Deep surveys have recently discovered galaxies at the tail end of the epoch of reionization. In the near future, these discoveries will be complemented by a new generation of low-frequency radio observatories that will map the distribution of neutral hydrogen in the intergalactic medium through its redshifted 21cm emission. In this paper we calculate the expected cross-correlation between the d...

A new approach for frequency analysis of recorded signals and readout the frequency of harmonics is presented in the paper. The main purpose has been achieved by the cross-correlation function and Hilbert transform. Using the method presented in the paper, there is another possibility to observe and finally to identify single harmonic apart from commonly used Fourier transform. Identification o...

In this study, we first build two empirical cross-correlationmatrices in the US stockmarket by two different methods, namely the Pearson’s correlation coefficient and the detrended cross-correlation coefficient (DCCA coefficient). Then, combining the twomatriceswith the method of random matrix theory (RMT), we mainly investigate the statistical properties of cross-correlations in the US stock m...

We describe an analysis of the galaxy–absorber cross-correlation function ξga(v, ρ) as a function of velocity separation v, impact parameter separation ρ, and absorber Lyα equivalent width W on impact parameter scales that extend up to ≈ 1 h Mpc.

A multi-sites precipitation time series generator for engineering designs is currently being developed. The objective is to generate several time series’ simultaneously with correct inter-station relationships. Therefore, a model to estimate correlation between stations for arbitrary points in a project area is needed, using rain gauge data as well as radar data. Two methods are applied to comp...

This document provides a detailed discussion of the mathematical theory behind how the VSRT Interferometer works, and how it simulates a modern cross-correlation interferometer that professional radio astronomers use. This discussion, in general, is not intended for students. Instructors are advised to read this and decide for themselves whether their students would benefit from such a discussi...

Let d = (3 +1) 20 , where k is an odd integer. We show that the magnitude of the cross-correlation values of a ternary m-sequence {st} of period 3 − 1 and its decimated sequence {sdt} is upper bounded by 5 √ 3n + 1, where n = 4k.

Background Semi-automated segmentation using deformable registration of atlases consisting of presegmented patient images can facilitate the tedious task of delineating structures and organs in patients subjected to radiotherapy planning. However, a generic atlas based on a single patient may not function well enough due to the anatomical variation between patients. Fusion of segmentation propo...

We study the clustering properties of barred galaxies using data from the Sloan Digital Sky Survey (SDSS). We compute projected redshift-space two-point cross-correlation functions wp(rp) for a sample of nearly 1000 galaxies for which we have performed detailed structural decompositions using the methods described in Gadotti (2009). The sample includes 286 barred galaxies. The clustering of bar...

The measurement of Doppler velocity shifts in spectra is a ubiquitous theme in astronomy, usually handled by computing the cross-correlation of the signals, and finding the location of its maximum. This paper addresses the problem of the determination of wavelength or velocity shifts among multiple spectra of the same, or very similar, objects. We implement the classical cross-correlation metho...