Finished (:D) fig_invariance_thresh_lp_single.pdf.

Added/modified few plot functions.
Cleaned up simulation/plotting scripts regarding Thresh-LP.

main.tex

@@ -52,6 +52,7 @@
 \newcommand{\figb}{\textbf{b}}
 \newcommand{\figc}{\textbf{c}}
 \newcommand{\figd}{\textbf{d}}
+\newcommand{\fige}{\textbf{e}}
 
 % Math shorthands - Standard symbols:
 \newcommand{\dec}{\log_{10}} % Logarithm base 10
@@ -641,8 +642,8 @@ the signal for reliable song recognition.
                      different scales $\sca$.
                      \textbf{Right}:~Ratios of the standard deviation of
                      $\env(t)$, $\db(t)$, and $\adapt(t)$ relative to the
-                     respective reference standard deviation for input
-                     $\filt(t)=\noc(t)$.
+                     respective reference standard deviation $\sigma_{\eta}$
+                     for input $\filt(t)=\noc(t)$.
                      \figa{} and \figb:~Ideally, if $\filt(t)=\sca\cdot\soc(t)$, then
                      $\adapt(t)$ is intensity-invariant across all $\sca$.
                      \figc{} and \figd:~In practice, if
@@ -661,49 +662,32 @@ the signal for reliable song recognition.
     \centering
     \includegraphics[width=\textwidth]{figures/fig_invariance_thresh_lp_single.pdf}
     \caption{\textbf{Intensity invariance by thresholding and temporal
-                     averaging depends on the threshold value with regard to
-                     variable range but not saturation level.}
-                     Kernel response $c_i(t)$ is rescaled by $\sca$ and
-                     transformed into binary response $b_i(t)$ and further into
-                     feature $f_i(t)$. Threshold value $\thr$ is set to
-                     different percentiles of the the distribution of $c_i(t)$
-                     at $\sca=1$. Darker colors indicate higher values of
-                     $\thr$. Indicated time scale of $100\,$ms is the same for
-                     \textbf{a}-\textbf{c} (black bar).
-                     \textbf{a}:~50th percentile.
-                     \textbf{b}:~75th percentile.
-                     \textbf{c}:~100th percentile.
-                     \textbf{d}:~Average value of $f_i(t)$ during the song for
-                     the different $\thr$ in \textbf{a}-\textbf{c}.
+                     averaging depends on both the threshold value and the
+                     noise floor.}
+                     Synthetic input $\adapt(t)$ consists of song component
+                     $\soc(t)$ scaled by $\sca$ with additive noise component
+                     $\noc(t)$. Input $\adapt(t)$ is transformed into kernel
+                     response $c_i(t)$, binary response $b_i(t)$, and feature
+                     $f_i(t)$. Threshold value $\thr$ is set to multiples of
+                     the reference standard deviation $\sigma_{\eta}$ of $c_i(t)$ for input
+                     $\adapt(t)=\noc(t)$. Darker colors correspond to higher
+                     $\thr$.
+                     \textbf{Left}:~$\adapt(t)$, $c_i(t)$, $b_i(t)$, and
+                     $f_i(t)$ for different scales $\sca$ and threshold values
+                     $\thr$. Left-most column is is the pure-noise reference.
+                     \textbf{Right}:~Average value of $f_i(t)$ during the song
+                     for the different $\thr$.
+                     \figa:~Input $\adapt(t)$.
+                     \figb-\figd:~$c_i(t)$, $b_i(t)$, and $f_i(t)$ for the
+                     different $\thr$ based on the same $\adapt(t)$ from
+                     \figa{}.
+                     \fige:~Average value of $f_i(t)$ during the song for
+                     the different $\thr$ in \figb{}-\figd.
                      }
     \label{fig:inv_thresh-lp_single}
 \end{figure}
 \FloatBarrier
 
-\begin{figure}[!ht]
-    \centering
-    \includegraphics[width=\textwidth]{figures/fig_invariance_thresh_lp_single_noise.pdf}
-    \caption{\textbf{Intensity invariance by thresholding and temporal
-                     averaging depends on noise with regard to variable range
-                     but not saturation level.}
-                     Kernel response $c_i(t)$ is rescaled by $\sca$, mixed with
-                     fixed-scale noise component $\noc(t)$, and transformed
-                     into binary response $b_i(t)$ and further into feature
-                     $f_i(t)$. Threshold value $\thr$ is set to different
-                     percentiles of the the distribution of $c_i(t)$ at
-                     $\sca=1$. Darker colors indicate higher values of $\thr$.
-                     Indicated time scale of $100\,$ms is the same for
-                     \textbf{a}-\textbf{c} (black bar).
-                     \textbf{a}:~50th percentile.
-                     \textbf{b}:~75th percentile.
-                     \textbf{c}:~100th percentile.
-                     \textbf{d}:~Average value of $f_i(t)$ during the song for
-                     the different $\thr$ in \textbf{a}-\textbf{c}.
-                     }
-    \label{fig:inv_thresh-lp_single_noise}
-\end{figure}
-\FloatBarrier
-
 \begin{figure}[!ht]
     \centering
     \includegraphics[width=\textwidth]{figures/fig_invariance_thresh_lp_species.pdf}