The problem of estimating the frequencies of harmonics in multiplicative and additive noise is addressed. The cyclic mean (CM) can be used if the multiplicative noise has nonzero mean; the cyclic variance (CV) can be used whether or not the multiplicative noise has zero mean. This paper answers the following question: Under what conditions should we use CV instead of CM? The criteria used are t...

The concepts of multiplicative stochastic perturbations and noise-induced transitions are applied to a quasigeostrophic b-plane model of barotropic flow over topography. The spectral three-component low-order representation of this configuration yields the Charney–DeVore (CDV) model. The externally prescribed damping of the system is allowed to scatter around a mean value. The stochastic repres...

A random multiplicative process with additive noise is described by a Langevin equation. We show that the fluctuation-dissipation relation is satisfied in the Langevin model, if the noise strength is not so strong. keywords fluctuation-dissipation theorem, Langevin equation, multiplicative noise, Levy flight.

Researchers consider additive and multiplicative types of noises. The classes of noises are Gaussian, Salt & Pepper, which are additive type and Speckle which is multiplicative type. The most commonly used filters are mean, median and homomorphic for removing Gaussian, Salt and pepper and speckle noises respectively. If a specific filter is applied upon other type or class of noisy image, it fu...

Image denoising approaches have attracted many researchers. The main tackled problem is the removal of additive Gaussian noise. However, it is very important to expand the filters capacity to other types of noise, for example the multiplicative noise of SAR images. The state of the art methods in this area work with patch similarity. This paper shows a new approach for speckle removal based on ...

In a previous paper [Bag and Hu, Phys. Rev. E 73, 061107 (2006)], we studied the mean lifetime (MLT) for the escape of a Brownian particle through an unstable limit cycle driven by multiplicative colored Gaussian and additive Gaussian white noises and found resonant activation (RA) behavior. In the present paper we switch from Gaussian to non-Gaussian multiplicative colored noise. We find that ...