We calculate the logarithmic moment of the phonon frequency spectrum at a single density for 29 monatomic liquids using two methods, both suggested by Wallace’s liquid dynamics: The first method relies on liquid entropy data, the second on neutron scattering data in the crystal phase. Liquid dynamics predicts that for a class of elements called “normal melters,” including all 29 of these materi...

Abstmet-This correspondence studies parametric estimatioll of spectral moments of a zero-mean complex Gaussian stationary pmcess immersed in independent Gaussian noise. With the merit of the maximum-likelihood @lL) approach as motivation, this work exploits a Whittle's type objective function that is able to capture the relevant feabues of the log-likelihmdfunction while b e i i much more manag...

We propose to use the Gamma filter [1] as a feature extractor for the preprocessing of speech signals. Gamma filter which can be implemented as a cascade of identical first order lowpass filters generates at its taps the Poisson Moments of an input signal. These moments carry spectral information about the recent history of the input signal. They can be used to construct time-frequency represen...

Audio-visual documents obtained from German TV news are classified according to the IPTC topic categorization scheme. To this end usual text classification techniques are adapted to speech, video, and non-speech audio. For each of the three modalities word analogues are generated: sequences of syllables for speech, “video words” based on low level color features (color moments, color correlogra...

Fourier spectral method can achieve exponential accuracy both on the approximation level and for sQIving partial differential equations if the solutions are analytic. For a linear PDE with discontinuous solutions, Fourier spectral method will produce poor point-wise accuracy without post-processing, but still maintains exponential accuracy for all moments against analytic functions. In this not...

A new method for doing text-independent speaker identification geared to forensic situations is presented. By analysing ‘isolexemic’ sequences, the method addresses the issues of very short criminal exemplars and the need for open-set identification. An algorithm is given that computes an average spectral shape of the speech to be analysed for each glottal pulse period. Each such spectrum is co...

Relationships between ergodicity and structures of fourthorder spectral moments are investigated. In particular it is shown that second-order ergodicity of a random process is directly related to the distribution of these moments on the normal manifolds of the frequency domain. This result is illustrated by various examples.

Abstract: We study some connections between the random moment problem and the random matrix theory. A uniform pick in a space of moments can be lifted into the spectral probability measure of the pair (A, e) where A is a random matrix from a classical ensemble and e is a fixed unit vector. This random measure is a weighted sampling among the eigenvalues of A. We also study the large deviations ...

We consider N×N Hermitian or symmetric random matrices with independent entries. The distribution of the (i, j)-th matrix element is given by a probability measure νij whose first two moments coincide with those of the corresponding Gaussian ensemble. We prove that the joint probability distribution of the components of eigenvectors associated with eigenvalues close to the spectral edge agrees ...