<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass[a4paper,12pt,pdftex]{exam}

\newcommand{\ptitle}{Spectra}
\input{../header.tex}
\firstpagefooter{Supervisor: Jan Grewe}{phone: 29 74588}%
{email: jan.grewe@uni-tuebingen.de}

\begin{document}

\input{../instructions.tex}


%%%%%%%%%%%%%% 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 peak 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}
</pre></body></html>