From 004dae94321e7a4a2d77acc0ca5815909969b6ec Mon Sep 17 00:00:00 2001
From: Daniel Thiem <info@daniel-thiem.de>
Date: Mon, 24 Sep 2012 12:28:32 +0200
Subject: [PATCH] Erweiterung kovarianz

---
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 document.tex |   10 +-
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 %%EOF
diff --git a/document.tex b/document.tex
index 41e6c09..dac6158 100644
--- a/document.tex
+++ b/document.tex
@@ -22,7 +22,7 @@
 
 \title{Stochastische Signale und Systeme}
 \subtitle{Zusammenfassung Formeln}
-\subsubtitle{Autor: Daniel Thiem - studium@daniel-thiem.de\\Version 0.9.2 - 24.09.2012}
+\subsubtitle{Autor: Daniel Thiem - studium@daniel-thiem.de\\Version 0.9.3 - 24.09.2012}
 
 \maketitle
 \newpage
@@ -309,10 +309,18 @@ c_{XX}(\kappa)=r_{XX}(\kappa)-(\E[X(n)])^2
 \end{equation}
 
 \subsection{Kovarianz einer zusammengesetzten Funktion}
+\begin{subequations}
 Falls $Y(n)=X(n)+V(n)$ und $X(n)$ ist von $V(n)$ statistisch unabhängig, dann gilt:
 \begin{equation}
 c_{YY}(\kappa)=C_{XX}(\kappa)+C_{VV}(\kappa)
 \end{equation}
+Ist $X(n)$ jedoch abhängig von $V(n)$, so gilt:
+\begin{equation}
+c_{YY}(\kappa)=C_{XX}(\kappa)+C_{VV}(\kappa)+C_{XV}(\kappa)+C_{VX}(\kappa)
+\end{equation}
+
+\end{subequations}
+
 \subsection{Überführung der Central-SOMF in die Varianz}
 \begin{equation}
 c_{XX}(0)=\Var(X)