Add files for FIR

[matthijs/master-project/final-presentation.git] / christiaan / fir.lhs

diff --git a/christiaan/fir.lhs b/christiaan/fir.lhs
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+%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