– We have observed the phenomenon of stochastic resonance on the Brillouin propagation modes of a dissipative optical lattice. Such a mode has been excited by applying a moving potential modulation with phase velocity equal to the velocity of the mode. Its amplitude has been characterized by the center-of-mass (CM) velocity of the atomic cloud. At Brillouin resonance, we studied the CM-velocity...

This article presents continuous-time (CT) analytical solutions to Hammerstein and Wiener systems with second-order plus-lead (SOPL) dynamic ehavior for sinusoidal input changes. The proposed solutions depend only on the most recent input change and exact accuracy is demonstrated or cases of varying frequency (ω), amplitude (A), and phase angle (φ). This article demonstrates two critical advanc...

In this paper, we study the performance of the multiuser detection in a direct sequence optical code division multiple access (DS-OCDMA) system using novel periodic optical encoder applied to fiber-to-the-X (FTTX) passive optical network (PONs). The performance of our system is analyzed in a synchronous network using multilevel periodic codes (ML-PC) with a conventional receiver model and the r...

We analyze the effect of noise in integrate-and-fire neurons driven by time-dependent input and compare the diffusion approximation for the membrane potential to escape noise. It is shown that for time-dependent subthreshold input, diffusive noise can be replaced by escape noise with a hazard function that has a gaussian dependence on the distance between the (noise-free) membrane voltage and t...

A noisy environment dominated by low frequency noise can often be improved through the use of active noise control. This situation arises naturally in propeller aircraft where the propellers induce periodic low frequency noise inside the cabin. The cabin noise is typically rather high, and the passenger flight comfort could be improved considerably if this level were significantly reduced. This...

It is demonstrated that benefits from the noise can be gained at various levels in stochastic resonance. Raising the noise can produce signal amplification as well as signal-tonoise ratio improvement, input–output gain exceeding unity in signal-to-noise ratio, and enhanced performance in optimal processing. This series of benefits is successively exhibited in the processing of a periodic signal...

The generation and synchronization of bursts are studied in intrinsically spiking neurons due to stimulation with random intracellular calcium fluctuations. It is demonstrated that sufficiently strong noise could induce qualitative change in the firing patterns of a single neuron from periodic spiking to bursting modes. The dynamical mechanism of noise-induced bursting is presented based on a g...

There are many noise reduction methods for chaotic signals, but most only work over a limited signal to noise range. If chaotic signals are to be used for communications, noise reduction techniques which can handle larger amounts of noise (or deterministic noise) are needed. I describe here a method of approximating a chaotic signal by constructing possible sequences based on unstable periodic ...

Deterministic chaotic dynamics presumes that the state space can be partitioned arbitrarily finely. In a physical system, the inevitable presence of some noise sets a finite limit to the finest possible resolution that can be attained. Much previous research deals with what this attainable resolution might be, all of it based on a global averages over stochastic flow. We show how to compute the...

Averaging is one of the basic methods of statistical analysis of experimental data where the response of the system is periodic or quasi-periodic. As long as the noise are Gaussian, the standard averaging leads to good results and effective noise reduction. However, when the distortions have impulsive nature, then such an approach leads to a deterioration of the system. In this case the robust ...