+%include talk.fmt
+\section{FIR Filter}
+
+\begin{frame}
+ \frametitle{Example: FIR Filter}
+ \begin{itemize}
+ \item FIR Filters, and digital filters in general are essential components in radio's, receivers, and cellphones.
+ \item Equation for a FIR Filter: \\
+ \[
+ y_t = \sum\nolimits_{i = 0}^{n - 1} {x_{t - i} \cdot h_i }
+ \]
+ \end{itemize}
+\end{frame}
+
+\begin{frame}
+ \frametitle{FIR Filter}
+ \[
+ y_t = \sum\nolimits_{i = 0}^{n - 1} {x_{t - i} \cdot h_i }
+ \]
+\end{frame}
+
+\input{christiaan/dotproduct}
+
+\begin{frame}
+ \frametitle{FIR Filter}
+ \[
+ y_t = \sum\nolimits_{i = 0}^{n - 1} {x_{t - i} \cdot h_i }
+ \] \\
+ \begin{verbatim}
+ fir (State pxs) x = (pxs**hs, State (pxs<++x))
+ where hs = $(vectorTH [2::Int16,3,-2,4])
+ \end{verbatim}
+ \centerline{\begin{tabular}{rl}
+ |pxs| & Previous x's (state)\\
+ |x| & New input value\\
+ |pxs <++ x| & Remember new |x|, remove oldest\\
+ |pxs ** hs| & Output
+ \end{tabular}}
+
+\end{frame}
+
+\begin{frame}
+ \frametitle{FIR Filter}
+ \centerline{\Huge{Demo}}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Synthesized Output}
+ \vspace{-0.8em}
+ \begin{figure}
+ \centerline{\includegraphics[width=\paperwidth,trim=9mm 4cm 14mm 4cm, clip=true]{fir0.png}}
+ \end{figure}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Synthesized Output}
+ \vspace{-0.8em}
+ \begin{figure}
+ \centerline{\includegraphics[width=\paperwidth,trim=9mm 4cm 16.5cm 4cm, clip=true]{fir1.png}}
+ \end{figure}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Synthesized Output}
+ \vspace{-0.8em}
+ \begin{figure}
+ \centerline{\includegraphics[width=\paperwidth,trim=3cm 4cm 4cm 4cm, clip=true]{fir2.png}}
+ \end{figure}
+\end{frame}
\ No newline at end of file