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Unified Green’s Function Retrieval by Cross Correlation
Physical Review Letters, 2006 It has been shown by many authors that the cross correlation of two recordings of a diffuse wave field at different receivers yields the Green's function between these receivers. Recently the theory has been extended for situations where time-reversal invariance does not hold (e.g., in attenuating media) and where source-receiver reciprocity breaks ...
Wapenaar, C.P.A. (author) +2 more
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On the cross-correlation function of a nonlinear network
Proceedings of the IEEE, 1977It is shown that the shape of the cross-correlation function of a nonlinear network consisting of the cascade connection of a linear network, a memoryless nonlinearity (NL) and a second linear network is independent, in the Gaussian case, of the presence of NL only when NL is not even. An explicit expression for the cross-correlation function of such a
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Performance Evaluation of Cross Correlation Functions Based on Correlation Filters
2021 20th International Symposium on Communications and Information Technologies (ISCIT), 2021This paper proposes performance evaluation of cross correlation (CC) functions using signal-to-noise ratio (SNR) and peak-to-correlation energy (PCE) from the viewpoint of correlation filters. Correlation functions can be thought as the output from the correlation filters.
Shunsuke Yamaki +3 more
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Functional connectivity by cross-correlation clustering
Neurocomputing, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dodel, S., Herrmann, J., Geisel, T.
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Applications of cross-correlation functions
Wear, 2011Abstract We describe several examples where we use cross-correlation functions to quantify the similarity of 2D surface profiles or of 3D areal surface topography images. The applications have included (1) the manufacture of standard reference material (SRM) bullets and casings, (2) methods to assess whether bullets or casings have been fired by the ...
T.V. Vorburger +6 more
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The Auto- and Cross-Correlations of Walsh Functions
SIAM Journal on Applied Mathematics, 1977The correlations of Walsh functions are defined and some of their properties derived. One property proved is a recursion relation, which relates correlations of high index functions to those of low index functions. Successive.applications of the equations yield an expression for evaluating the correlations at a restricted value of the time shift.
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Bounds on the Cross-Correlation Functions of State m-Sequences
IEEE Transactions on Communications, 1987Summary: The performance of the periodic Hamming correlation function of the sequences of states of m-sequence simple linear feedback shift register generators is evaluated. We call these sequences state m-sequences. Theoretical lower and upper bounds on the peaks of the Hamming cross- correlation functions of those sequences, which are often used in ...
A. A. Shaar +2 more
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On cross-correlation properties of Boolean functions
International Journal of Computer Mathematics, 2011The relationship among cross-correlation of arbitrary four Boolean functions is presented. Several known cross-correlation properties of Boolean functions are generalized. Based on them, a lower bound for the maximal cross-correlation (in absolute value) of two Boolean functions (if one of the functions is bent) is obtained.
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The angular cross-correlation function of cross-section fluctuations
Nuclear Physics, 1964Abstract The fluctuations of a compound-nucleus cross-section with energy are considered as a function of angle. In general there is a coherence angle, analogous to the coherence energy of the auto-correlation, within which the fluctuations are correlated. The magnitude of the coherence angle is ( kR ) −1 .
D.M. Brink, R.O. Stephen, N.W. Tanner
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Cross correlation functions in protein dynamics and function.
Journal of Molecular Liquids, 1989Abstract The role of time cross correlation functions induced in liquid water by protein function and dynamics is discussed in the context of recent computer simulations of the gramicidin channel by Swamy and Clementi. On the basis of time autocorrelation functions already computed for this system, such as the orientational and linear velocity auto ...
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