worked on poss 1 table FMMD, just the second
smaller fg one to do now.
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@ -255,7 +255,7 @@ the observability of the causes of failure are reduced.
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\begin{figure}[h]
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\centering
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\includegraphics[width=200pt]{/home/robin/projects/thesis/opamp_circuits_C_GARRETT/circuit1001.png}
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\includegraphics[width=200pt]{./circuit1001.png}
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% circuit1001.png: 420x300 pixel, 72dpi, 14.82x10.58 cm, bb=0 0 420 300
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\caption{Circuit 1}
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\label{fig:circuit1}
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@ -707,20 +707,20 @@ We represent the desired FMMD hierarchy in figure~\ref{fig:circuit2h}.
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TC1: $LP1$ LP1High & signal HIGH & & HIGH \\
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TC2: $LP1$ SKLPLow & signal LOW & & LOW \\
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TC3: $LP1$ LP1filterIncorrect & filtering incorrect & & FilterIncorrect \\
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TC4: $LP1$ LP1nosignal & no signal propogated & & NO\_SIGNAL \\ \hline
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TC4: $LP1$ LP1nosignal & no signal propagated & & NO\_SIGNAL \\ \hline
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TC5: $SKLP_1$ High & signal HIGH & & HIGH \\
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TC6: $SKLP_1$ Low & signal LOW & & LOW \\
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TC7: $SKLP_1$ filterIncorrect & filtering incorrect & & FilterIncorrect \\
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TC8: $SKLP_1$ nosignal & no signal propogated & & NO\_SIGNAL \\ \hline
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TC8: $SKLP_1$ nosignal & no signal propagated & & NO\_SIGNAL \\ \hline
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TC9: $SKLP_2$ High & signal HIGH & & HIGH \\
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TC10: $SKLP_2$ Low & signal LOW & & LOW \\
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TC11: $SKLP_2$ filterIncorrect & filtering incorrect & & FilterIncorrect \\
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TC12: $SKLP_2$ nosignal & no signal propogated & & NO\_SIGNAL \\ \hline
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TC12: $SKLP_2$ nosignal & no signal propagated & & NO\_SIGNAL \\ \hline
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\hline
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\hline
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@ -747,7 +747,7 @@ could be easily detected; the failure symptom $FilterIncorrect$ may be less obs
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\begin{figure}[h]
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\centering
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\includegraphics[width=200pt]{/home/robin/projects/thesis/opamp_circuits_C_GARRETT/circuit3003.png}
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\includegraphics[width=200pt]{./circuit3003.png}
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% circuit3003.png: 503x326 pixel, 72dpi, 17.74x11.50 cm, bb=0 0 503 326
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\caption{Circuit 3}
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\label{fig:circuit3}
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@ -847,12 +847,75 @@ The capactior and 180 degree inverting amplifier, form a {\fg}
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providing an amplified 225 degree phase shift, which we can call $PHS225AMP$.
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%
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We could also merge the $NIBUFF$ and $PHS45$
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{\dcs} into a {\fg} and the resulant derived component from this we could call a $BUFF45$,
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{\dcs} into a {\fg} and the resultant derived component from this we could call a $BUFF45$,
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and then with those three, form a $PHS135BUFFERED$
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functional group---with the remaining $PHS45$ and the $INVAMP$ (re-used from section~\ref{sec:invamp})in a second group $PHS225AMP$---
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and then merge $PHS135BUFFERED$ and $PHS225AMP$ in a final stage (see figure~\ref{fig:poss2finalbubba})
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\subsection{FMMD Analysis using one large functional group}
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\begin{table}[h+]
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\caption{Bubba Oscillator: Failure Mode Effects Analysis: One Large Functional Group} % title of Table
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\label{tbl:bubbalargefg}
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\begin{tabular}{|| l | l | c | c | l ||} \hline
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\textbf{Failure Scenario} & & \textbf{Bubba} & & \textbf{Symptom} \\
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& & \textbf{Oscillator} & & \\
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\hline
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FS1: $PHS45_1$ $90\_phaseshift$ & & osc frequency high & & $HI_{fosc}$ \\
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FS1: $PHS45_1$ $no\_signal$ & & signal lost & & $NO_{osc}$ \\
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FS1: $PHS45_1$ $0\_phaseshift$ & & osc frequency low & & $LO_{fosc}$ \\ \hline
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FS1: $NIBUFF_1$ $L_{up}$ & & output high No Oscillation & & $NO_{osc}$ \\
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FS1: $NIBUFF_1$ $L_{dn}$ & & output low No Oscillation & & $NO_{osc}$ \\
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FS1: $NIBUFF_1$ $N_{oop}$ & & output low No Oscillation & & $NO_{osc}$ \\
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FS1: $NIBUFF_1$ $L_{slew}$ & & signal lost & & $NO_{osc}$ \\ \hline
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FS1: $PHS45_2$ $90\_phaseshift$ & & osc frequency high & & $HI_{fosc}$ \\
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FS1: $PHS45_2$ $no\_signal$ & & signal lost & & $NO_{osc}$ \\
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FS1: $PHS45_2$ $0\_phaseshift$ & & osc frequency low & & $LO_{fosc}$ \\ \hline
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FS1: $NIBUFF_2$ $L_{up}$ & & output high No Oscillation & & $NO_{osc}$ \\
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FS1: $NIBUFF_2$ $L_{dn}$ & & output low No Oscillation & & $NO_{osc}$ \\
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FS1: $NIBUFF_2$ $N_{oop}$ & & output low No Oscillation & & $NO_{osc}$ \\
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FS1: $NIBUFF_2$ $L_{slew}$ & & signal lost & & $NO_{osc}$ \\ \hline
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FS1: $PHS45_3$ $90\_phaseshift$ & & osc frequency high & & $HI_{fosc}$ \\
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FS1: $PHS45_3$ $no\_signal$ & & signal lost & & $NO_{osc}$ \\
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FS1: $PHS45_3$ $0\_phaseshift$ & & osc frequency low & & $LO_{fosc}$ \\ \hline
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FS1: $NIBUFF_3$ $L_{up}$ & & output high No Oscillation & & $NO_{osc}$ \\
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FS1: $NIBUFF_3$ $L_{dn}$ & & output low No Oscillation & & $NO_{osc}$ \\
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FS1: $NIBUFF_3$ $N_{oop}$ & & output low No Oscillation & & $NO_{osc}$ \\
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FS1: $NIBUFF_3$ $L_{slew}$ & & signal lost & & $NO_{osc}$ \\ \hline
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FS1: $PHS45_4$ $90\_phaseshift$ & & osc frequency high & & $HI_{fosc}$ \\
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FS1: $PHS45_4$ $no\_signal$ & & signal lost & & $NO_{osc}$ \\
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FS1: $PHS45_4$ $0\_phaseshift$ & & osc frequency low & & $LO_{fosc}$ \\ \hline
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FS1: $INVAMP$ $OUTOFRANGE$ & & signal lost & & $NO_{osc}$ \\
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FS1: $INVAMP$ $ZEROOUTPUT$ & & signal lost & & $NO_{osc}$ \\
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FS1: $INVAMP$ $NOGAIN$ & & signal lost & & $NO_{osc}$ \\
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FS1: $INVAMP$ $LOWPASS$ & & signal lost & & $NO_{osc}$ \\ \hline
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% FS1: $CAP_{10nF}$ $OPEN$ & & osc frequency low & & $LO_{fosc}$ \\ \hline
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% FS1: $CAP_{10nF}$ $SHORT$ & & osc frequency low & & $LO_{fosc}$ \\ \hline
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\hline
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\end{tabular}
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\end{table}
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Collecting symptoms from table~\ref{tbl:bubbalargefg} we can show that for single failure modes, applying $fm$ to the bubba oscillator
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returns three failure modes,
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$$ fm(BubbaOscillator) = \{ NO_{osc}, HI_{fosc}, LO_{fosc} \} . $$
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\begin{figure}[h]
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\centering
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@ -864,17 +927,36 @@ and then merge $PHS135BUFFERED$ and $PHS225AMP$ in a final stage (see figure~\r
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\subsection{FMMD Analysis using smaller functional groups}
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\begin{table}[h+]
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\caption{Bubba Oscillator: Failure Mode Effects Analysis: Smaller Functional Groups, one more stage of hierarchy} % title of Table
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\label{tbl:bubbalargefg}
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\begin{tabular}{|| l | l | c | c | l ||} \hline
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\textbf{Failure Scenario} & & \textbf{Bubba} & & \textbf{Symptom} \\
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& & \textbf{Oscillator} & & \\
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\hline
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\hline
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\end{tabular}
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\end{table}
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\begin{figure}[h]
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\centering
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\includegraphics[width=300pt,keepaspectratio=true]{./poss2finalbubba.png}
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% largeosc.png: 916x390 pixel, 72dpi, 32.31x13.76 cm, bb=0 0 916 390
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\caption{Bubba Oscillator: One more FMMD hierarchy stage.}
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\caption{Bubba Oscillator: Smaller Functional Groups, One more FMMD hierarchy stage.}
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\label{fig:poss1finalbubba}
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\end{figure}
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NOW need to do both sets of working out.
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\subsection{Comparing both approaches}
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Large FG and less hierarchy, and more hierarchy and smaller fgs.
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More re-use-able fgs with smaller groups. Less chance of making a mistake (lower CC)
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\clearpage
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