Performance of equalizers depends on the discrete time model of the input signal and noise. The use of higher sampling rate results in colored noise when the bandwidth of the noise-limiting prefilter is not sufficiently large. It is shown that the mean square error (MSE) performance of linear equalizers becomes sensitive to the decision delay when the input noise is colored, and by using the ap...

An appropriate adaption of the decision boundaries of the well-known signal space detector (SSD) yields a detector that whitens the input noise in the detector forward path. This new detector, called a whitening signal space detector (WSSD), offers higher reliability without increasing the dimensionality of the signal space. A WSSD can be designed by applying a transformation into the ordinary ...

Environmental noise can cause an exponential reduction in the mean time to extinction (MTE) of an isolated population. We study this effect on an example of a stochastic birth-death process with rates modulated by a colored (that is, correlated) Gaussian noise. A path integral formulation yields a transparent way of evaluating the MTE and finding the optimal realization of the environmental noi...

This paper addresses the harmonic retrieval problem in colored linear non-Gaussian noise of unknown covariance and unknown distribution. The assumptions made in the reported studies, that the non-Gaussian noise is asymmetrically distributed and no quadratic phase coupling occurs ,are released. Using the elaborately defined fourth-order cumulants of the complex noisy observations which are obtai...

Abstract − We develop a new method for simple soft-output detection. Like other soft-output detectors, our approach also utilizes the trellis structure. However, in computing the state transition probabilities in the trellis, we model each bit as a linear regression of the channel outputs as well as the previous bits implied in the corresponding branch. The trellis depends not on the channel re...

Synchronization plays an important role in neural signal processing and transmission. Many hypotheses have been proposed to explain the origin of neural synchronization. In recent years, correlated noise-induced synchronization has received support from many theoretical and experimental studies. However, many of these prior studies have assumed that neurons have identical biophysical properties...

In two recent articles, Rudolph and Destexhe (2003, 2005) studied a leaky integrator model (an RC-circuit) driven by correlated (“colored”) gaussian conductance noise and Gaussian current noise. In the first article, they derived an expression for the stationary probability density of the membrane voltage; in the second, they modified this expression to cover a larger parameter regime. Here we ...

In two recent papers, Rudolph and Destexhe (Neural Comp. 15, 2577-2618, 2003; Neural Comp. in press, 2005) studied a leaky integrator model (i.e. an RC-circuit) driven by correlated (“colored”) Gaussian conductance noise and Gaussian current noise. In the first paper they derived an expression for the stationary probability density of the membrane voltage; in the second paper this expression wa...

We compare several methods for the efficient generation of correlated random sequences (colored noise) by filtering white noise to achieve a desired correlation spectrum. We argue that a class of IIR filter-design techniques developed in the 1970s, which obtain the global Chebyshev-optimum minimum-phase filter with a desired magnitude and arbitrary phase, are uniquely suited for this problem bu...

The corruption of speech due to presence of additive background noise causes severe difficulties in various communications environments. This paper addresses the problem of reduction of additive background noise in speech. The proposed approach is a frequency dependent speech enhancement method based on the proven spectral subtraction method. Most implementations and variations of the basic spe...