[cig-commits] r13382 - seismo/3D/ADJOINT_TOMO/flexwin/latex
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:
seismo/3D/ADJOINT_TOMO/flexwin/latex/method.tex
Log:
Modified CC formula
Modified: seismo/3D/ADJOINT_TOMO/flexwin/latex/method.tex
===================================================================
--- 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.}
\begin{equation}
-\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}}
\end{equation}
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 $t$
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