. Contrary to current methods, our replacement graphs are not sophisticated but rather simple, which, in general, enhances the performance of the algorithm, when it comes to decomposing large electrical networks with multiports. Some electrical devices, such as transistors or op-amps, are commonly described in terms of their terminals rather than their ports. Thus, we cover the application of the template-based approach to three-terminal devices. Lastly, we discuss the advantages of the template-based SPQR-tree decomposition in the context of wave digital emulation.</p>

show abstract

Wave Digital Modeling of Nonlinear 3-terminal Devices for Virtual Analog Applications

Cited by 15 publications

References 30 publications

Vector Wave Digital Filters and Their Application to Circuits With Two-Port Elements

Vector Wave Digital Filters and Their Application to Circuits With Two-Port Elements

Advances in Wave Digital Modeling of Linear and Nonlinear Systems: A Summary

A Template-Based SPQR-Tree Decomposition of Electrical Circuits

Contact Info

Product

Resources

About