In this work, the stationarity of the covariance K2, is replaced by a less restricting notion: the harmonizability in the sense of Loeve [4] (strong harmonizability according to Rao [9]). Then we present the spectral analysis of such covariances which are not necessarily bounded. Remind that a covariance K defined on M. is harmonizable when there exists a complex valued measure M on K such that...

We present an approach to the extraction of frequencies corresponding to chords in western polyphonic music. In the first phase of this approach constant-Q spectral analysis directly provides the features from which the fundamental frequencies for 43 of the 57 possible categories of chords can be extracted without ambiguity. Each remaining chord category has a potential ambiguity associated wit...

This paper presents a closed-form spectral evaluation of the family of digital pulse interval modulation (DPIM) schemes, where the information is contained in the relative distance between successive pulses. The framework for spectral evaluation is that of Stationary Symbol Sequences derived from Variable-Length Word Sequences, which considers the issue of stationarization, a preliminary task t...

The empirical relevance of long memory conditional heteroscedasticity has emerged in a variety of studies of long time series of high frequency nancial measurements. A reassessment of the applicability of existing semiparametric frequency domain tools for the analysis of time dependence and long run behaviour of time series is therefore warranted. To that end, this paper analyses the averaged p...

Although most noise reduction algorithms are critically dependent on the noise power spectral density (PSD), most procedures for noise PSD estimation fail to obtain good estimates in nonstationary noise conditions. Recently, a DFT-subspace-based method was proposed which improves noise PSD estimation under these conditions. However, this approach is based on eigenvalue decompositions per DFT bi...

A novel block prior is proposed for adaptive Bayesian estimation. The prior does not depend on the smoothness of the function and the sample size. It puts sufficient prior mass near the true signal and automatically concentrates on its effective dimension. A rateoptimal posterior contraction is obtained in a general framework, which includes density estimation, white noise model, Gaussian seque...

Despite of the extreme success of the spectral graph theory, there are relatively few papers applying spectral analysis to hypergraphs. Chung first introduced Laplacians for regular hypergraphs and showed some useful applications. Other researchers treated hypergraphs as weighted graphs and then studied the Laplacians of the corresponding weighted graphs. In this paper, we aim to unify these ve...

The state-covariance of a linear filter is characterized by a certain algebraic commutativity property with the state matrix of the filter, and also imposes a generalized interpolation constraint on the power spectrum of the input process. This algebraic property and the relationship between state-covariance and the power spectrum of the input allow the use of matrix pencils and analytic interp...

Methods for spectral analysis of audio signals and their graphical display are widespread. However, assessing music and audio in the visual domain involves a number of challenges in the translation between auditory images into mental or symbolically represented concepts. This paper presents a spectral analysis method that exists entirely in the auditory domain, and results in an auditory presen...

Pressed phonation ("rikimi" in Japanese) is a voice quality that carries important paralinguistic information of expressivity in the emotional or attitudinal states of the speaker. Analysis of pressed voice samples extracted from natural conversational speech firstly shows that irregularity in periodicity (such as in vocal fry and harsh voices) is a common but not a strictly determinant feature...