A computationally simple nonlinearity in the form of a threshold device is shown to serve as contrast function in blind signal separation. Convergence is shown to be robust, fast, and comparable with that of more complex polynomial nonlinearities. Together with the known signum nonlinearity for super-Gaussian distributions, which basically is a threshold device with the threshold set to zero, t...

We demonstrate that spatially inhomogeneous defocusing nonlinear landscapes with the nonlinearity coefficient growing toward the periphery as (1+|r|(α)) support one- and two-dimensional fundamental and higher-order bright solitons, as well as vortex solitons, with algebraically decaying tails. The energy flow of the solitons converges as long as nonlinearity growth rate exceeds the dimensionali...

We show that an inhomogeneous defocusing nonlinearity that grows toward the periphery in the positive and negative transverse directions at different rates can support strongly asymmetric fundamental and multipole bright solitons, which are stable in wide parameter regions. In the limiting case, when nonlinearity is uniform in one direction, solitons transform into stable domain walls (fronts),...

Mason A. Porter∗1, Martin Centurion2, Ye Pu3, P. G. Kevrekidis4, D. J. Frantzeskakis5, and Demetri Psaltis3 1 Mathematical Institute, University of Oxford, OX1 3LB, United Kingdom 2 Max Planck Institute for Quantum Optics, 85748 Garching, Germany 3 Department of Electrical Engineering, California Institute of Technology, Pasadena, CA 91125, USA 4 Department of Mathematics and Statistics, Univer...

An important aspect of auditory nonlinearity is that psychoacoustically measured auditory filters broaden as the level at which they are measured increases. However, it is not yet clear whether the change in filter shape is controlled primarily by the level of the probe or that of the masker. We have therefore developed a new method for fitting filter shapes to notched-noise data in which filte...

the constitutive relationships of the rubber materials that act as the main spring of a hydraulic engine mount are nonlinear. in addition to material induced nonlinearity, further nonlinearities may be introduced by mount geometry, turbulent fluid behavior, temperature, boundary conditions, decoupler action, and hysteretic behavior. in this research all influence the behavior of the system only...

The measurement of static test parameters for an analog-todigital converter (ADC) requires a large volume of test data, especially for a high-resolution ADC. This paper proposes a reduced-code test method for pipelined ADCs that does not compromise test accuracy. The proposed method calculates fault information at each stage by using sub-histograms. The simulation results based on 12-bit pipeli...

Abstra ct – This paper deals with a prospective approach of modeling and design evaluation applied to pipelined A/D converter architecture. In contrast with conventional ADC modeling algorithms targeted to extract the maximum ADC non-linearity error, the innovative approach presented allows to decompose magnitudes of individual error sources from a measured or simulated response of an ADC devic...

Given a nondecreasing nonlinearity f , we prove uniqueness of large solutions to the equation (1) below, in the following two cases: the domain is the ball or the domain has nonnegative mean curvature and the nonlinearity is asymptotically convex.