fix problems in assignments

This commit is contained in:
Jan Grewe 2015-11-03 17:03:23 +01:00
parent cdd40dc3a7
commit 84c950c246
2 changed files with 10 additions and 7 deletions

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@ -39,14 +39,15 @@
\part Load and plot the data in an appropriate way. Time is in \part Load and plot the data in an appropriate way. Time is in
seconds and the voltage is in mV/cm. seconds and the voltage is in mV/cm.
\part Fit the following curve to the eod (select a small time \part Fit the following curve to the eod (select a small time
window, a few tens of milliseconds, for fitting, not the entire window, containing only 2 or three electric organ discharges, for
trace) using least squares: fitting, not the entire trace) using least squares:
$$f_{\omega_0,b_0,\varphi_1, ...,\varphi_n}(t) = b_0 + $$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 ).$$ \sum_{j=1}^n \alpha_j \cdot \sin(2\pi j\omega_0\cdot t + \varphi_j
$\omega_0$ is called {\em fundamental frequency}. The single terms ).$$ $\omega_0$ is called {\em fundamental frequency}. The single
$\sin(2\pi j\omega_0\cdot t + \varphi_j )$ are called {\em terms $\alpha_j \cdot \sin(2\pi j\omega_0\cdot t + \varphi_j )$
harmonic components}. The variables $\varphi_j$ are called {\em are called {\em harmonic components}. The variables $\varphi_j$
phases}. For the beginning choose $n=3$. are called {\em phases}, the $\alpha_j$ are the amplitudes. For
the beginning choose $n=3$.
\part Try different choices of $n$ and see how the fit \part Try different choices of $n$ and see how the fit
changes. Plot the fits and the original curve for different changes. Plot the fits and the original curve for different
choices of $n$. Also plot the fitting error as a function of choices of $n$. Also plot the fitting error as a function of

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@ -51,6 +51,8 @@ reconstruct the stimulus a neuron has been stimulated with.
data. data.
\begin{parts} \begin{parts}
\part Estimate the STA and plot it. \part Estimate the STA and plot it.
\part Implement a function that does the reconstruction of the
stimulus using the STA.
\part Implement a function that estimates the reconstruction \part Implement a function that estimates the reconstruction
error using the mean-square-error and express it relative to the error using the mean-square-error and express it relative to the
variance of the original stimulus. variance of the original stimulus.