alessia at geodynamics.org alessia at geodynamics.org
Mon Nov 24 07:32:19 PST 2008

Author: alessia
Date: 2008-11-24 07:32:19 -0800 (Mon, 24 Nov 2008)
New Revision: 13382

Modified:
Log:
Modified CC formula

===================================================================
--- seismo/3D/ADJOINT_TOMO/flexwin/latex/method.tex	2008-11-24 04:54:07 UTC (rev 13381)
+++ seismo/3D/ADJOINT_TOMO/flexwin/latex/method.tex	2008-11-24 15:32:19 UTC (rev 13382)
@@ -287,8 +287,8 @@
cross-correlation function, $\mathrm{CC}={\rm max}[\Gamma(t)]$, where
%{\bf CHT: I DO NOT THINK THAT THIS REFLECTS THE IMPLEMENTATION.}
$$-\Gamma(t) = \frac {\int \widetilde{s}(t') \widetilde{d}(t'+t)\,\rmd t'} - { \left[\int \widetilde{s}^2(t')\,\rmd t' \int \widetilde{d}^2(t')\,\rmd t' \right]^{1/2}} +\Gamma(t) = \frac {\int \widetilde{s}(t') \widetilde{d}(t'-t)\,\rmd t'} + { \left[\int \widetilde{s}^2(t')\,\rmd t' \int \widetilde{d}^2(t'-t)\,\rmd t' \right]^{1/2}}$$
quantifies the similarity in shape between the $\widetilde{s}(t)$ and $\widetilde{d}(t)$
waveforms.  The time lag $\Delta \tau$ is defined as the value of $t$