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Bedingungen für gemeinsame Stationarität
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\title{Stochastische Signale und Systeme}
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\title{Stochastische Signale und Systeme}
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\subtitle{Zusammenfassung Formeln}
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\subtitle{Zusammenfassung Formeln}
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\subsubtitle{Autor: Daniel Thiem - studium@daniel-thiem.de\\Version 0.8 - 21.09.2012}
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\subsubtitle{Autor: Daniel Thiem - studium@daniel-thiem.de\\Version 0.8.1 - 24.09.2012}
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\maketitle
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\maketitle
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\newpage
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\newpage
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@ -269,6 +269,7 @@ r_{XX}(0) &\geq|r_{XX}(\kappa)| \quad ,|\kappa|>0
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\end{equation}
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\end{equation}
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\subsection{Gemeinsame Statonarität (joint stationary)}\label{jointstationary}
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\subsection{Gemeinsame Statonarität (joint stationary)}\label{jointstationary}
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Sei $X(n)$ und $Y(n)$ nach (\ref{stationary}) \emph{stationär}, dann sind die Prozesse gemeinsam stationär, wenn gilt:
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\begin{equation}
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\begin{equation}
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r_{XY} = r_{XY}(n_1-n_2) = r_{XY}(\kappa) \quad\text{mit}\quad \kappa=n_1-n_2
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r_{XY} = r_{XY}(n_1-n_2) = r_{XY}(\kappa) \quad\text{mit}\quad \kappa=n_1-n_2
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\end{equation}
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\end{equation}
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