Finish off the oscillator example soon for C garett.

opamp_circuits_C_GARRETT/Makefile

@@ -1,6 +1,6 @@
 
 
-PNG_DIA = circuit1_dag.png mvampcircuit.png pd.png invamp.png shared_component.png tree_abstraction_levels.png three_tree.png blockdiagramcircuit2.png circuit2h.png bubba_oscillator_block_diagram.png dubsim1.png
+PNG_DIA = circuit1_dag.png mvampcircuit.png pd.png invamp.png shared_component.png tree_abstraction_levels.png three_tree.png blockdiagramcircuit2.png circuit2h.png bubba_oscillator_block_diagram.png dubsim1.png poss1finalbubba.png poss2finalbubba.png 
 
 
 

opamp_circuits_C_GARRETT/opamps.tex

@@ -840,11 +840,42 @@ $$ fm(NIBUFF) = fm(OPAMP) = \{L\_{up}, L\_{dn}, Noop, L\_slew \} $$
 
 \subsection{Bringing the functional Groups Together: The `Bubba' Oscillator.}
 
-We could at this point bring all the {\dcs} together into one large functional group (see figure~\ref{fig:poss1finalbubba})
-or we could try to merge smaller stages. We could merge the $NIBUFF$ and $PHS45$
-{\dcs}, and then with those three, form a $PHS135BUFFERED$ functional group -- with the remaining $PHS45$ and the $INVAMP$ in a second group $PHS225AMP$,
+We could at this point bring all the {\dcs} together into one large functional 
+group (see figure~\ref{fig:poss1finalbubba})
+or we could try to merge smaller stages.
+
+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 $BUFF45$, and then with those three, form a $PHS135BUFFERED$ functional group -- with the remaining $PHS45$ and the $INVAMP$ in a second group $PHS225AMP$,
 and then merge $PHS135BUFFERED$ and  $PHS225AMP$ in a final stage (see figure~\ref{fig:poss2finalbubba})
 
+
+
+\begin{figure}[h]
+ \centering
+ \includegraphics[width=300pt,keepaspectratio=true]{./poss1finalbubba.png}
+ % largeosc.png: 916x390 pixel, 72dpi, 32.31x13.76 cm, bb=0 0 916 390
+ \caption{Bubba Oscillator: One final large functional group.}
+ \label{fig:poss1finalbubba}
+\end{figure}
+
+
+
+
+\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.}
+ \label{fig:poss1finalbubba}
+\end{figure}
+
+
+NOW need to do both sets of working out.
+
+
 \clearpage
 \section{Basic Concepts Of FMMD}