We consider the additive white Gaussian noise channels. We prove that the error probability of decoding tends to one exponentially for rates above the capacity and derive the optimal exponent function. We shall demonstrate that the information spectrum approach is quite useful for investigating this problem. Keywords—Additive white Gaussian noise channels, Strong converse theorem, Information s...

We consider the heat equation with a multiplicative Gaussian potential in dimensions d ≥ 3. We show that the renormalized solution converges to the solution of a deterministic diffusion equation with an effective diffusivity. We also prove that the renormalized large scale random fluctuations are described by the Edwards-Wilkinson model, that is, the stochastic heat equation (SHE) with additive...

Abstract Previous works have shown that time asymmetric forcing on one hand, as well as non-Gaussian noises on the other, can separately enhance the efficiency and current of a Brownian motor. Here, we study the result of subjecting a Brownian motor to both effects simultaneously. Our results have been compared with those obtained for the Gaussian white noise regime in the adiabatic limit. We f...

In many applications, observations result from the random presence or absence of random signals in independent and additive white Gaussian noise. When the observations are independent and the probabilities of presence of the signals are upper-bounded by some value in [0,1), a theoretical result is established for the noise standard deviation. The latter is the only positive real number satisfyi...

This paper examines the effectiveness of a generalized dynamic cepstrum in distant speech recognition. The generalized dynamic cepstrum (DyMFGC) is based upon the forward masking on the generalized logarithmic spectrum instead of the log-spectrum, which intends to make it robust to additive noise as well as convolutional noise. Digit recognition tests were carried out in a relatively quiet and ...

We present a method to ascertain optimal parameter values in the presence of a known measurement error distribution. This method is known as simulation extrapolation (SIMEX). Say X is an input variable with no error and Y is the response variable. Consider instead of X our input variable is W where, W= X+ N(0, σ). The calibrated parameter with W as input is called the naïve parameter estimate. ...

We review the capacity-achieving coding scheme for the power-constrained wide-band Additive White Gaussian Noise (AWGN) channel (with noiseless feedback) that was proposed in [1]. The performance of this scheme for the cases of (i) non-Gaussian additive white noise on the forward path, and (ii) AWGN on both forward and feedback paths, is also discussed.

Langevin equation for a nano-particle suspended in a laminar fluid flow was analytically studied. The Brownian motion generated from molecular bombardment was taken as a Wiener stochastic process and approximated by a Gaussian white noise. Euler-Maruyama method was used to solve the Langevin equation numerically. The accuracy of Brownian simulation was checked by performing a series of simulati...

The efficacy of a specially constructed Gallager-type errorcorrecting code to communication in a Gaussian channel is being examined. The construction is based on the introduction of complex matrices, used in both encoding and decoding, which comprise sub-matrices of cascading connection values. The finite size effects are estimated for comparing the results to the bounds set by Shannon. The cri...