Kinda finished analysis and figure for Log-HP invariance (WIP).

main.tex

@@ -620,6 +620,27 @@ to recover songs that have already sunken below the noise floor, which
 emphasizes the importance of a sufficiently high SNR at the intial reception of
 the signal for reliable song recognition.
 
+\begin{figure}[!ht]
+    \centering
+    \includegraphics[width=\textwidth]{figures/fig_invariance_log_hp.pdf}
+    \caption{\textbf{Intensity invariance by logarithmic compression and
+                     adaptation.}
+                     \textbf{a}:~Synthetic envelopes resulting from the
+                     mixture of song component $\soc(t)$ with scale $\sca$ and
+                     noise component $\noc(t)$ with fixed scale.
+                     \textbf{b}:~Corresponding logarithmically scaled envelopes.
+                     \textbf{c}:~Corresponding intensity-adapted envelopes.
+                     \textbf{d}:~Absolute SNRs of each representation relative
+                     to the representation without song component ($\sca=0$).
+                     \textbf{e}:~Same SNRs as in \textbf{d} but normalized to
+                     the maximum SNR for each representation.
+                     \textbf{f}:~Relative amplification of normalized SNRs
+                     relative to the normalized SNRs of the initial envelope.
+                     }
+    \label{fig:inv_log-hp}
+\end{figure}
+\FloatBarrier
+
 \subsection{Thresholding nonlinearity \& temporal averaging}
 
 The second key mechanism for the emergence of intensity invariance along the