example.tex

tex幻灯片模板

\documentclass[pdf,nocolorBG,slideColor,accumulate,contemporain]{prosper}
\usepackage{t1enc}
\usepackage{color}
\usepackage{times}
\usepackage{textcomp}
\usepackage{booktabs}
\usepackage{graphicx}
\usepackage{amsmath}
\usepackage{subfigure}
\usepackage{epsfig}

\title{Example of \LaTeX\ Prosper Slides}
\subtitle{Example subtitle}
\author{Author One \& Author Two}
\institution{KOM, Aalborg University}
\email{ \tt{ \{author1,author2\}@cpk.auc.dk} }
\slideCaption{KOM 2001}

%% \Logo{\includegraphics[height=0.85cm]{testlogo.eps}}

\input{setup}

%%% Insert the following when using white background 
\myitem{1}{\includegraphics[width=.4cm]{red-bullet-on-white.ps}}
\myitem{2}{\includegraphics[width=.3cm]{green-bullet-on-white.ps}}
\myitem{3}{\includegraphics[width=.2cm]{yellow-bullet-on-white.ps}}

\begin{document}
\maketitle


\begin{slide}{Complex scalar and vector differentiation}
\small{
  For complex scalar $\theta=\alpha+j\beta$, we define complex differentiation:
  \[ \frac{\partial J}{\partial \theta}\triangleq \frac{1}{2}\left (
    \frac{\partial J}{\partial \alpha} - j\frac{\partial J}{\partial
      \beta} \right )\]
Vector-differentiation is defined as:
\[ \frac{\partial J}{\partial \bs \theta} \triangleq \left (
\frac{\partial J}{\partial \theta_1},\dots,\frac{\partial J}{\partial \theta_n}
\right )^T\]
}
With these definitions it is straightforward to show that
\[ \frac{\partial \mb b^H\bs \theta}{\partial \bs \theta}=\mb
b^*,\qquad
\frac{\partial \bs \theta^H\mb b}{\partial \bs \theta}=\mb 0,\qquad
\frac{\partial \bs \theta^H\mb A\bs \theta}{\partial \bs \theta}=(\mb
A\bs \theta)^*
 \]
\end{slide}

\begin{slide}{Signal model}
Recall the FIR-filter model:
\Texfig[1]{figures/fir_filter}
The output of the filter is
\[ y[n]=\sum_{l=0}^{L}x[n-l]h[l]+w[n]\]
where $x[n]$ is the known transmitted signal (we assume $x[n]=0$ for
$n<0$).
\end{slide}

\begin{slide}{Array application}
{\footnotesize
Scatterplots at SNR=15db (blue) and SNR=25dB (red).
\begin{figure}
      \begin{center}
        \includegraphics*[height=6cm]{figures/scatter_zf_array_25_15.eps}
      \end{center}
    \end{figure}
 }
\end{slide}

\end{document}


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