This paper deals with some error effects caused by additive noise at analogue-to-digital converters (ADCs) testing based on the histogram method and the exponential shape of input testing stimulus. The histogram method with the exponential stimulus has been an alternative test method for ADC that was developed by the authors of this paper. Here, the theoretical analysis of some errors in estima...

We present exact analytical results for the statistics of nonlinear coupled oscillators under the influence of additive white noise. We suggest a perturbative approach for analysing the statistics of such systems under the action of a determanistic perturbation, based on the exact expressions for probability density functions for noise-driven oscillators. Using our perturbation technique we sho...

Spoofing detection for automatic speaker verification (ASV), which is to discriminate between live and artificial speech, has received increasing attentions recently. However, the previous studies have been done on the clean data without significant noise. It is still not clear whether the spoofing detectors trained on clean speech can generalise well under noisy conditions. In this work, we pe...

Spoofing detection for automatic speaker verification (ASV), which is to discriminate between live speech and attacks, has received increasing attentions recently. However, all the previous studies have been done on the clean data without significant additive noise. To simulate the real-life scenarios, we perform a preliminary investigation of spoofing detection under additive noisy conditions,...

In this paper we rigorously derive stochastic amplitude equations for a rather general class of SPDEs with quadratic nonlinearities forced by small additive noise. Near a change of stability we use the natural separation of time-scales to show that the solution of the original SPDE is approximated by the solution of an amplitude equation, which describes the evolution of dominant modes. Our res...

We study minimax rates for estimating high-dimensional nonparametric regression models with sparse additive structure and smoothness constraints. More precisely, our goal is to estimate a function f∗ : R → R that has an additive decomposition of the form f(X1, . . . ,Xp) = ∑ j∈S h ∗ j (Xj), where each component function h ∗ j lies in some class H of “smooth” functions, and S ⊂ {1, . . . , p} is...

The issue of bandwidth scaling has always caused some confusion for channels subject t.o additive white Gaussian noise plus multipath fading. On the one hand, there is an old result (see, for example, section 8.6 of [I]) saying that the capacity of the channel (under 2 power constraint but no bandwidth constraint) is the same as the infinite bandwidth capacity of the non-fading additive noise c...

We consider a slow passage through a point of loss of stability. If the passage is sufficiently slow, the dynamics are controlled by additive random disturbances, even if they are extremely small. We derive expressions for the ‘exit value’ distribution when the parameter is explicitly a function of time and the dynamics are controlled by additive Gaussian noise. We derive a new expression for t...

We consider the following generalization of an (n, k) MDS code for application to an erasure channel with additive noise. Like an MDS code, our code is required to be decodable from any k received symbols, in the absence of noise. In addition, we require that the noise margin for every allowable erasure pattern be as large as possible and that the code satisfy a power constraint. In this paper ...

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...