The paper presents a novel method for improving the estimates of closely-spaced frequencies of a short length signal in additive Gaussian noise based on the Burg algorithm with extrapolation. The proposed method is implemented in two consecutive steps. In the first step, the Burg algorithm is used to estimate the parameters of the predictive filter, while in the second step the extrapolation te...

We present state of the art, the new results, and discuss open problems in the field of spectral analysis for a class of integral-difference operators appearing in some nonequilibrium statistical physics models as collision operators. The author dedicates this work to the memory of Professor Ilya Prigogine, who initiated this activity in 1997 and whose interesting and most enlightening advices ...

An imaging spectrometer is an instrument that captures a continuous spectrum of light (often ranging from 460nm to 2.5μm) for every pixel in a photograph. Using this type of instrument an image can be taken of any subject and detailed spectral analysis can be run on any part of the image produced. Hyperpectral image umixming is the process by which hyperspectral images are broken down into thei...

A new algorithm to estimate amplitude, delay, phase, and frequency offset of a received signal is presented. The frequency-offset estimation is performed by maximizing, with respect to the conjugate cycle frequency, the projection of the measured conjugatecyclic-autocorrelation function of the received signal over the true conjugate second-order cyclic autocorrelation. It is shown that this est...

It is important to estimate the ridge distance accurately, an intrinsic texture property of a fingerprint image. Up to now, only several articles have touched directly upon ridge distance estimation. Little has been published providing detailed evaluation of methods for ridge distance estimation, in particular, the traditional spectral analysis method applied in the frequency field. In this pap...

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...

We characterize the statistical properties of the frequency-wavenumber periodogram of randomly-driven waves in a hypothetical, one-dimensional, spatially inhomogeneous, stationary medium. The derived properties are used to formulate a conceptually simple test of solar oscillation power spectra to estimate the separate contributions of true dissipation and inhomogeneous structure to the linewidt...

The new health and usage monitoring systems will out perform the current ones in term of accuracy and computing time. The data therefore need to be better processed. Data in frequency domain, or spectra, are widely used thank for the richness of information. To estimate the spectrum such methods as non parametric and parametric ones may be used. This paper discusses about parametric signal spec...