Computing the steady-state response of large nonlinear circuits is becoming a key simulation requirement due to the rapid market growth of RF silicon integrated circuits. In this paper, we describe a nonlinear circuit reduction algorithm for finding the steady-state response. The proposed algorithm uses a congruent transformation-based technique to reduce the harmonic-balance equations into a m...

Phase multipliers are used in electronic equipment devices when it is not possible to connect a power source with the required number of phases. multipliers, which single-phase circuits for powering three-phase consumers, have received greatest application. From point view circuitry, simplest phases based on nonlinear LC circuits, high reliability and relatively small dimensions low medium powe...

We analyze the statistical behavior of signals in nonlinear circuits with delayed feedback in the presence of external Markovian noise. For the special class of circuits with intense phase mixing we develop an approach for the computation of the probability distributions and multitime correlation functions based on the random phase approximation. Both Gaussian and Kubo-Andersen models of extern...

DNA has proved to be an exquisite substrate to compute at the molecular scale. However, nonlinear computations (such as amplification, comparison or restoration of signals) remain costly in term of strands and are prone to leak. Kim et al. showed how competition for an enzymatic resource could be exploited in hybrid DNA/enzyme circuits to compute a powerful nonlinear primitive: the winner-take-...

Nonlinear signal processing is necessary in many emerging applications where form factor and power are at a premium. In order to make such complex computation feasible under these constraints, it is necessary to implement the signal processors as analog circuits. Since analog circuit design is largely based on a linear systems perspective, new tools are being introduced to circuit designers tha...

Analyzing the effect of crosstalk on delay is critical for high performance circuits. The major bottleneck in performing crosstalkinduced delay analysis is the high computational cost of simulating the coupled interconnect and the nonlinear drivers. In this work, we propose an efficient iterative algorithm that avoids time-consuming nonlinear driver simulations and performs node-specific crosst...

We propose the use of nonlinear electronic circuits to study synthetic gene regulation networks. Specifically, we have designed two electronic versions of a synthetic genetic clock, known as the “repressilator,” making use of appropriate electronic elements linked in the same way as the original biochemical system. We study the effects of coupling in a population of electronic repressilators, w...

This paper proposes robust simulation of piecewise linear systems as a tool for the analysis of nonlinear electronic circuits. Rather than computing the evolution of a single trajectory, robust simulation computes the evolution from a set of initial conditions in the state space, for all forcing input signals within a given class. We describe here a tool to perform this analysis using mathemati...

Early stages of sensory systems face the challenge of compressing information from numerous receptors onto a much smaller number of projection neurons, a so called communication bottleneck. To make more efficient use of limited bandwidth, compression may be achieved using predictive coding, whereby predictable, or redundant, components of the stimulus are removed. In the case of the retina, Sri...

Noise in dynamical systems is usually considered a nuisance. However, in certain nonlinear systems, including electronic circuits and biological sensory systems, the presence of noise can enhance the detection of weak signals. The phenomenon is termed stochastic resonance and is of great interest for electronic instrumentation. We review and investigate the stochastic resonance of several bista...