We consider the viscous Burgers equation with a fractional nonlinear term as a model involving non-local nonlinearities in conservation laws, which, surprisingly, has an analytical solution obtained by a fractional extension of the Hopf-Cole transformation. We use this model and its inviscid limit to develop stable spectral and discontinuous Galerkin spectral element methods by employing the co...

In this paper, Canonical Correlation Based Compensation(CCBC) is proposed as an unified approach to cope with the mismatch between training and test set. The mismatch between training and test conditions can be simply clustered into three classes: differences of speakers, changes of recording channel and effects of noisy environment. In previous work, we had used CCBC approach with some modific...

In this work we present a violin timbre model that takes into account performance gestures. It is built by analysis of performance data using machine learning methods and it is able to predict the timbre given a set of performance actions. Gestural data and sound are synchronously captured by means of 3D motion trackers attached to the instrument and a bridge pickup. The model is used for sampl...

In this paper we describe the implementation, use and applications of WaveThresh, a real time Fourier\wavelet spectral expander. Expansion and reverse-expansion of spectral components is offered. In order that analysis methods can be better adapted to the signal we offer a combined wavelet\Fourier mode. This mode separates sinusoids from the rest of the signal (residual) and applies Fourier ana...

According to psychological research of emotional speech different emotions are accompanied by different spectral noise. We control its amount by spectral flatness according to which the high frequency noise is mixed in voiced frames during cepstral speech synthesis. Our experiments are aimed at statistical analysis of spectral flatness in three emotions (joy, sadness, anger), and a neutral stat...

OBJECTIVE Snoring and obstructive sleep apnea (OSA) are common disorders. Snoring associated with excessive daytime sleepiness is the most prevalent symptoms of OSA. Heart rate variability (HRV) is altered in patients with OSA and the degree of alteration may be linked to the severity of OSA. Alterations in HRV in 24 hour tachograms have recently been used in screening OSA patients. Autonomic c...

Spectral analysis is an important signal processing tool for seismic data. The transformation of a seismogram into the frequency domain is the basis for a significant number of processing algorithms and interpretive methods. However, for seismograms whose frequency content vary with time, a simple 1-D (Fourier) frequency transformation is not sufficient. Improved spectral decomposition in frequ...

This paper introduces a unified framework for online adaptation of hidden Markov models (HMM) parameters to real-life conditions. Hence, it aims at improving the robustness of speech recognition systems. In addition, it describes some techniques developed to control the convergence of adaptation in unsupervised modes. Classically, two approaches have been used to adapt HMM parameters to new con...

At the level of the cochlear nucleus (CN), the auditory pathway divides into several parallel circuits, each of which provides a different representation of the acoustic signal. Here, the representation of the power spectrum of an acoustic signal is analyzed for two CN principal cells-chopper neurons of the ventral CN and type IV neurons of the dorsal CN. The analysis is based on a weighting fu...

This paper presents a matching pursuits sinusoidal speech coder which incorporates new techniques including a novel vector quantization (VQ) technique used for the weighted quantization of spectral magnitude vector, and an interframe quantization of spectral magnitudes using an interpolation matrix that minimize the weighted interpolation error. The paper describes a novel vector quantization t...