Proceedings ArticleDOI
Circuit Analysis and Optimization with Automatically Derived Volterra Kernels
Andreas Bauer,Wolfgang Schwarz +1 more
- pp 199-203
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TLDR
In this paper, the problem of symbolic analysis of nonlinear dynamical behavior in the design of analogue circuits and systems is addressed, where classical circuit and system level simulators rely on numerical simulations for that analysis, a symbolical method is considered here.Abstract:
The problem of the symbolic analysis of nonlinear dynamical behaviour in the design of analogue circuits and systems is addressed in this paper. Where classical circuit and system level simulators basically rely on numerical simulations for that analysis, a symbolical method is considered here. This method is based on the Volterra Series (VS). A short introduction on the use of VS in system analysis is given. An implementation of a symbolic system analysis tool in its first stages based on VS is described. Complexity and efficiency of the implemented methods are discussed. An example is given where the implemented analysis tool is used optimise a simple circuit. The results are verified with Spice. Finally, an outlook on the open problems of the current implementation is given.read more
Citations
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Journal ArticleDOI
Efficient Computation of Bilinear Approximations and Volterra Models of Nonlinear Systems
TL;DR: This paper develops efficient routines for CB and for computing the Volterra kernels of a bilinear system and argues that they are useful for studying a class of systems for which a reference physical model is known.
Journal Article
Towards a Volterra series representation from a Neural Network model
TL;DR: It is shown in this work how a Volterra model can be built using the parameters of the proposed Neural Network model, and a method for estimating theVolterra kernels using the Neural Network parameters and some simulation results is presented.
Journal ArticleDOI
Exploring the Dynamics of Real-World Memristors on the Basis of Circuit Theoretic Model Predictions
TL;DR: In this article, the authors use the Dynamic Route Map (DRM) tool to analyze some of the most reliable physics-based models of real-world resistance switching memories to reveal how a particular dynamic phenomenon, known as fading memory, and recently discovered in a tantalum oxide nonvolatile memristor device fabricated at Hewlett Packard Labs, is ubiquitous at nanoscale.
Book ChapterDOI
Memristor and Memristor Circuit Modelling Based on Methods of Nonlinear System Theory
TL;DR: In this manuscript a nonlinear system theory-based approach is introduced, based on the determination of nonlinear characteristic functions allowing the characterization of circuit properties to a high degree of accuracy, which may be used in an automated circuit design approach.
Proceedings ArticleDOI
The Composition Rule for Multivariate Volterra Operators and its Application to Circuit Analysis
TL;DR: A novel nonlinear generalization of the classical modified nodal analysis is introduced, namely the multilinear MNA, which allows to automatically extract the higher order frequency domain Volterra kernels of a weakly nonlinear analog circuit and just involves sparse matrix multiplications and Kronecker products.
References
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Studies on CMOS Digital-to-Analog Converters
TL;DR: In this article, the authors present an overview and study on digital-to-analog converters (DAC) mainly for communications applications and look at some digital subscriber line (DSL) specificatio...
Journal ArticleDOI
Efficient Computation of Bilinear Approximations and Volterra Models of Nonlinear Systems
TL;DR: This paper develops efficient routines for CB and for computing the Volterra kernels of a bilinear system and argues that they are useful for studying a class of systems for which a reference physical model is known.
Journal Article
Towards a Volterra series representation from a Neural Network model
TL;DR: It is shown in this work how a Volterra model can be built using the parameters of the proposed Neural Network model, and a method for estimating theVolterra kernels using the Neural Network parameters and some simulation results is presented.
Journal ArticleDOI
Exploring the Dynamics of Real-World Memristors on the Basis of Circuit Theoretic Model Predictions
TL;DR: In this article, the authors use the Dynamic Route Map (DRM) tool to analyze some of the most reliable physics-based models of real-world resistance switching memories to reveal how a particular dynamic phenomenon, known as fading memory, and recently discovered in a tantalum oxide nonvolatile memristor device fabricated at Hewlett Packard Labs, is ubiquitous at nanoscale.
Proceedings ArticleDOI
Hierarchical automatic behavioral model generation of nonlinear analog circuits based on nonlinear symbolic techniques
TL;DR: An extended method of automatic behavioral model generation for nonlinear analog circuits with a focus on a decrease of simulation time is presented, together with a new simplification method based on the recognition of physical transistor properties of the element models.