ranking the projects, todos and fixes

projects/project_eod/eod.tex

@@ -37,8 +37,18 @@ multiples of the fundamental frequency).
     the beginning choose $n=3$.
     \part Try different choices of $n$ and see how the fit
     changes. Plot the fits and the section of the original curve that
-    you used for fitting for different choices of $n$. Also plot the
-    fitting error as a function of $n$.
+    you used for fitting for different choices of $n$.
+    \part \label{fiterror} Plot the fitting error as a function of $n$.
+    What do you observe?
+    \part Another way to quantify the quality of the fit is to compute
+    the correlation coefficient between the fit and the
+    data. Illustrate this correlation for a few values of $n$. Plot
+    the correlation coefficient as a function of $n$.  What is the
+    minimum $n$ needed for a good fit? How does this compare to the
+    results from (\ref{fiterror})?
+    \part Plot the amplitudes $\alpha_j$ and phases $\varphi_j$ as a
+    function of the frequencies $\omega_j$ --- the amplitude and phase
+    spectra, also called ``Bode plot''.
     \part Why does the fitting fail when you try to fit the entire recording?
     \part (optional) If you want you can also play the different fits
     and the original as sound (check the help).