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[pointprocesses] fixed spike count exercise

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Jan Benda 2021-01-25 18:42:05 +01:00
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commit 5e9ff32cd3
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pointprocesses/exercises/pointprocesses-1.tex
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@ -158,20 +158,25 @@
\question \qt{Statistics of spike counts}
Now let's have a look at the statistics of the spike counts.
\begin{parts}
\part Write a function that counts and returns a vector with the
number of spikes in windows of a given width $W$.
\part \label{counts} Write a function that counts with the number
of spikes in windows of a given width $W$. The spikes are passed
to the function as a cell array containing vectors of spike times.
The function returns a single vector with all the spike counts.
\begin{solution}
\lstinputlisting{counts.m}
\end{solution}
Use this function to generate a properly normalized histogram of
spike counts for the data of the three types of neurons. Use
100\,ms for the window width.
\part Generate a properly normalized histogram of spike counts for
the data of the three types of neurons. Use 100\,ms for the window
width and the function from (\ref{counts}) for computing the spike
counts.
Compare the distributions with the Poisson distribution expected
for a Poisson spike train:
In addition, compare the distributions with the Poisson
distribution expected for a Poisson spike train:
\[ P(k) = \frac{(\lambda W)^ke^{\lambda W}}{k!} \; , \] where
$\lambda$ is the rate of the spike train that you should estimate
from the data.
\begin{solution}
\lstinputlisting{counts.m}
\newsolutionpage
\lstinputlisting{spikecountshists.m}
\colorbox{white}{\includegraphics[width=1\textwidth]{spikecountshists}}