From 4e7adf7cfd10bb18c99f6ac584f398481d81a718 Mon Sep 17 00:00:00 2001 From: Joseph Hale Date: Mon, 24 Jan 2022 17:59:31 -0700 Subject: [PATCH] Complete `Influence of Cube Noisiness` Section After reviewing the data originally analyzed 7-8 months ago, I found additional nuances in the differences between 2 TPS and 5 TPS data that needed to be analyzed and explained for a complete and accurate discussion. This commit performs another minor reorganization of the essay structure to focus the disussion on one metric at a time as well as adding in new charts showing the additional nuances. The chart sizes are also standardized to allow for better layout in the final LaTeX document. Finally, I wrote up the full analysis for the first metric `Influence of Cube Noisiness` and got about 50% of the way through the second metric `Influence of Standard Deviation Threshold` --- thesis/draft/Chapters/Chapter7-Evaluation.tex | 120 +- .../perfect_detections_by_alt_min.png | Bin 13209 -> 36371 bytes .../perfect_detections_by_alt_min_2tps.png | Bin 0 -> 36189 bytes .../perfect_detections_by_alt_min_5tps.png | Bin 0 -> 21654 bytes .../perfect_detections_by_cube.png | Bin 24023 -> 29452 bytes .../perfect_detections_by_cube_2tps.png | Bin 0 -> 29460 bytes .../perfect_detections_by_cube_5tps.png | Bin 0 -> 24922 bytes .../perfect_detections_by_stdv.png | Bin 34604 -> 78790 bytes .../perfect_detections_by_stdv_2tps.png | Bin 0 -> 77313 bytes .../perfect_detections_by_stdv_5tps.png | Bin 0 -> 29203 bytes .../perfect_detections_by_window_size.png | Bin 19932 -> 75841 bytes ...perfect_detections_by_window_size_2tps.png | Bin 0 -> 74850 bytes ...perfect_detections_by_window_size_5tps.png | Bin 0 -> 27600 bytes thesis/draft/main.pdf | 9666 +++++++++-------- 14 files changed, 4920 insertions(+), 4866 deletions(-) create mode 100644 thesis/draft/Figures/7 Evaluation/perfect_detections_by_alt_min_2tps.png create mode 100644 thesis/draft/Figures/7 Evaluation/perfect_detections_by_alt_min_5tps.png create mode 100644 thesis/draft/Figures/7 Evaluation/perfect_detections_by_cube_2tps.png create mode 100644 thesis/draft/Figures/7 Evaluation/perfect_detections_by_cube_5tps.png create mode 100644 thesis/draft/Figures/7 Evaluation/perfect_detections_by_stdv_2tps.png create mode 100644 thesis/draft/Figures/7 Evaluation/perfect_detections_by_stdv_5tps.png create mode 100644 thesis/draft/Figures/7 Evaluation/perfect_detections_by_window_size_2tps.png create mode 100644 thesis/draft/Figures/7 Evaluation/perfect_detections_by_window_size_5tps.png diff --git a/thesis/draft/Chapters/Chapter7-Evaluation.tex b/thesis/draft/Chapters/Chapter7-Evaluation.tex index b22a211..bd37aa4 100644 --- a/thesis/draft/Chapters/Chapter7-Evaluation.tex +++ b/thesis/draft/Chapters/Chapter7-Evaluation.tex @@ -105,45 +105,91 @@ sequence from each run was then compared with the original "demo alg" to determine a percent similarity as a measure of the accuracy of the receiver under each set of parameters. -\newpage -\subsection{Number of Perfect Detections} -\begin{figure} -\begin{subfigure}{\textwidth} - \centering - \caption{Total number of perfect detections by cube} - \label{fig:perfect-detections-by-cube} - \includegraphics[width=0.75\linewidth]{Figures/7 Evaluation/perfect_detections_by_cube.png} -\end{subfigure}\\ +\subsection{Influence of Cube Noisiness} +\label{subsec:influence-cube-noisiness} + +The three cubes used for this analysis - the Gans 356, Gans XS, and +QiYi Qimeng - respectively represent quiet, normal, and loud speedcubes +(see Section \ref{subsec:signal-to-noise-ratio}). The louder speedcubes +were expected to cause more difficulties for decoding the transmitted +move sequence since they create more noise that may conflict with the +audible signal. Since all cubes produced more noise when turned at a +higher speed and there is less time for detection to complete, the +simulated turn speeds were also expected to experience inferior +performance during move sequence detection. +\begin{figure} +\caption{Perfect Detections by Cube} +\label{fig:perfect-detections-by-cube} \begin{subfigure}{\textwidth} \centering - \caption{Total number of perfect detections by window\_size} - \label{fig:perfect-detections-by-window-size} - \includegraphics[width=0.75\linewidth]{Figures/7 Evaluation/perfect_detections_by_window_size.png} -\end{subfigure}\\ - + \caption{Total number of perfect detections} + \label{fig:perfect-detections-by-cube-total} + \includegraphics[width=\linewidth]{Figures/7 Evaluation/perfect_detections_by_cube.png} +\end{subfigure}\\\\ \begin{subfigure}{\textwidth} \centering - \caption{Total number of perfect detections by stdv multiplier} - \label{fig:perfect-detections-by-stdv} - \includegraphics[width=0.75\linewidth]{Figures/7 Evaluation/perfect_detections_by_stdv.png} -\end{subfigure}\\ - + \caption{Total number of perfect detections at 2TPS} + \label{fig:perfect-detections-by-cube-2tps} + \includegraphics[width=\linewidth]{Figures/7 Evaluation/perfect_detections_by_cube_2tps.png} +\end{subfigure}\\\\ \begin{subfigure}{\textwidth} \centering - \caption{Total number of perfect detections by alt\_min} - \label{fig:perfect-detections-by-alt-min} - \includegraphics[width=0.75\linewidth]{Figures/7 Evaluation/perfect_detections_by_alt_min.png} -\end{subfigure}\\ + \caption{Total number of perfect detections at 5TPS} + \label{fig:perfect-detections-by-cube-5tps} + \includegraphics[width=\linewidth]{Figures/7 Evaluation/perfect_detections_by_cube_5tps.png} +\end{subfigure}\\\\ \end{figure} -\subsection{Influence of Standard Deviation Multiplier} - -\begin{figure}[h] - \centering - \caption{Effect of stdv multiplier on accuracy of detection by cube} - \label{fig:similarity-by-cube} - \includegraphics[width=0.75\linewidth]{Figures/7 Evaluation/similarity_by_cube.png} +Figure \ref{fig:perfect-detections-by-cube} shows the total number of +perfect move sequence decodings broken down by cube type and simulated +turn speed. As expected, there were far fewer perfect detections at the +higher simulated turn speed compared to the lower simulated turn speed, +with the loud QiYi even failing to register a single perfect detection +at the higher turn speed. However, it was the normal noise Gans XS, not +the quiet Gans 356 that achieved the most perfect detections. This is a +peculiar result since Figure \ref{fig:signal-to-noise-ratio} shows that +the Gans XS is louder across a wider frequency spectrum than the Gans +356. + +\subsection{Influence of the Standard Deviation Threshold} +\label{subsec:influence-stdv-threshold} + +The standard deviation threshold was one piece of the threshold +calculation used to filter out background noise (see Section +\ref{fig:threshold-refined}). Since frequency peaks tend to be +statistical outliers, higher thresholds were expected to filter out +more background noise, thus providing higher detection accuracy, so +long as the thresholds were not so high as to exclude the peaks +themselves. + +Figure \ref{fig:influence-stdv-threshold-perfect} shows the total number of +perfect move sequence decodings broken down by the standard deviation +threshold. Contrary to the expected results, this figure shows that lower thresholds were more likely to correspond to a perfect detection. + +Figure \ref{fig:influence-stdv-threshold} %TODO continue talking about this figure then move onto the next one followed by the next section. + +\begin{figure} + \caption{Influence of Standard Deviation Threshold on Accuracy} + \label{fig:influence-stdv-threshold} + \begin{subfigure}{\textwidth} + \centering + \caption{Perfect Detections by Standard Deviation Threshold} + \label{fig:influence-stdv-threshold-perfect} + \includegraphics[width=\linewidth]{Figures/7 Evaluation/perfect_detections_by_stdv.png} + \end{subfigure}\\\\ + \begin{subfigure}{\textwidth} + \centering + \caption{Average Accuracy by Standard Deviation Threshold at 2 TPS} + \label{fig:influence-stdv-threshold-average-2tps} + \includegraphics[width=\linewidth]{Figures/7 Evaluation/similarity_by_cube_2tps.png} + \end{subfigure}\\\\ + \begin{subfigure}{\textwidth} + \centering + \caption{Average Accuracy by Standard Deviation Threshold at 5 TPS} + \label{fig:influence-stdv-threshold-average-5tps} + \includegraphics[width=\linewidth]{Figures/7 Evaluation/similarity_by_cube_5tps.png} + \end{subfigure}\\\\ \end{figure} The 356 is the quietest cube which means its use does not add much @@ -163,21 +209,11 @@ with the low stdv multipliers. It is impressive that it continually performs better with higher multipliers, eventually reaching a higher level of accuracy than the 356. -\begin{figure}[h] - \centering - \caption{Average across 2 TPS} - \label{fig:similarity-by-cube-2tps} - \includegraphics[width=0.75\linewidth]{Figures/7 Evaluation/similarity_by_cube_2tps.png} -\end{figure} + Basically the same as the overall average, just higher numbers overall. -\begin{figure}[h] - \centering - \caption{Average across 5 TPS} - \label{fig:similarity-by-cube-5tps} - \includegraphics[width=0.75\linewidth]{Figures/7 Evaluation/similarity_by_cube_5tps.png} -\end{figure} + How is this for volatility? diff --git a/thesis/draft/Figures/7 Evaluation/perfect_detections_by_alt_min.png b/thesis/draft/Figures/7 Evaluation/perfect_detections_by_alt_min.png index 4247bf7eb4a96a3787758aae2b1e29c06e6c7586..3e8d86027b260999e9cf3417b91b4fcddab7513c 100644 GIT binary patch literal 36371 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