From b08e084dbb7339f1e4550320784dcf8b825b1850 Mon Sep 17 00:00:00 2001 From: Joseph Hale Date: Tue, 11 Jan 2022 00:09:24 +0000 Subject: [PATCH] Complete Chapter 6 Draft It's finally done! I'm sure there will be revisions but there's finally a complete draft of the most frustrating part of this thesis project :D --- thesis/draft/main.pdf | 9608 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tones each time a centerpiece changes state. This chapter will detail a proof-of-concept design for a printed -circuit board (PCB) containing only nine discrete components capable of -generating all the tones required for encoding one centerpiece's state. +circuit board (PCB) capable of generating all the tones required for +encoding one centerpiece's state. This chapter assumes that the reader has a knowledge of basic circuit -components like resistors and capacitors. It begins with a -discussion of the requirements/constraints for the physical transmitter -(Section \ref{sec:transmitter-requirements}) and an experiment -analyzing the effects of various sound obstructions on signal strength -(Section \ref{sec:minimizing-sound-obstruction}). From there a formal -design schematic for the transmitter will be presented (Section +components like resistors and capacitors. It begins with a discussion +of the requirements/constraints for the physical transmitter (Section +\ref{sec:transmitter-requirements}). From there a formal design +schematic for the transmitter will be presented (Section \ref{sec:transmitter-design}) and prototyped (Sections -\ref{sec:prototype} and \ref{sec:miniaturization}) +\ref{sec:prototype}) followed by an analysis of the effects of the +centercap enclosure on signal strength (Section +\ref{sec:minimizing-sound-obstruction}). Finally, all the required +components for the transmitter will be laid out inside a single +speedcube centercap to demonstrate the viability of the presented +design (Section \ref{sec:miniaturization}). \section{Requirements} \label{sec:transmitter-requirements} This section will detail the constraints within which the transmitter -will be required to operate. These constraints include the physical -size of the transmitter (Section -\ref{subsec:prospects-of-miniaturization}), the precision of tone -generation (Section \ref{subsec:precision-of-tone-generation}), the -reliability of the transmitter in changing tones to reflect a face turn -(Section \ref{subsec:responsiveness-to-face-turns}), and the intensity +will be required to operate. These constraints include the precision of +tone generation (Section \ref{subsec:precision-of-tone-generation}), +the reliability of the transmitter in changing tones to reflect a face +turn (Section \ref{subsec:responsiveness-to-face-turns}), the intensity of output audio that the transmitter can produce (Section -\ref{subsec:transmitter-signal-to-noise-ratio}). - -\subsection{Prospects of Miniaturization} -\label{subsec:prospects-of-miniaturization} - -The transmitter must be both removable and small enough to fit in the -center cap of each face of a speedcube. This requirement stems from two -sources. First, in contrast to all existing smartcubes, most -non-smartcubes have small, solid cores (Figure -\ref{fig:356-core-closed}) that provide no extra space for the -inclusion of any electronics, but do have a small amount of open space -within their center cubies (Figure \ref{fig:356-core-open}). Second, -the use of a cube with non-removable, embedded electronics violates the -WCA competition regulation 2i \cite{wca-regulations} (See also Section -\ref{subsec:competition-regulations}). - -\begin{figure}[h] - \centering - \caption{Internal pieces of a standard speedcube (Gans 356)} - \label{fig:356-core} - \begin{subfigure}{.45\textwidth} - \centering - \caption{View of the small, solid plastic core} - \label{fig:356-core-closed} - \includegraphics[width=\linewidth]{Figures/6 PCB Design/356_core_cropped.jpg} - \end{subfigure} - \begin{subfigure}{.45\textwidth} - \centering - \caption{View of the space inside the centerpiece} - \label{fig:356-core-open} - \includegraphics[width=\linewidth]{Figures/6 PCB Design/356_core_open_cropped.jpg} - \end{subfigure} -\end{figure} +\ref{subsec:transmitter-signal-to-noise-ratio}), and the physical size +of the transmitter (Section \ref{subsec:prospects-of-miniaturization}). \subsection{Precision of Tone Generation} \label{subsec:precision-of-tone-generation} @@ -103,32 +73,47 @@ require the transmitter design to consider how to overcome any audio dampening caused by such an enclosure. +\subsection{Prospects of Miniaturization} +\label{subsec:prospects-of-miniaturization} -\section{Minimizing Sound Obstruction} -\label{sec:minimizing-sound-obstruction} +The transmitter must be both removable and small enough to fit in the +center cap of each face of a speedcube. This requirement stems from two +sources. First, in contrast to all existing smartcubes, most +non-smartcubes have small, solid cores (Figure +\ref{fig:356-core-closed}) that provide no extra space for the +inclusion of any electronics, but do have a small amount of open space +within their center cubies (Figure \ref{fig:356-core-open}). Second, +the use of a cube with non-removable, embedded electronics violates the +WCA competition regulation 2i \cite{wca-regulations} (See also Section +\ref{subsec:competition-regulations}). -Section \ref{subsubsec:key-observations-from-the-spectrogram} talks -about the noise levels from various speedcubes. Constrast with the -noise levels produced here to show validity. +\begin{figure}[h] + \centering + \caption{Internal pieces of a standard speedcube (Gans 356)} + \label{fig:356-core} + \begin{subfigure}{.45\textwidth} + \centering + \caption{View of the small, solid plastic core} + \label{fig:356-core-closed} + \includegraphics[width=\linewidth]{Figures/6 PCB Design/356_core_cropped.jpg} + \end{subfigure} + \begin{subfigure}{.45\textwidth} + \centering + \caption{View of the space inside the centerpiece} + \label{fig:356-core-open} + \includegraphics[width=\linewidth]{Figures/6 PCB Design/356_core_open_cropped.jpg} + \end{subfigure} +\end{figure} -TODO Discuss the "tupperware" tests -> design of various center caps. -Voluptate labore quis aliqua laboris nulla reprehenderit ea incididunt -fugiat. Tempor ea ipsum in quis incididunt quis dolor pariatur ad -cillum irure ad aliquip aliqua. Mollit proident officia id excepteur. - -Ut officia sit et consectetur reprehenderit nostrud consectetur. Nulla -culpa magna consequat elit excepteur. Nisi nisi ipsum reprehenderit -nisi commodo sit pariatur labore cupidatat cillum ullamco ut mollit. -Nostrud ipsum anim commodo ipsum sunt id consequat. Ex ut ullamco ea -exercitation est ad commodo est. - +\newpage \section{Design} \label{sec:transmitter-design} Given the above constrains, this section will detail a design for a printed circuit board capable of precisely generating four distinct -tones. +tones (Requirements \ref{subsec:precision-of-tone-generation} and +\ref{subsec:responsiveness-to-face-turns}) \subsection{The 555 Timer} \label{sec:the-555-timer} @@ -257,16 +242,18 @@ \centering \caption{Output Frequencies of Common \code{R} and \code{C} Values} \label{fig:freq-selection-r} - \includegraphics[width=0.8\linewidth]{Figures/6 PCB Design/freq_selection_r.png} + \includegraphics[width=0.75\linewidth]{Figures/6 PCB Design/freq_selection_r.png} \end{figure} \section{Prototyping} \label{sec:prototype} -The key step to produce a proof-of-concept is to put everything -together on a breadboard and turn on the power while recording the -output audio to make sure four distinct tones are produced. +The key step to produce a proof-of-concept for Requirements +\ref{subsec:precision-of-tone-generation} and +\ref{subsec:responsiveness-to-face-turns} is to put everything together +on a breadboard and turn on the power while recording the output audio +to make sure four distinct tones are produced. This step begins by gathering all the components from the schematic in Figure \ref{fig:555_astable_modded} with the specific values of @@ -283,7 +270,7 @@ moving the green wire (representing the rotary switch) through each of the four resistors on the breadboard in the right section of the figure. -\begin{figure}[h] +\begin{figure} \centering \caption{Breadboard Prototype} \label{fig:breadboard} @@ -291,13 +278,68 @@ \end{figure} +\section{Minimizing Sound Obstruction} +\label{sec:minimizing-sound-obstruction} + +\begin{figure} + \centering + \caption{Effects of Various Sound Obstructions on Signal Intensity} + \label{fig:obstruction} + \includegraphics[width=\linewidth]{Figures/6 PCB Design/obstruction_intensity.png} +\end{figure} + +In preparation for miniaturizing the prototype circuit from Section +\ref{sec:prototype} to fit inside a speedcube's centercap, an +experiment was performed to measure the effects of various physical +barriers on the signal-to-noise ratio of a small speaker against +background noise created by solving a Gans 356 speedcube (Requirement +\ref{subsec:transmitter-signal-to-noise-ratio}). + +Specifically, three different types of obstructions were placed between +a speaker similar to the type that would fit inside a speedcube +centercap and a phone microphone: no obstruction, a piece of masking +tape over the speaker (representative of a sticker on a speedcube), and +a full plastic enclosure of the same thickness as a speedcube +centercap. For each of these obstructions, the source speaker emitted +eight different tones across the human audible spectrum and the average +intensity of the signal was measured with the microphone at 10cm +increments up to a full meter away from the speaker. + +Figure \ref{fig:obstruction} shows the resulting signal strength for +each obstruction type (the top three yellow lines) compared with the +background noise caused by solving a Gans 356 speedcube (the bottom +gray line). As expected, the signal strength tapered off for all three +obstruction types as the microphone moved farther away from the signal, +and larger obstructions reduced the signal strength more than smaller +obstructions. + +Of most interest are the signal intensities between 10cm and 30cm from +the microphone since that's the typical distance between a speedcuber's +cube and his/her smartphone or laptop while practicing at home. By the +far end of that range, only the completely unobstructed speaker's +signal stayed above the -30dB limit discussed in Section +\ref{subsubsec:key-observations-from-the-spectrogram}. As such, it is +clear that successfully miniaturizing the prototype circuit to fit +inside of a centercap will also require a custom centercap design with +space for sound to exit unobstructed. + +As a tangential note, the fact that the unobstructed speaker's signal +strength drops to nearly -40dB at only 100cm away from the speaker +means that the cube's moves cannot be reliably tracked while the cube +is at a distance from the receiving microphone. This property may prove +beneficial for competitive environments as a potential path towards +allowing automated move tracking during competitive solves without +incurring the risks of competitors using smart cubes as a way to spy on +the scrambling process for an unfair advantage. + + \section{Miniaturization} \label{sec:miniaturization} -To further prove the validity of the proof-of-concept finalized in -Section \ref{sec:prototype}, this section will demonstrate that all the -required components can fit within the limited 16mm$^2$ of space inside -a single center cap of a Gans 356 Speedcube. +Finally, to address Requirement +\ref{subsec:prospects-of-miniaturization}, this section will +demonstrate that all the required components can fit within the limited +16mm$^2$ of space inside a single center cap of a Gans 356 Speedcube. Meeting this size constraint is best achieved by swapping out the large through-hole resistors, capacitors, and 555 timer used in the prototype @@ -305,7 +347,15 @@ black buzzer can be swapped out for a much thinner piezo buzzer that can lay on flat on top of a custom-designed replacement centercap. Finally, the DC power supply can be changed out for a button-cell -battery oriented vertically. An example of the final result could look like Figure \ref{fig:core-placement}. +battery oriented vertically. + +An example of the final result could look like Figure +\ref{fig:core-placement}. Notice that all required components easily +fit inside of a custom designed center cap that fits perfectly into a +Gans 356 speedcube without inhibiting the cube's freedom of rotation. +Also notice the large hole in the center of the custom centercap +visible in Figure \ref{fig:core-circuit} that provides an unobstructed +path for the speaker's signal to exit the center cap. \begin{figure}[h] \centering @@ -334,4 +384,15 @@ \section{Summary} -TODO Write this summary +In summary, this chapter demonstrated a proof of concept for a PCB +capable of transmitting the current state of a Rubik's Cube via sound +to the receiver described in Chapter \ref{Chapter5}. This +proof-of-concept circuit works by using specific capacitors and +resistors to produce a precise voltage frequency from a 555 timer that +can be output into the audible spectrum by connecting a speaker. In +addition to showing a working circuit on a breadboard, this chapter +also described the results of an experiment showing the need for an +unobstructed path between the transmitter and the receiver. Finally, +this chapter showed how all the required components for the transmitter +could reasonably fit inside a single centercap of a speedcube like the +Gans 356. diff --git a/thesis/draft/Figures/6 PCB Design/obstruction_intensity.png b/thesis/draft/Figures/6 PCB Design/obstruction_intensity.png new file mode 100644 --- /dev/null +++ b/thesis/draft/Figures/6 PCB Design/obstruction_intensity.png -- tangled.sh