In this paper we derive the spectral and ergodic properties of a special class of homogeneous random fields, which includes an important family of evanescent random fields. Based on a derivation of the resolution of the identity for the operators generating the homogeneous field, and using the properties of measurable transformations, the spectral representation of both the field and its covari...

The purpose of this work is the estimation of the spectral moments of Doppler echoes even in the case of strongly overlapped echoes. In such cases, Fourier like techniques provide poor results because of the lack of resolution. Boyer et al.(2001) proposed the MUSIC algorithm for the estimation of the first spectral moment of the echoes and pointed out the very good resolution of this estimator ...

Sequence discovery tools play a central role in several fields of computational bi-ology. In the framework of Transcription Factor binding studies, motif finding algorithms ofincreasingly high performances are required to process the big datasets produced by new high-throughput sequencing technologies. Most existing algorithms are computationally demandingand often cannot suppor...

Figure 3. Position of each case on linear discriminant 1 (LD1) versus linear discriminant 2 (LD2). Spectral moments analysis has been shown to be effective in deriving acoustic features for classifying voiceless stop release bursts [1], and is an analysis method that has commonly been cited in the clinical phonetics literature dealing with children’s disordered speech. In this study, we compare...

In this chapter we explain the Atiyah-Hirzebruch spectral sequence that relates topological K-theory to singular cohomology and try to motivate the search for a motivic version. In the time since [18] appeared, which concerns motivation for such a motivic spectral sequence, many authors have produced results in this direction. We describe the Bloch-Lichtenbaum spectral sequence [8] for the spec...

This paper describes the estimation of ocean wave spectra with the maximum entropy method. This method is based on an autogressive model for the time series of sea surface elevation, and gives an all-pole estimate. The wave series are also prefiltered to introduce one zero in the spectral estimate. The methods are successfully applied to estimate the spectra of some typical wave series, requiri...

We analyze the spectral moments of the V-A two-point correlation function. Using all known short-distance constraints and the most recent experimental data from tau decays, we determine the lowest spectral moments, trying to assess the uncertainties associated with the so-called violations of quark-hadron duality. We have generated a large number of “acceptable” spectral functions, satisfying a...

In many countries wind turbines are rapidly growing in numbers as the demand for energy from renewable sources increases. The continued deployment of wind turbines can, however, be problematic for many radar systems, which are easily disturbed by turbines located in the radar line of sight. Wind turbines situated in the vicinity of Doppler weather radars can lead to erroneous precipitation esti...