The deviation of the tuning frequency from the standard tuning frequency 440Hz is evaluated for a database of classical music. It is discussed if and under what circumstances such a deviation may affect the robustness of pitch-based systems for musical content analysis.

We study the global topology of the syntactic and semantic distributional similarity networks for English through the technique of spectral analysis. We observe that while the syntactic network has a hierarchical structure with strong communities and their mixtures, the semantic network has several tightly knit communities along with a large core without any such welldefined community structure.

We address the problem of autocorrelation-based single-tone frequency estimation. It has been shown that the frequency can be estimated from the phase of the available signal’s autocorrelation with fixed lag. A large lag results in better performance but at the same time limits the estimation range. New methods have been proposed to extend the estimation range. In this paper, a new estimator wh...

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...

Learning generative probabilistic models is a core problem in machine learning, which presents significant challenges due to the curse of dimensionality . This paper proposes joint dimensionality reduction and non-parametric density estimation framework, using novel estimator that can explicitl...

We consider the statistical analysis of random sections of a spin fibre bundle over the sphere. These may be thought of as random fields that at each point p ∈ S2 take as a value a curve (e.g. an ellipse) living in the tangent plane at that point TpS 2, rather than a number as in ordinary situations. The analysis of such fields is strongly motivated by applications, for instance polarization ex...

A zero-mean homogeneous random field is defined on a discrete polar raster. Given sample values inside a disk of finite radius, we wish to estimate the field’s power spectral density using linear prediction. Issues arising here include estimation of covariance lags and extendibility of a finite set of lag estimates into a positive semidefinite covariance extension (required for a meaningful spe...