It has been difficult to isolate the factors that limit contrast discrimination, one of the most fundamental aspects of the visual system. claim to have found a method that can answer the question of why discrimination thresholds increase with reference contrast. Is it because of a saturating contrast response function or because of increasing (multiplicative) noise? Based on four datasets they...

Suppression of selection among broken-symmetry states has been found in doublewell system resulting from two simultaneous correlated white noises, one additive and the other multiplicative. Symmetry-asymmetry-symmetry transition is reentrant as a function of the additive noise intensity for small multiplicative noise.

In this paper, we propose an order statistics−based unbiased homomorphic system to reduce multiplicative noise. The design of such a system is based on the probability density function (PDF) of the noise. First, we generalize the order statistics−based nonlinear filter called the sampled function weighted order (SFWO) filter proposed in [1] to reduce additive noise, to the case when the additiv...

The transmission properties of some bacteriorhodopsin-film spatial light modulators are uniquely suited to allow nonlinear optical image-processing operations to be applied to images with multiplicative noise characteristics. A logarithmic amplitude-transmission characteristic of the film permits the conversion of multiplicative noise to additive noise, which may then be linearly filtered out i...

Synthetic Aperture Radar (SAR) is an active imaging system widely used in remote sensing applications. SAR systems are characterized by their high image resolution and all-weather operating ability, but suffer from the notorious speckle noise [1], which is a random multiplicative phenomenon that results from coherent imaging. In this paper we propose several heuristic methods for the estimation...

In this paper we consider the problem of minimizing a quadratic functional for a discretetime linear stochastic system with multiplicative noise, on a standard probability space, in infinite time horizon. We show that the necessary and sufficient conditions for the existence of the optimal control can be formulated as matrix inequalities in frequency domain. Furthermore, we show that if the opt...

We analyze the effects of extrinsic multiplicative noise on front propagation in a scalar neural field with excitatory connections. Using a separation of time scales, we represent the fluctuating front in terms of a diffusive-like displacement (wandering) of the front from its uniformly translating position at long time scales, and fluctuations in the front profile around its instantaneous posi...

We study the dynamics of the two-point statistics of the Kraichnan ensemble which describes the transport of a passive pollutant by a stochastic turbulent flow characterized by scale invariant structure functions. The fundamental equation of this problem consists in the Fokker-Planck equation for the two-point correlation function of the density of particles performing spatially correlated Brow...

This paper deals with the estimation of the state variable of continuous-discrete linear state space models with multiplicative noise. Speci1cally, the optimal minimum variance linear 1lter for that class of models is constructed. Moreover, the solutions of the di2erential equations that describe the evolution of the two 1rst conditional moments between observations are obtained and an algorith...

We show that the Cauchy Problem for a randomly forced, periodic multi-dimensional scalar first-order conservation law with additive or multiplicative noise is well-posed: it admits a unique solution, characterized by a kinetic formulation of the problem, which is the limit of the solution of the stochastic parabolic approximation.