Dynamic translinear (DTL) circuits use the exponential inputoutput relation of the transistor as a primitive for the synthesis of electronic circuits. As a consequence the analysis of the dynamic behaviour of this type of circuits in the presence of parasitics results in analyzing dynamic nonlinear circuits. There are three different approaches that can be applied: the linear time-invariant (LT...

The Lyapunov exponents associated with nonlinear electronic circuits are related to the earlier introduced dynamic eigenvalues.

Model order reduction is a mathematical technique to transform nonlinear dynamical models into smaller ones, that are easier to analyze. In this paper we demonstrate how model order reduction can be applied to nonlinear electronic circuits. First we give an introduction to this important topic. For linear time-invariant systems there exist already some well-known techniques, like Truncated Bala...

We consider the complexity of computing Boolean functions by analog circuits of bounded fan-in, i.e., by circuits of gates computing real-valued functions, either exactly or as sign-representation. Sharp upper bounds are obtained for the complexity of the most difficult n-variable function over certain bases (sign-representation by arithmetic circuits and exact computation by piecewise linear c...

-In this paper, a unified theory for frequency-domain simulation and sensitivity analysis of linear and nonlinear circuits is presented. An elegant derivation expands the harmonic balance technique from nonlinear simulation to nonlinear adjoint sensitivity analysis. This provides an efficient tool for the otherwise expensive but essential gradient calculations in design optimization. The hierar...

W e consider the complexity of computing Boolean functions b y analog circuits of bounded fan-in, i.e. b y circuits of gates computing real-valued functions, either exactly or as a sign-representation. Sharp upper bounds are obtained for the complexity of the most &@cult n-variable function over certain bases (signrepresentation by arithmetic circuits and exact computation b y piecewise linear ...

The increasing use of mixed signal circuits with analog and digital circuitry on the same lchip have created a set of demands that traditional circuit simuiators cannot meet very well. We pmsent techniques to efficiently handle the simulation of mixed signal analog/digital circuits, a d SYMPHONY , a fast mixed-signal simulator which embodies them. SYMPHONY combines a fast simulator for digital ...

Finding a circuit’s dc operating points is an essential step in its design and involves solving systems of nonlinear algebraic equations. Of particular research and practical interests are dc analysis and simulation of electronic circuits consisting of bipolar junction and fieldeffect transistors (BJTs and FETs), which are building blocks of modern electronic circuits. In this paper, we survey ...

The positivity and stability of a class of time-varying continuous-time linear systems and electrical circuits are addressed. Sufficient conditions for the positivity and asymptotic stability of the system are established. It is shown that there exists a large class of positive and asymptotically stable electrical circuits with time-varying parameters. The Lyapunov method is extended to positiv...

In this paper, a photonic crystal structure for comparing two bits has beenproposed. This structure includes four resonant rings and some nonlinear rods. Thenonlinear rods used inside the resonant rings were made of a doped glass whose linearand nonlinear refractive indices are 1.4 and 10-14 m2/W, respectively. Using Kerr effect,optical waves are guided toward the correc...