This paper investigates the reconstruction of elastic Green's function from the cross-correlation of waves excited by random noise in the context of scattering theory. Using a general operator equation-the resolvent formula-Green's function reconstruction is established when the noise sources satisfy an equipartition condition. In an inhomogeneous medium, the operator formalism leads to general...

On the Cross-Correlation of a p-ary m-Sequence and its Decimated Sequences by d =

In this work, we study the problem of measuring relational similarity between two word pairs (e.g., silverware:fork and clothing:shirt). Due to the large number of possible relations, we argue that it is important to combine multiple models based on heterogeneous information sources. Our overall system consists of two novel general-purpose relational similarity models and three specific word re...

We demonstrate that a time delay in weak coupling between two self-sustained oscillators can be estimated from the observed time series data. We present two methods which are based on the analysis of interrelations between the phases of the signals. We show analytically and numerically that irregularity of the phase dynamics (due to the intrinsic noise or chaos) is essential for determination o...

It has been experimentally demonstrated that the Green's function between two points could be recovered using the cross-correlation function of the ambient noise measured at these two points. This paper investigates the theory behind this result in the simple case of a homogeneous medium with attenuation.

Article history: Available online 7 January 2010

where x̄ is the complex conjugate of x This paper uses the machinery of almost periodic functions to prove that even without uniform convergence the connection between a pair of almost periodic functions and the constants of the associated Fourier series exists for both the convolution and cross-correlation. The general results for two almost periodic functions are narrowed and applied to Ramanu...

Eye detection is important for finding locations of the face landmarks such as nose, ear and mouth on the face. Template matching and normalized cross correlation techniques are used for eye detection. The template matching is better than appearance and feature based method for eye detection in terms of accuracy. The experiment is performed on chufs database of face image for detection of eyes....

Radio-quiet QSO environments-I. The correlation of QSOs and b J < 23 galaxies. ABSTRACT In this paper we present results of an analysis of radio-quiet QSO environments. The aim is to determine the relation between QSOs, galaxies and the mass distribution as a function of redshift. We cross-correlate a sample of ∼ 150 QSOs from optically and X-ray selected catalogues with faint, b J < 23, galaxi...

In time-distance helioseismology, the time signals (Doppler shifts) at two points on the solar surface, separated by a fixed angular distance are crosscorrelated, and this leads to a wave packet signal. Accurately measuring the travel times of these wave packets is crucial for inferring the sub-surface properties in the Sun. The observed signal is quite noisy, and to improve the signal-tonoise ...