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scientificComputing/projects/project_spectra/spectra.tex
2014-11-02 13:35:52 +01:00

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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 The accompanying file contains ten stimulus and response
sequences of a P-Unit of a weakly electric fish {\em Apteronotus
leptorhynchus}. Another matrix contains the corresponding {\em
electric organ discharge (EOD)} of the fish. The sampling rate is
100kHz.
\begin{parts}
\part Split the data in non-overlapping 200ms windows and plot
them in an appropriate way.
\part Compute the autocorrelation of the spike response as well as
the cross-correlation between stimulus and spike response.
\part Determine the fundamental stimulus frequency and the EOD
frequency using a Fourier transform.
\part Convolve the spike responses (windows) with a Gaussian of
appropriate size and compute the average Fourier amplitude
spectrum of the spike response. Plot the result in an appropriate
way.
\part Determine whether you can find peas in the amplitude
spectrum at the fundamental frequency of the EOD and/or the
stimulus and/or their difference.
\end{parts}
\end{questions}
\end{document}