This paper investigates the spectral aspects of Mandarin Chinese sibilant [s̪, ʂ, ɕ] in three vowel context /a, i, u/. Three male and three female speakers of Mandarin Chinese were recorded. To ensure good spectral estimates, frication noise was analyzed using multitaper analysis. For comparison, one female speaker of Polish was analyzed in the same way. A strict ordering was found among Mandari...

The paper formulates inverse homogenization problem as a problem of recovery of Markov function using diagonal Padé approximants. Inverse homogenization or de-homogenization problem is a problem of deriving information about the microgeometry of composite material from its effective properties. The approach is based on reconstruction of the spectral measure in the analytic Stieltjes representat...

-This paper proposes a new nonparametric approach to the estimation of the mean Doppler velocity (first spectral moment) and the spectral width (square root of the second spectral centered moment) of a zero-mean stationary complex Gaussian process immersed in independent additive white Gaussian noise. By assuming that the power spectral density of the underlying process is bandlimited, the exac...

Introduction This chapter introduces concepts fundamental to spectral analysis and applies spectral analysis to characterize neural signals. Spectral analysis is a form of time series analysis and concerns a series of events or measurements that are ordered in time. The goal of such an analysis is to quantitatively characterize the relationships between events and measurements in a time series....

This paper explains how fractional cyclic moments of CPFSK signals can be used in adaptive beamforming. It is shown that CPFSK signals have non-zero fractional cyclic moments because they generate spectral lines when they are raised to the inverse of its modulation index, which is generally a fractional number. To exploit this property, an optimization criterion is proposed to compute the anten...

A birth and death process is considered in which X,(t) is the number of open channels in a patch of membrane containing n channels. The voltage response of such a patch to conductance fluctuations is obtained including moments and spectral density. Furthermore, a diffusion approximation, an Ornstein-Uhlenbeck process, is obtained based on a weak convergence result to represent the patch conduct...

Consider the ensemble of Real Symmetric Toeplitz Matrices, each entry iidrv from a fixed probability distribution p of mean 0, variance 1, and finite higher moments. The limiting spectral measure (the density of normalized eigenvalues) converges weakly to a new universal distribution with unbounded support, independent of p. This distribution’s moments are almost those of the Gaussian’s; the de...

This paper discusses the problem of estimating the population spectral distribution from high-dimensional data. We present a general estimation procedure that covers situations where the moments of this distribution fail to identify the model parameters. The main idea is to use generalized functional expectations as a substitute for the moments. Beyond the consistency, we also prove a central l...

Diagnostics of faults in gears requires development of reliable condition indicators. A large number of condition indicators, which are based on statistical moments of the synchronous average and its derivatives (difference and residual signals) were previously suggested. This study evaluates the efficiency of different gear condition indicators that are based on statistical moments and compare...

This paper derives conditions for the existence of fourth moments of multivariate GARCH processes in the general vector specification and gives explicit results for the fourth moments and autocovariances of the squares and cross-products. Results are provided for the kurtosis and co-kurtosis between components. Applications of the results include the definition of impulse response functions for...