AbstructWe present several results regarding the properties of a random vector, uniformly distributed over a lattice cell. This random vector is the quantization noise of a lattice quantizer at high resolution, or the noise of a dithered lattice quantizer at all distortion levels. We find that for the optimal lattice quantizers this noise is wide-sense-stationary and white. Any desirable noise ...

W e present several results regarding the propert ies of a random vector, uniformly distributed over a lattice cell. This random vector is the quantization noise of a lattice quantizer at high resolution, or the noise of a dithered lattice quantizer at all distortion levels. W e find that for the optimal lattice quantizers this noise is wide-sense-stat ionary and white. Any desirable noise spec...

In this paper, we present a novel method for inverse filtering a two dimensional (2-D) signal using phase-based processing techniques. A 2-D sequence can be represented by a sufficient number of samples of the phase of its Fourier transform and its region of support. This is exploited to perform deconvolution. We examine the effects of additive noise and incomplete knowledge of the point spread...

The common signal processing problem of estimating some nonrandom parameters of a signal in additive noise is considered. The problem investigated in this paper is under what conditions an efficient estimator exists, i.e., an unbiased estimator with a variance equal to the Cramér–Rao lower bound (CRB). It is well known that if the signal is linear or, more generally, affine in the parameters an...

In this contribution, the Gaussian channel is represented as an equivalent thermal system allowing to express its input-output mutual information in terms of thermodynamic quantities. This thermodynamic description of the mutual information is based upon a generalization of the 2 thermodynamic law and provides an alternative proof to the Guo-Shamai-Verdú theorem, giving an intriguing connection...

We prove the large deviations principle (LDP) for the law of the solutions to a stochastic Burgers’ equation in the presence of an additive noise. Our proof is based on the weak convergence approach.

We have seen that the communication (even with coding) over a slow fading flat wireless channel has very poor reliability. This is because there is a significant probability that the channel is in outage and this event dominates the total error event (which also include the effect of additive noise). The key to improving the reliability of reception (and this is really required for wireless sys...

In this paper we study the asymptotic dynamics for the nonautonomous stochastic strongly damped wave equation driven by additive noise defined on unbounded domains. First we introduce a continuous cocycle for the equation and then investigate the existence and uniqueness of tempered random attractors which pullback attract all tempered random sets.

Recent work on fractionally spaced blind equalizers have shown that it is possible to exactly identify the channel and its input sequence from the noise–free channel outputs [1–3]. However, the obtained results are based on a set of over–restrictive constraints on the channel. We have shown that the exact identification can be achieved in a much broader class of channels [4]. In this paper, we ...