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It is reported in the literature that electrical-field enhancements can appear in irregular deformed wave-guides. Using Maxwell's equations it is rather difficult to find analytical solutions for these arrangements. On the other hand, it is long been known that wave-guides can be approximated by systems of transmission line equations. In the paper we present this framework for studying cylindrical...
In this paper a novel nonlinear analysis and design approach for VCOs based on modeling the circuit in the higher-dimensional state space is presented. Using the center manifold theorem, we reduce the higher-dimensional system to a two dimensional parameter dependent nonlinear system that maintains the dynamics of the higher-dimensional system. By applying the Andronov-Hopf bifurcation analysis to...
This paper presents an approach to stability analysis of transfer systems with switched feedback. The analysis is based on a state space description which is utilized to express the properties of stable behaviour. Furthermore, a worst-case analysis is presented to calculate the maximum stable input signal and the maximum internal state values.
An analytical modeling approach for the CV-characteristics of inversion-mode MOS varactors that is based on the continuous EKV model equations is presented. Based on this approach it is possible to obtain an analytical expression for the effective large signal capacitance of varactors incorporated into a VCO and to calculate and optimize the resulting VCO tuning sensitivity KVCO. We present a simple...
This paper we discuss the concept of model reduction in statistical mechanics and interpret certain concepts of model reduction in this framework. Some examples illustrate our considerations.
In this paper a method for the reduction of linear networks with a large number of nonlinear elements is presented. In the standard approach the nonlinear elements are extracted from the linear part and the linear part is reduced. A large number of nonlinear elements leads to a large number of ports for the interconnection of linear and nonlinear network parts which is a strong limitation for the...
In this paper, a novel model for single-bit internal quantizer SigmaDelta-modulators is presented. It is shown that this model can be used for an exact stability prediction of these systems. Furthermore, it is explained how the necessary computations can be performed in a numerically efficient way by means of a mixed integer linear program (MILP).
It will seek the difficult problem of analysis of operating points of nonlinear electronic circuits, a novel methodical manner. In this work we describe the behavior of electrical circuits by a mixture of algebraic and differential equations. We show how to use a geometric interpretation and geometric algorithms to explicitly compute operation points for a special class of electronic circuits. We...
This work will present a method for the efficient description of independent sources in electrical networks for a model reduction. The number of ports of the model is reduced with the help of controlled sources and the resulting network is passive and reciprocal. The model is then reduced with model order reduction methods. The lower number of ports hereby allows for a higher reduction. Passivity...
This paper introduces an efficient description of electromagnetic macromodels that contain passive electrical elements and a large number of independent sources. This description allows for much higher order reduction than the standard description. In the proposed description the behavior at the pins of the model as well as the passivity are preserved. With model order reduction algorithms the proposed...
This paper addresses the order reduction of IC conducted emission models. These models are mathematically described by singular matrices of high order. Usually the order of the matrices can be reduced by the multipoint Krylov based order reduction. To achieve an even lower order we introduce a two step order reduction. The first step is the order reduction method based on the multipoint approximation...
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