The amplitude and phase components of the modulation spectrum were dissociated in order to ascertain the importance of cross-spectral, envelope-modulation phase information for understanding spoken language. The dissociation was effected via local time reversals of the speech waveform (i.e., flipping the signal on its horizontal axis) at intervals ranging between 0 and 180 ms. Intelligibility d...

Asymptotic approximations to the partition function of Gaussian random fields are derived. Textures are characterized via Gaussian random fields induced by stochastic difference equations determined by finitely supported, stationary, linear difference operators, adjusted to be non-stationary at the boundaries. It is shown that as the scale of the underlying shape increases, the log-normalizer c...

We consider a spectrum-sharing cognitive radio system with antenna selection applied at the secondary transmitter (ST). Based on the extreme value theory, we deduce a simple and accurate expression for the asymptotic distribution of the signal to interference plus noise ratio at the secondary receiver. Using this result, the asymptotic mean capacity and the outage capacity for the secondary use...

This paper presents a study on the evolution of the perceptually most important parameters of musical instrument sounds as a function of the most important playing styles, namely the pitch and intensity. The main parameter to change when varying the intensity is the spectral envelope, and this change can be modeled with a spectral deviation, which in turn is modeled by an asymptotic exponential...

Recently, the authors obtained an upper bound on the error for the conjugate gradient method, which is valid in an asymptotic setting as the size of the linear systems tends to innnity. The estimate depends on the asymptotic distribution of eigenvalues, and the ratio between the size and the number of iterations. Such error bounds are related to the existence of polynomials with value 1 at 0 wh...

In this paper we aim to review some works on the asymptotic behaviors of random partitions. The focus is upon two basic probability models— uniform partitions and Plancherel partitions. One of fundamental results is the existence of limit shapes, which corresponds to the classic law of large numbers. The fluctuations around the limit shape are also considered; the well-known Gumbel distribution...

We complete and extend the asymptotic analysis of the spectrum of Jacobi Tau approximations that were first considered by Dubiner. The asymptotic formulas for Jacobi polynomials N P ( , ) , , 1 > − α β α β are derived and confirmed by numerical approximations. More accurate results for the slowest decaying mode are obtained. We explain where the large negative eigenvalues come from. Furthermore...

In this paper the linear stability properties of the steady states of a no-slip lubrication equation are studied. The steady states are configurations of droplets and arise during the late-phase dewetting process under the influence of both destabilizing van der Waals and stabilizing Born intermolecular forces, which in turn give rise to the minimum thickness ε of the remaining film connecting ...

Abstract We compute the asymptotic for eigenvalues of a particular class compact operators deeply linked with second variation optimal control problems. characterize this family in terms set finite dimensional data and we apply results to singular extremal get nice description spectrum variation.