Accurate transfer function estimation of linear, noise-free, dynamic systems is an easy task for SigLabTM. Often, however, the system being analyzed is noisy or not perfectly linear. All realworld systems suffer from these deficiencies to some degree, but control systems are usually the worst offenders. Obtaining an accurate transfer function estimation from a noisy and nonlinear system require...

A genetic algorithm technique for the approximation of nonlinear transfer functions is proposed in this paper. It is shown that the GA approximation method gives better accuracy than the classical Chebyshev approximation, which is sometimes considered to be the best one on the minimax criterion. Application of this technique to behavioral-level simulation is also discussed. Keywords– genetic al...

Measurement of the average values input and output powers a device can give insight into transfer function (TF) that device, but this approach usually hides real impact certain propagation phenomena. However, to best our knowledge, measurements TF nonlinear optical loop mirrors (NOLMs) have always been carried out using approach, which may lead underestimating dispersive effects. Here, we prese...

It was theoretically shown that impedance-like effects, called retroactivity, in biomolecular circuits can significantly impact the behavior of a system. In this paper, we quantify the effect of retroactivity on the transfer function of a phosphorylation system after linearization of its nonlinear model about a steady state. Our analysis shows that retroactivity shifts the poles of the transfer...

The mainstream for the analysis and synthesis of nonlinear control systems is the so-called state space approach. The Laplace transform of a nonlinear differential equation is non tracktable and any transfer function approach was not developed until recently. Herein, we show that one may use such mathematical tools to recast and solve the model matching problem. Note that the latter was origina...

We analyze the ability of nonlinear image restoration to remove interference artifacts in microscopes that enlarge the axial optical bandwidth through coherent counterpropagating waves. We calculate the images of an elaborate test object as produced by confocal, standing-wave, incoherent illumination interference image interference, and 4Pi confocal microscopes, and we subsequently investigate ...

We demonstrate for the first time, to the best of our knowledge, that a Sagnac interferometer can threshold the energies of pulses. Pulses below a given threshold T are suppressed, while those above this threshold are normalized. The device contains an in-loop tunable isolator and 10.4 m of a highly doped silica fiber. We derive an analytical model of the nonlinear optical loop mirror's pulse e...

background: sound is one of the most important factors threatening workers’ health. the most efficient and practical method for controlling noise pollution is the use of sound-absorbing materials. impedance tube with two microphones is used to determine the sound absorption coefficients and should be tested periodically for accuracy and efficiency. the purpose of present study was assessing the...