diff --git a/thesis/draft/Chapters/Chapter4-Protocol-Design.tex b/thesis/draft/Chapters/Chapter4-Protocol-Design.tex index 58a29e5..112779a 100644 --- a/thesis/draft/Chapters/Chapter4-Protocol-Design.tex +++ b/thesis/draft/Chapters/Chapter4-Protocol-Design.tex @@ -273,8 +273,8 @@ The second tone would come from one of two separately predefined audio bands, on From this, an audio processing model could be designed to process a sequence of these two-tone pairs and reconstruct the sequence of face rotations by recording the rotated face followed by its direction of rotation. However, while this model minimizes the number of discrete frequencies required to communicate changes in the cube's state, it carries many challenges. -Consider the example of a speedcuber averaging 5 turns per second (TPS) with bursts up to 10 TPS (common for a speedcuber that averages 12-15 seconds per solution). -The burst TPS would require the successful transmission of 20 sequential tones within a single second - only 50ms per tone, all in the midst of additional noise from the cube's pieces hitting each other harder at the higher turn speed. +Consider the example of a speedcuber averaging 5-8 turns per second (TPS) with bursts up to 20 TPS (common for a speedcuber that averages under 15 seconds per solution). +The burst TPS would require the successful transmission of 40 sequential tones within a single second - only 25ms per tone, all in the midst of additional noise from the cube's pieces hitting each other harder at the higher turn speed. Adding to the difficulty, since each tone is only ever transmitted once, the audio detection model must achieve 100\% tone recognition to be able to accurately reconstruct the originating move sequence. As a result, this model fails to support any sort of error correction that would make it resistant to the common challenges to data transmission through sound. diff --git a/thesis/draft/Chapters/Chapter6-PCB-Design.tex b/thesis/draft/Chapters/Chapter6-PCB-Design.tex index 885ce5a..83c23e0 100644 --- a/thesis/draft/Chapters/Chapter6-PCB-Design.tex +++ b/thesis/draft/Chapters/Chapter6-PCB-Design.tex @@ -11,6 +11,8 @@ This chapter will detail a proof-of-concept design for a printed circuit board ( This chapter assumes that the reader has a knowledge of basic circuit components like resistors and capacitors. +TODO add section references (once the rest of the chapter is complete) + \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 of output audio that the transmitter can produce (Section \ref{subsec:transmitter-signal-to-noise-ratio}). @@ -47,6 +49,7 @@ As such, the chosen transmitter design can encode centerpiece states with any fr \subsection{Responsiveness to Face Turns} \label{subsec:responsiveness-to-face-turns} The chosen transmitter design must respond to an applied face turn by changing the currently transmitted audio frequency to the frequency corresponding to the new centerpiece state. +Since top speedcubers can reach a burst turn speed of 20 TPS (see Section \ref{sec:alternatives}), this means this frequency change must complete within 50ms. \subsection{Signal-to-Noise Ratio} \label{subsec:transmitter-signal-to-noise-ratio} @@ -97,10 +100,10 @@ The switch will be connected to the cube so that a 90$^\circ$ rotation will chan \end{figure} Alternatively, it is mathematically valid to instead switch between four different capacitors of different capacitance. -However, for the reasons described in Section \ref{subsubsec:freq_selection}, opting to switch between resistors proved more practical. +However, for the reasons described in Section \ref{subsubsec:freq-selection}, opting to switch between resistors proved more practical. \subsubsection{Choosing the values of \code{R} and \code{C}} -\label{subsubsec:freq_selection} +\label{subsubsec:freq-selection} There are infinitely many combinations of \code{R} and \code{C} that will produce any single desired output frequency \code{f}; however, the set of resistances and capacitances of commonly produced resistors and capacitors is finite. While multiple components can be combined to produce more specific resistances and capacitances, doing so would increase the overall component count for a circuit board that is constrained to a small physical size. 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