We show that a simple geometric result suffices to derive the form of the optimal solution in a large class of finiteand infinite-dimensional maximum entropy problems concerning probability distributions, spectral densities, and covariance matrices. These include Burg’s spectral estimation method and Dempster’s covariance completion, as well as various recent generalizations of the above. We th...

Nowadays terahertz spectroscopy is a well-established technique and recent progresses in technology demonstrated that this new technique is useful for both fundamental research and industrial applications. Varieties of applications such as imaging, non destructive testing, quality control are about to be transferred to industry supported by permanent improvements from basic research. Since chem...

Two multiple fundamental frequency estimation systems are presented in this work. In the first one (PI1, PI2), the best fundamental frequency candidates combination is found in a frame-by-frame analysis by applying a set of rules, taking into account the spectral smoothness measure described in this work. The second system (PI3) was used to extract symbolic features for audio genre classificati...

Let T be a measure-preserving transformation acting on a probability space (a, Sr, P). This T induces a linear isometry V on &(a, F, P) defined by V(f) = f o T. The analysis of T by using properties of V is referred to as spectral analysis. It is often profitable to consider the action of V on certain closed linear invariant subspaces 9 of L,(O, ST, P). In this note we make the following assump...

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This paper considers the problem of measuring and analysing the frequency and phase angle variations which occur in a power system after a fault or disturbance. This is an important problem because the results of the analysis are used in implementing control strategies to avert generat,or cutout. Commonly, the frequency is not measured directly, but is inferred from the instantaneous power at t...

Nowadays, g-mode detection is based upon a priori theoretical knowledge. By doing so, detection becomes more restricted to what we can imagine. De facto, the universe of possibilities is made narrower. Such an approach is pertinent for Bayesian statisticians. Examples of how Bayesian inferences can be applied to spectral analysis and helioseismic power spectra are given. Our intention is not to...

Results on multiple orthogonal polynomials will be surveyed. Multiple orthogonal polynomials are intimately related to Hermite–Pad e approximants and often they are also called Hermite–Pad e polynomials. Special attention will be paid to an application of multiple orthogonal polynomials and to analytic theory of two model families of general multiple orthogonal polynomials, referred to as Angel...

A methodology is presented for fundamental frequency estimation of one or more voices. The signal is modeled as the sum of one or more periodic signals, and the parameters estimated by search with interpolation. Accurate, reliable estimates are obtained for each frame without tracking or continuity constraints, and without the use of specific instrument models (although their use might further ...