1.1 --- a/doc-src/isac/jrocnik/calulations.tex	Mon Feb 13 17:40:30 2012 +0100
     1.2 +++ b/doc-src/isac/jrocnik/calulations.tex	Tue Feb 14 22:55:03 2012 +0100
     1.3 @@ -21,8 +21,8 @@
     1.4  %------------------------------------------------------------------------------
     1.5  %FOURIER
     1.6  
     1.7 -\section*{Fourier Transformation}
     1.8 -\subsection*{Problem\endnote{Problem submitted by Bernhard Geiger. Originally fragment of the exam to \emph{Signaltransformationen VO} from 04.03.2011. Translated from German.}}
     1.9 +\subsection{Fourier Transformation}
    1.10 +\subsubsection*{Problem\endnote{Problem submitted by Bernhard Geiger. Originally fragment of the exam to \emph{Signaltransformationen VO} from 04.03.2011. Translated from German.}}
    1.11  \textbf{(a)} Determine the fourier transform for the given rectangular impulse:
    1.12  
    1.13  \begin{center}
    1.14 @@ -45,7 +45,7 @@
    1.15     \right.$
    1.16  \end{center}
    1.17  
    1.18 -\subsection*{Solution}
    1.19 +\subsubsection{Solution}
    1.20  \textbf{(a)}
    1.21  \onehalfspace{
    1.22  \begin{tabbing}
    1.23 @@ -103,8 +103,8 @@
    1.24  %------------------------------------------------------------------------------
    1.25  %CONVOLUTION
    1.26  
    1.27 -\section*{Convolution}
    1.28 -\subsection*{Problem\endnote{Problem submitted by Bernhard Geiger. Originally part of the SPSC Problem Class 2, Summer term 2008}}
    1.29 +\subsection{Convolution}
    1.30 +\subsubsection*{Problem\endnote{Problem submitted by Bernhard Geiger. Originally part of the SPSC Problem Class 2, Summer term 2008}}
    1.31  Consider the two discrete-time, linear and time-invariant (LTI) systems with the following impulse response:
    1.32  
    1.33  \begin{center}
    1.34 @@ -113,7 +113,7 @@
    1.35  \end{center}
    1.36  
    1.37  The two systems are cascaded seriell. Derive the impulse respinse of the overall system $h_c[n]$.
    1.38 -\subsection*{Solution}
    1.39 +\subsubsection*{Solution}
    1.40  
    1.41  \doublespace{
    1.42  \begin{tabbing}
    1.43 @@ -152,15 +152,15 @@
    1.44  %------------------------------------------------------------------------------
    1.45  %Z-Transformation
    1.46  
    1.47 -\section*{$\cal Z$-Transformation}
    1.48 -\subsection*{Problem\endnote{Problem submitted by Bernhard Geiger. Originally part of the signal processing problem class 5, summer term 2008.}}
    1.49 +\subsection{$\cal Z$-Transformation\label{sec:calc:ztrans}}
    1.50 +\subsubsection*{Problem\endnote{Problem submitted by Bernhard Geiger. Originally part of the signal processing problem class 5, summer term 2008.}}
    1.51  Determine the inverse $\cal{z}$ transform of the following expression. Hint: applay the partial fraction expansion.
    1.52  
    1.53  \begin{center}
    1.54  $X(z)=\frac{3}{z-\frac{1}{4}-\frac{1}{8}z^{-1}},\ \ x[n]$ is absolute summable
    1.55  \end{center}
    1.56  
    1.57 -\subsection*{Solution}
    1.58 +\subsubsection*{Solution}
    1.59  \onehalfspace{
    1.60  \begin{tabbing}
    1.61  000\=\kill