Started writing full text.

main.tex

@@ -1,12 +1,22 @@
 \documentclass[a4paper, 12pt]{article}
 
+\usepackage[left=2.5cm,right=2.5cm,top=2cm,bottom=2cm,includeheadfoot]{geometry}
+\usepackage{graphicx}
+\usepackage{svg}
+\usepackage{import}
+\usepackage{float}
+\usepackage{placeins}
 \usepackage{parskip}
 \usepackage{amsmath}
 \usepackage{amssymb}
+\usepackage[separate-uncertainty=true, locale=DE]{siunitx}
+\sisetup{output-exponent-marker=\ensuremath{\mathrm{e}}}
 \usepackage[
-backend=biber,
-style=authoryear,
-]{biblatex}
+    backend=biber,
+    style=authoryear,
+    mincitenames=1,
+    maxcitenames=2
+    ]{biblatex}
 \addbibresource{cite.bib}
 
 \title{Emergent intensity invariance in a physiologically inspired model of the grasshopper auditory system}
@@ -103,9 +113,35 @@ $\rightarrow$ More general, simpler, unfitted formalized Gabor filter bank
 
 \section{Developing a functional model of\\the grasshopper auditory pathway}
 
+\begin{figure}[!ht]
+    \centering
+    \def\svgwidth{\textwidth}
+    \import{figures/}{fig_auditory_pathway.pdf_tex}
+    \caption[Grasshopper auditory system]{\textbf{The auditory system of
+    grasshoppers.}}
+    \label{fig:pathway}
+\end{figure}
+\FloatBarrier
 
 \subsection{Population-driven signal pre-processing}
 
+Grasshoppers receive airborne sound waves by a tympanal organ at each side of
+the thorax. The tympanal membrane~(Fig.\,\ref{fig:pathway}) vibrates in
+response to incoming sound waves in a frequency-dependent manner: Vibrations of
+specific frequencies are focused on different membrane areas, while other
+frequencies are attenuated~(\mbox{\cite{michelsen1971frequency}};
+\mbox{\cite{windmill2008time}}; \mbox{\cite{malkin2014energy}}). This
+mechanical resonance filter can be modelled by an initial bandpass filter
+\begin{equation}
+    \filt(t)\,=\,\raw(t)\,*\,\bp, \qquad \fc\,=\,5\,\text{kHz},\,30\,\text{kHz}
+    \label{eq:bandpass}
+\end{equation}
+applied to the acoustic input signal $\raw(t)$.
+
+
+
+
+
 "Pre-split portion" of the auditory pathway:\\
 Tympanal membrane $\rightarrow$ Receptor neurons $\rightarrow$ Local interneurons
 
@@ -118,12 +154,6 @@ Initial: Continuous acoustic input signal $x(t)$
 
 Filtering of behaviorally relevant frequencies by tympanal membrane\\
 $\rightarrow$ Bandpass filter 5-30 kHz
-%
-\begin{equation}
-    \filt(t)\,=\,\raw(t)\,*\,\bp, \qquad \fc\,=\,5\,\text{kHz},\,30\,\text{kHz}
-    \label{eq:bandpass}
-\end{equation}
-%
 Extraction of signal envelope (AM encoding) by receptor population\\
 $\rightarrow$ Full-wave rectification, then lowpass filter 500 Hz
 %
@@ -303,7 +333,7 @@ approximated as temporal averaging over a suitable time interval $\tlp$ ($\tlp >
     \label{eq:feat_avg}
 \end{equation}
 %
-$\rightarrow$ Temporal averaging over $\bi(t)\in[0,1]$ (Eq.\ref{eq:binary}) gives
+$\rightarrow$ Temporal averaging over $\bi(t)\in[0,1]$ (Eq.\,\ref{eq:binary}) gives
 ratio of time $T_1$ where $c_i(t)>\thr$ to total averaging interval $\tlp$\\
 $\rightarrow$ Feature $\feat(t)$ approximately represents supra-threshold fraction of $\tlp$