As all the physical quantities describing such a system are spherical tensors, it is shown that homogeneity and isotropy imply for the cross-correlation functions such conditions that they can be written with only standard spherical functions and a few scalar functions in which the whole physical information is included. The two limiting cases of a system with

We report evidence of a deep interplay between cross-correlations hierarchical properties and multifractality of New York Stock Exchange daily stock returns. The degree of multifractality displayed by different stocks is found to be positively correlated to their depth in the hierarchy of cross-correlations. We propose a dynamical model that reproduces this observation along with an array of ot...

In this study, seismic interferometry is investigated in which the Green’s function is estimated between two receivers by cross-correlation and integration over sources. For smoothly varying source strengths, the dominant contributions for the correlation integral come from the stationary phase directions in the forward and backward directions from the alignment of the two receivers. Gaussian b...

Geohazard monitoring and assessment is one of the major application research fields of DiscoveryNet project serving for scientific knowledge discovery via distributed high throughput devices. This paper reports the algorithm and software development of imageodesy, its implementation on MPI and GRID. The imageodesy techniques based on normalised-cross correlation and phase correlation are capabl...

This study investigates seismic interferometry in which the Green’s function is estimated between two receivers by cross-correlation and integration over sources. For smoothly varying source strengths, the dominant contributions of the correlation integral come from the stationary phase directions in the forward and backward directions from the alignment of the two receivers. Gaussian beams can...

{ The behaviour of two well-known image registration techniques, namely the cross-correlation and the phase-correlation algorithms, for input signals corrupted by additive white noise, is studied in the frequency domain. Useful expressions of the displacement measurement error variance are presented, which allow for the analysis of the accuracy of both methods.

Analyzing spatial-temporal characteristics of traffic in large-scale networks requires both a suitable analysis method and a means to reduce the amount of data that must be collected. Of particular interest would be techniques that reduce the amount of data needed, while simultaneously retaining the ability to monitor spatial-temporal behavior network-wide. In this paper, we propose such a meth...

In this work, the normalized time auto-correlation function of the electric field of the light g (τ ) that is scattered by the two kinds of particles in dispersion is investigated. The results show that the logarithm of g (τ) can be consistent with a line and many reasons can cause the deviations between an exponentiality and plots of g (τ ) as a function of delay time τ . The nonexponentiality...

BACKGROUND Disease surveillance allows prospective monitoring of patterns in disease incidence in the general community, specific institutions (e.g. hospitals, elderly care homes), and other important population subgroups. Surveillance activities are now routinely conducted in many developed countries and in certain easy-to-reach areas of the developing ones. However due to limited health resou...

Previous systems for measuring cross-correlated light scattering by small particles suspended in a liquid with multiple-scattering suppression have illuminated the particles with two laser beams. It is shown that multiple-scattering suppression should also occur in cross correlation for a system that employs a single laser beam and two closely spaced detectors with wide fields of view. The sing...