— The minimum mean-square error of the estimation of a signal where observed from the additive white Gaussian noise (WGN) channel's output, is analyzed. It is assumed that the channel input's signal is composed of a (normalized) sum of N narrowband, mutually independent waves. It is shown that if N goes to infinity, then for any fixed signal energy to noise energy ratio (no mater how big) both ...

Timing synchronization of an early WIND-FLEX prototype is discussed in this paper. Simulation results for different low-complexity timing synchronization metrics are given in an AWGN (additive white Gaussian noise) channel. Simulations take into account frame detection via a threshold comparison followed by symbol timing estimation using a maximum search. Training symbols are fixed. A novel low...

In this paper, a novel method for detection in quantization-based watermarking is introduced. This method basically works by quantizing a projection of the host signal onto a subspace of smaller dimensionality. A theoretical performance analysis under AWGN and fixed gain attacks is carried out, showing great improvements over traditional spread-spectrum-based methods operating under the same co...

The convergence properties of mixed-norm algorithms as i t applies to echo cancelers under general error criteria is derived for correlated and identically distributed inputs. The convergence analysis of this class of algorithms i s carried out using the linearization process of the error nonlinearities. Necessary and suficient conditions for convergence are derived for the independent input ca...

We present a new definition of data hiding capacity which complements the established theory in the field and produces practical estimates under many attacks. We discuss the relation between the proposed definition and the current theoretical work on data hiding capacity. The definition proposed is applied to still images to estimate the hiding capacity of a particular image under attacks such ...

We show that the increments of generalized Wiener process, useful to describe nonGaussian white noise sources, have the properties of infinitely divisible random processes. Using functional approach and the new correlation formula for non-Gaussian white noise we derive directly from Langevin equation, with such a random source, the Kolmogorov’s equation for Markovian non-Gaussian process. From ...

The contourlet transform has the benefit of efficiently capturing the oriented geometrical structures of images. In this paper, by incorporating the ideas of Stein’s Unbiased Risk Estimator (SURE) approach in Nonsubsampled Contourlet Transform (NSCT) domain, a new image denoising technique is devised. We utilize the characteristics of NSCT coefficients in high and low subbands and apply SURE sh...

We obtain a representation theorem for Banach space valued Gaussian random variables as integrals against a white noise. As a corollary we obtain necessary and sufficient conditions for the existence of a white noise representation for a Gaussian random field indexed by a measure space. We then show how existing theory for integration with respect to Gaussian processes indexed by [0, 1] can be ...

Abstract: In this paper we consider a random variable Y contamined by an independent additive noise Z. We assume that Z has known distribution. Our purpose is to test the distribution of the unobserved random variable Y . We propose a data driven statistic based on a development of the density of Y + Z, which is valid in the discrete case and in the continuous case. The test is illustrated in b...

The construction of optimal non-uniform mappings for discrete input memoryless channels (DIMCs) is investigated. An efficient algorithm to find optimal mappings is proposed and the rate by which a target distribution is approached is investigated. The results are applied to non-uniform mappings for additive white Gaussian noise (AWGN) channels with finite signal constellations. The mappings fou...