The stochastic component of a chemical sensor signal contains valuable information that can be visualized not only by spectral analysis but also by methods of higher-order statistics (HOS). The analysis of HOS enables the extraction of non-conventional features and may lead to significant improvements in selectivity and sensitivity. We pay particular attention to the bispectrum that characteriz...

This paper introduces the theory of cyclic statistics as a powerful tool for the diagnosis of gear faults. More precisely, a new method based on the cyclic bispectrum, a third order cyclic statistical function, is used for monitoring. This estimator furnishes a valuable means of detecting and characterising non-linear coupling effects as well as any periodic correlation between different compon...

We propose a new method for the reconstruction of the Fourier phase of a complex LTI system based on the principal arguments of any pair of horizontal consecutive bispectrum slices of the system output. Since principal bispectrum arguments only are required, there is no need for two-dimensional phase unwrapping. The reconstructed phase diiers from the true one by a constant, integer multiples o...

In this paper the damage in clamped-free, clampedclamped and free-free beam are analyzed considering samples without and with structural modifications. The damage location is investigated by the use of the bispectrum and wavelet analysis. The mathematical models are obtained using 2D elasticity theory and the Finite Element Method (FEM). The numerical and experimental data are approximated usin...

Several di erent acoustic transforms of the speech signal are compared for use in the assessment and evaluation of concatenative speech synthesis. The transforms tested include LPC, LSP, MFCC, bispectrum, Mellin transform of the log spectrum, WignerVille distribution (WVD), etc. The computed distances between a synthesised utterance and a naturally spoken version of the same sentence are compar...

We investigate cosmological perturbations and non-gaussianities in Hořava-Lifshitz theory of gravitation. In the UV limit, the scalar perturbation in Hořava theory is naturally scale-invariant, ignoring the details of the expansion of the universe. Thus one may relax the exponential inflation and the slow-roll conditions for the inflaton field. Moreover, in the absence of slow-roll conditions, ...

Controversy regarding the correctness of a test for aliasing proposed by Hinich and Wolinsky [3] has been surprisingly long-lived. Two factors have prolonged this controversy. One factor is the presence of deep-seated intuitions that such a test is fundamentally incoherent. Perhaps the most compelling objection is that, given a set of discretetime samples, one can construct an unaliased continu...

Abstract We study two key issues militating against the use of anisotropic three-point correlation function (3PCF) for cosmological parameter inference: difficulties with its computational estimation and high-dimensionality. show how high-dimensionality may be reduced significantly by multipole decompositions all angular dependence. This allows deriving full expression moments 3PCF covariance m...