eod project added

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Fabian Sinz 2014-10-31 15:58:08 +01:00
parent 2c1d9d93fa
commit 91f9a36ab0
3 changed files with 71 additions and 0 deletions

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latex:
pdflatex *.tex > /dev/null
pdflatex *.tex > /dev/null
clean:
rm -rf *.log *.aux *.zip *.out auto
rm -f `basename *.tex .tex`.pdf
zip: latex
zip `basename *.tex .tex`.zip *.pdf *.dat *.mat

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projects/project_eod/eod.tex Executable file
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\documentclass[addpoints,10pt]{exam}
\usepackage{url}
\usepackage{color}
\usepackage{hyperref}
\pagestyle{headandfoot}
\runningheadrule
\firstpageheadrule
\firstpageheader{Scientific Computing}{Project Assignment}{11/05/2014
-- 11/06/2014}
%\runningheader{Homework 01}{Page \thepage\ of \numpages}{23. October 2014}
\firstpagefooter{}{}{}
\runningfooter{}{}{}
\pointsinmargin
\bracketedpoints
%\printanswers
%\shadedsolutions
\begin{document}
%%%%%%%%%%%%%%%%%%%%% Submission instructions %%%%%%%%%%%%%%%%%%%%%%%%%
\sffamily
% \begin{flushright}
% \gradetable[h][questions]
% \end{flushright}
\begin{center}
\input{../disclaimer.tex}
\end{center}
%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%
\begin{questions}
\question In the data file {\tt EOD\_data.mat} you find a time trace
and the {\em electric organ discharge (EOD)} of a weakly electric
fish {\em Apteronotus leptorhynchus}.
\begin{parts}
\part Load and plot the data in an appropriate way. Time is in
seconds and the voltage is in mV/cm.
\part Fit the following curve to the eod (select a smaller time
window for fitting, not the entire trace) using least squares:
$$f_{\omega_0,b_0,\varphi_1, ...,\varphi_n}(t) = b_0 +
\sum_{j=1}^n \sin(2\pi j\omega_0\cdot t + \varphi_j ).$$
$\omega_0$ is called {\em fundamental frequency}. The single terms
$\sin(2\pi j\omega_0\cdot t + \varphi_j )$ are called {\em
harmonic components}. The variables $\varphi_j$ are called {\em
phases}. For the beginning choose $n=3$.
\part Play around with $n$ and see how the fit changes. Plot the
fits and the original curve for different choices of $n$. If you
want you can also play the different fits and the original as
sound.
\end{parts}
\end{questions}
\end{document}