The performance of conventional digital communication schemes in the presence of additive white Gaussian noise (AWGN) has been widely studied and optimized. The efficiency of these systems, however, is severely hampered if the channel noise is impulsive. Impulsive noise is non-Gaussian in nature and is modeled well by random processes based on heavy-tailed symmetric α-stable (SαS) distributions...

The conventional additive white Gaussian noise (AWGN) model adequately simulates many noisy environments that hamper the performance of practical digital communication systems. However if the channel noise is impulsive, the approximation this model provides reduces significantly. The AWGN channel may then be replaced by the more general additive white symmetric α-stable noise (AWSαSN) model. Wh...

This work studies communication over molecular timing (MT) channels with α-Stable noise. The transmitter simultaneously releases multiple small information particles, where the information is encoded in the time of release. The receiver decodes the transmitted information based on the random time of arrival of the information particles, which is represented as an additive noise channel. For a d...

We use the theory of large deviations to investigate the large time behavior and the small noise asymptotics of random economic processes whose evolutions are governed by mean-reverting stochastic differential equations with (i) constant and (ii) state dependent noise terms. We explicitly show that the probability is exponentially small that the time averages of these process will occupy region...

One of the main problems facing beamforming in smart antenna system is the α-stable noise. To address this problem, a novel algorithm, named the recursive continuous logarithmic mixed p-norm (RCLMP) algorithm, which employs a logarithmic cost, is proposed in this paper. The proposed algorithm combines the logarithmic p-norms 1 ≤ p ≤ 2 which does not need the parameter selection and prior knowle...

We study the largest Lyapunov exponent of the response of a two dimensional non-Hamiltonian system driven by additive white noise. The specific system we consider is the third-order truncated normal form of the unfolding of a Hopf bifurcation. We show that in the small-noise limit the top Lyapunov exponent always approaches zero from below (and is thus negative for noise sufficiently small); we...

This paper proposes the concept of pinning noise and then investigates the phenomenon of stochastic resonance of coupled complex systems driven by pinning noise, where the noise has an α-stable distribution. Two kinds of pinning noise are taken into account: partial noise and switching noise. In particular, we establish a connection between switching noise and global noise when Gaussian noise i...

Introduction: The non-Gaussian noise in the practical world can be well characterised by its impulsive nature. Typical impulsive interference may include atmospheric noise, ambient acoustic noise and lightning, switching transients, etc. Since 1993, there has been tremendous interest in the class of symmetric a-stable (SaS) distributions [1], as a generalisation of Gaussian distribution, which ...

1. Manley H, Dayan P, Diedrichsen J (2014) When Money Is Not Enough: Awareness, Success, and Variability in Motor Learning. PLoS ONE 9(1): e86580. doi:10.1371/journal.pone.0086580 FIGURE 4: Manipulation of the gradient in Experiment 2. (A) Extrinsic noise added to the cursor feedback (movement amplitude) reduced success, increased variability, and reduced action-outcome correlation. (B) By addi...