From 11cdb4f50d66e71358959d941946005f2ab740f1 Mon Sep 17 00:00:00 2001
From: Robin Clark <robin48gx@gmail.com>
Date: Fri, 20 Jan 2012 21:12:25 +0000
Subject: [PATCH] worked on poss 1 table FMMD, just the second smaller fg one
 to do now.

---
 .../opamp_circuits_C_GARRETT/opamps.tex       |  98 ++++++++++++++++--
 .../poss1finalbubba.dia                       | Bin 2267 -> 2299 bytes
 .../poss2finalbubba.dia                       | Bin 3546 -> 3572 bytes
 3 files changed, 90 insertions(+), 8 deletions(-)

diff --git a/old_thesis/opamp_circuits_C_GARRETT/opamps.tex b/old_thesis/opamp_circuits_C_GARRETT/opamps.tex
index d663c87..a93bf05 100644
--- a/old_thesis/opamp_circuits_C_GARRETT/opamps.tex
+++ b/old_thesis/opamp_circuits_C_GARRETT/opamps.tex
@@ -255,7 +255,7 @@ the observability of the causes of failure are reduced.
 
 \begin{figure}[h]
  \centering
- \includegraphics[width=200pt]{/home/robin/projects/thesis/opamp_circuits_C_GARRETT/circuit1001.png}
+ \includegraphics[width=200pt]{./circuit1001.png}
  % circuit1001.png: 420x300 pixel, 72dpi, 14.82x10.58 cm, bb=0 0 420 300
  \caption{Circuit 1}
  \label{fig:circuit1}
@@ -707,20 +707,20 @@ We represent the desired FMMD hierarchy in figure~\ref{fig:circuit2h}.
  TC1: $LP1$ LP1High         &      signal HIGH                  &       &   HIGH \\ 
  TC2: $LP1$ SKLPLow         &      signal LOW                   &      &   LOW \\  
  TC3: $LP1$ LP1filterIncorrect &    filtering incorrect            &         &  FilterIncorrect       \\   
- TC4: $LP1$  LP1nosignal  &      no signal propogated             &      &   NO\_SIGNAL      \\ \hline
+ TC4: $LP1$  LP1nosignal  &      no signal propagated             &      &   NO\_SIGNAL      \\ \hline
 
 
 
  TC5: $SKLP_1$ High            &   signal HIGH             &      &   HIGH                  \\  
  TC6: $SKLP_1$ Low             &   signal LOW                   &      &    LOW                  \\   
  TC7:  $SKLP_1$ filterIncorrect      &   filtering incorrect              &      &    FilterIncorrect                  \\ 
- TC8:  $SKLP_1$ nosignal       &  no signal propogated              &      &    NO\_SIGNAL                  \\  \hline
+ TC8:  $SKLP_1$ nosignal       &  no signal propagated              &      &    NO\_SIGNAL                  \\  \hline
 
  
  TC9: $SKLP_2$ High            &     signal HIGH                 &      &  HIGH                  \\  
  TC10: $SKLP_2$ Low           &       signal LOW               &      &     LOW               \\  
  TC11:  $SKLP_2$ filterIncorrect            &  filtering incorrect           &      &    FilterIncorrect                 \\ 
- TC12:  $SKLP_2$ nosignal           &    no signal propogated          &      &     NO\_SIGNAL                  \\  \hline
+ TC12:  $SKLP_2$ nosignal           &    no signal propagated          &      &     NO\_SIGNAL                  \\  \hline
 
                            \hline 
 \hline
@@ -747,7 +747,7 @@ could be easily detected; the failure symptom $FilterIncorrect$  may be less obs
 
  \begin{figure}[h]
  \centering
- \includegraphics[width=200pt]{/home/robin/projects/thesis/opamp_circuits_C_GARRETT/circuit3003.png}
+ \includegraphics[width=200pt]{./circuit3003.png}
  % circuit3003.png: 503x326 pixel, 72dpi, 17.74x11.50 cm, bb=0 0 503 326 
 \caption{Circuit 3}
  \label{fig:circuit3}
@@ -847,12 +847,75 @@ The capactior and 180 degree inverting amplifier, form a {\fg}
 providing an amplified 225 degree phase shift, which we can call $PHS225AMP$.
 %
 We could also merge the $NIBUFF$ and $PHS45$
-{\dcs} into a {\fg} and the resulant derived component from this we could call a $BUFF45$, 
+{\dcs} into a {\fg} and the resultant derived component from this we could call a $BUFF45$, 
 and then with those three, form a $PHS135BUFFERED$ 
 functional group---with the remaining $PHS45$ and the $INVAMP$ (re-used from section~\ref{sec:invamp})in a second group $PHS225AMP$---
 and then merge $PHS135BUFFERED$ and  $PHS225AMP$ in a final stage (see figure~\ref{fig:poss2finalbubba})
 
 
+\subsection{FMMD Analysis using one large functional group}
+
+\begin{table}[h+]
+\caption{Bubba Oscillator: Failure Mode Effects Analysis: One Large Functional Group} % title of Table
+\label{tbl:bubbalargefg}
+
+\begin{tabular}{|| l | l | c | c | l ||} \hline
+ \textbf{Failure Scenario} & &  \textbf{Bubba}        &   & \textbf{Symptom}          \\ 
+                           & &  \textbf{Oscillator}    &   &                           \\
+               \hline
+
+
+     FS1: $PHS45_1$  $90\_phaseshift$        &  &  osc frequency high               &  &   $HI_{fosc}$          \\  
+     FS1: $PHS45_1$  $no\_signal$            &  &  signal lost                      &  &   $NO_{osc}$          \\  
+     FS1: $PHS45_1$  $0\_phaseshift$         &  &  osc frequency low                &  &   $LO_{fosc}$          \\  \hline 
+
+     FS1: $NIBUFF_1$  $L_{up}$      &  &  output high No Oscillation &  &    $NO_{osc}$           \\  
+     FS1: $NIBUFF_1$  $L_{dn}$      &  &  output low No Oscillation  &  &     $NO_{osc}$              \\       
+     FS1: $NIBUFF_1$  $N_{oop}$     &  &  output low No Oscillation  &  &     $NO_{osc}$                \\  
+     FS1: $NIBUFF_1$  $L_{slew}$    &  &  signal lost                &  &   $NO_{osc}$          \\  \hline 
+
+     FS1: $PHS45_2$  $90\_phaseshift$        &  &  osc frequency high               &  &   $HI_{fosc}$          \\  
+     FS1: $PHS45_2$  $no\_signal$            &  &  signal lost                      &  &   $NO_{osc}$          \\  
+     FS1: $PHS45_2$  $0\_phaseshift$         &  &  osc frequency low                &  &   $LO_{fosc}$          \\  \hline 
+
+
+     FS1: $NIBUFF_2$  $L_{up}$      &  &  output high No Oscillation &  &    $NO_{osc}$           \\  
+     FS1: $NIBUFF_2$  $L_{dn}$      &  &  output low No Oscillation  &  &     $NO_{osc}$              \\       
+     FS1: $NIBUFF_2$  $N_{oop}$     &  &  output low No Oscillation  &  &     $NO_{osc}$                \\  
+     FS1: $NIBUFF_2$  $L_{slew}$    &  &  signal lost                &  &   $NO_{osc}$          \\  \hline 
+
+    FS1: $PHS45_3$  $90\_phaseshift$        &  &  osc frequency high               &  &   $HI_{fosc}$          \\  
+     FS1: $PHS45_3$  $no\_signal$            &  &  signal lost                      &  &   $NO_{osc}$          \\  
+     FS1: $PHS45_3$  $0\_phaseshift$         &  &  osc frequency low                &  &   $LO_{fosc}$          \\  \hline 
+
+     FS1: $NIBUFF_3$  $L_{up}$      &  &  output high No Oscillation &  &    $NO_{osc}$           \\  
+     FS1: $NIBUFF_3$  $L_{dn}$      &  &  output low No Oscillation  &  &     $NO_{osc}$              \\       
+     FS1: $NIBUFF_3$  $N_{oop}$     &  &  output low No Oscillation  &  &     $NO_{osc}$                \\  
+     FS1: $NIBUFF_3$  $L_{slew}$    &  &  signal lost                &  &   $NO_{osc}$          \\  \hline 
+
+    FS1: $PHS45_4$  $90\_phaseshift$        &  &  osc frequency high               &  &   $HI_{fosc}$          \\  
+     FS1: $PHS45_4$  $no\_signal$            &  &  signal lost                      &  &   $NO_{osc}$          \\  
+     FS1: $PHS45_4$  $0\_phaseshift$         &  &  osc frequency low                &  &   $LO_{fosc}$          \\  \hline 
+
+     FS1: $INVAMP$  $OUTOFRANGE$             &  &  signal lost                      &  &   $NO_{osc}$          \\  
+    FS1: $INVAMP$  $ZEROOUTPUT$             &  &  signal lost                      &  &   $NO_{osc}$          \\  
+    FS1: $INVAMP$  $NOGAIN$             &  &  signal lost                      &  &   $NO_{osc}$          \\  
+    FS1: $INVAMP$  $LOWPASS$             &  &  signal lost                      &  &   $NO_{osc}$          \\  \hline 
+  
+
+ % FS1: $CAP_{10nF}$  $OPEN$          &  &  osc frequency low                &  &   $LO_{fosc}$          \\  \hline 
+ % FS1: $CAP_{10nF}$  $SHORT$         &  &  osc frequency low                &  &   $LO_{fosc}$          \\  \hline 
+\hline
+
+\end{tabular}
+\end{table}  
+
+
+Collecting symptoms from table~\ref{tbl:bubbalargefg} we can show that for single failure modes, applying $fm$ to the bubba oscillator 
+returns three failure modes,
+
+$$ fm(BubbaOscillator) = \{ NO_{osc}, HI_{fosc}, LO_{fosc} \} . $$
+
 
 \begin{figure}[h]
  \centering
@@ -864,17 +927,36 @@ and then merge $PHS135BUFFERED$ and  $PHS225AMP$ in a final stage (see figure~\r
 
 
 
+\subsection{FMMD Analysis using smaller functional groups}
 
+\begin{table}[h+]
+\caption{Bubba Oscillator: Failure Mode Effects Analysis: Smaller Functional Groups, one more stage of hierarchy} % title of Table
+\label{tbl:bubbalargefg}
+
+\begin{tabular}{|| l | l | c | c | l ||} \hline
+ \textbf{Failure Scenario} & &  \textbf{Bubba}         &   & \textbf{Symptom}          \\ 
+                           & &  \textbf{Oscillator}    &   &                           \\
+               \hline
+   
+\hline
+
+\end{tabular}
+\end{table} 
 \begin{figure}[h]
  \centering
  \includegraphics[width=300pt,keepaspectratio=true]{./poss2finalbubba.png}
  % largeosc.png: 916x390 pixel, 72dpi, 32.31x13.76 cm, bb=0 0 916 390
- \caption{Bubba Oscillator: One more FMMD hierarchy stage.}
+ \caption{Bubba Oscillator: Smaller Functional Groups, One more FMMD hierarchy stage.}
  \label{fig:poss1finalbubba}
 \end{figure}
 
 
-NOW need to do both sets of working out.
+\subsection{Comparing both approaches}
+
+Large FG and less hierarchy, and more hierarchy and smaller fgs.
+
+More re-use-able fgs with smaller groups. Less chance of making a mistake (lower CC)
+
 
 
 \clearpage
diff --git a/old_thesis/opamp_circuits_C_GARRETT/poss1finalbubba.dia b/old_thesis/opamp_circuits_C_GARRETT/poss1finalbubba.dia
index f9d888a0602905977f93a5eaf12e24f8c802c20b..6576d542d21af68caf2ec9cbba8ec6620667431e 100644
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diff --git a/old_thesis/opamp_circuits_C_GARRETT/poss2finalbubba.dia b/old_thesis/opamp_circuits_C_GARRETT/poss2finalbubba.dia
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