From 42acd8f2af0459fcfeb9bb79ec48c3f95358b5e0 Mon Sep 17 00:00:00 2001
From: Jan Grewe <jan.grewe@g-node.org>
Date: Sat, 1 Nov 2014 18:48:10 +0100
Subject: [PATCH] assignment for vector strength projec

---
 projects/project_vector_strength/Makefile     | 10 +++
 .../vector_strenght.tex                       | 66 +++++++++++++++++++
 2 files changed, 76 insertions(+)
 create mode 100644 projects/project_vector_strength/Makefile
 create mode 100755 projects/project_vector_strength/vector_strenght.tex

diff --git a/projects/project_vector_strength/Makefile b/projects/project_vector_strength/Makefile
new file mode 100644
index 0000000..dad25ce
--- /dev/null
+++ b/projects/project_vector_strength/Makefile
@@ -0,0 +1,10 @@
+latex:
+	pdflatex *.tex > /dev/null
+	pdflatex *.tex > /dev/null
+
+clean:
+	rm -rf *.log *.aux *.zip *.out auto
+	rm -f `basename *.tex .tex`.pdf
+
+zip: latex
+	zip `basename *.tex .tex`.zip *.pdf *.dat *.mat
diff --git a/projects/project_vector_strength/vector_strenght.tex b/projects/project_vector_strength/vector_strenght.tex
new file mode 100755
index 0000000..f708af1
--- /dev/null
+++ b/projects/project_vector_strength/vector_strenght.tex
@@ -0,0 +1,66 @@
+\documentclass[addpoints,11pt]{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 %%%%%%%%%%%%%%%%%%%%%%%%%
+\section*{Quantifying the coupling of action potentials to the EOD.}
+P-unit electrorecptors are driven by the fish's self-generated field,
+the EOD. In this project you have to quantify the strength of this
+coulpling using the \textbf{vector strength}:
+\begin{equation}
+ VS = \sqrt{\left(\frac{1}{n}\sum_{i=1}^{n}cos
+ \alpha_i\right)^2 + \left(\frac{1}{n}\sum_{i = 1}^{n} sin \alpha_i
+ \right)^2},
+\end{equation}
+with $n$ the number of spikes and $\alpha_i$ the timing of the each
+spike expressed as the phase relative to the EOD. The vector strength
+varies between $0$ and $1$ for no phase locking to perfect phase
+locking, respectively.
+
+\begin{questions}
+  \question In the accompanying datasets you find recrordings of the
+  ``baseline'' activity of P-unit electrorecptors of different weakly
+  electric fish of the species \textit{Apteronotus leptorhynchus}.
+  The files further contain respective recordings of the \textit{eod},
+  i.e. the fish's field.
+  \begin{parts}
+    \part Plot an average of the single EOD cylces of each fish 
+    together with an respective PSTH.
+    \part Implement a function that estimates the vector strength
+    between the \textit{eod} and the spikes.
+    \part Create a polar plot that shows the timing of the spikes 
+    relatve to the EOD.
+    \part Analyze the baseline responses of each fish and extract 
+    measures from them as you have done in week 3. Plot the results
+    appropriately.
+  \end{parts}
+\end{questions}
+
+\end{document}