diff --git a/submission_thesis/CH5_Examples/Makefile b/submission_thesis/CH5_Examples/Makefile index 9c17cc5..2e44bc8 100644 --- a/submission_thesis/CH5_Examples/Makefile +++ b/submission_thesis/CH5_Examples/Makefile @@ -4,7 +4,7 @@ PNG_DIA = blockdiagramcircuit2.png bubba_oscillator_block_diagram.png circuit1 dubsim1.png invamp.png mvampcircuit.png pd.png plddouble.png plddoublesymptom.png \ poss1finalbubba.png poss2finalbubba.png pt100.png pt100_doublef.png pt100_singlef.png \ pt100_tc.png pt100_tc_sp.png shared_component.png stat_single.png three_tree.png \ - tree_abstraction_levels.png vrange.png + tree_abstraction_levels.png vrange.png sigma_delta_block.png diff --git a/submission_thesis/CH5_Examples/copy.tex b/submission_thesis/CH5_Examples/copy.tex index 4c7cc6d..cba70dc 100644 --- a/submission_thesis/CH5_Examples/copy.tex +++ b/submission_thesis/CH5_Examples/copy.tex @@ -1660,6 +1660,94 @@ The following example shows the analysis of a mixed analogue and digital circuit + +\begin{figure}[h] + \centering + \includegraphics[width=200pt,keepaspectratio=true]{./CH5_Examples/sigma_delta_block.png} + % sigma_delta_block.png: 828x367 pixel, 72dpi, 29.21x12.95 cm, bb=0 0 828 367 + \caption{Sigma Delta ADC signal path} + \label{fig:sigmadeltablock} +\end{figure} + + +\paragraph{How the circuit works.} +The diagram in~\ref{fig:sigmadeltablock} shows the signal path used +by this configuration for a $\Sigma \Delta $ADC. +% +It works by placing the analogue voltage to be read into +a mixed analogue and digital feedback circuit. +% +A summing junction and integrator is used to compare the negative feedback +signal with the input. +% +The output of the integrator is digitally cleaned-up by IC2 (i.e. output is TRUE or FALSE for digital logic) +which acts as a comparator, and fed to the D type flip flop. +% +The output of the flip flop is a digital representation +of the input voltage. +% +The output of the flip flop, is now cleaned as an analogue signal +(i.e. a digital 0 becomes a -ve voltage and a digital 1 becomes a +ve voltage) +and fed into the summing integrator completing the negative feedback loop. +% ] +% into +% +% A summing integrator +% adds the voltage input to the feedback signal. +% The digital circuitry tries to +% apply a voltage to the integrator that will +% produce a zero output... doh this is difficult to describe. +% % +% The input voltage is summed with the feedback from the circuit +% and is fed into a comparator (IC2) that will output a plus or minus. +% This is fed into the input (D) of a DQ flip flop. +% This digitally buffers the output from the comparator. +% The output from the from the DQ flkip flop is a digital representation +% of the input voltage. +% The output from the DQ is sent to the digital comparator formed by R3,R4 +% and IC3. +% The output from this is sent to the summing integrator as the signal summed with the input. + +\subsection{Identifying initial {\fgs}} + +\subsubsection{Summing Junction formed by R1 and R2} + +The resistors R1, R2 form a summing junction +to the negative input of IC1. +Using the earlier definition for resistor failure modes, +$fm(R)= \{OPEN, SHORT\}$, we analyse the summing junction +in table~\ref{tbl:sumjunct} below. + +\begin{table}[h+] +\caption{Summing Junction: Failure Mode Effects Analysis: Single Faults} % title of Table +\label{tbl:sumjunct} + +\begin{tabular}{|| l | l | c | c | l ||} \hline + \textbf{Failure Scenario} & & \textbf{Summing} & & \textbf{Symptom} \\ + & & \textbf{Junction} & & \\ + \hline + FS1: R1 SHORT & & R1 input dominates & & $R1\_IN\_DOM$ \\ \hline + FS2: R1 OPEN & & R2 input dominates & & $R2\_IN\_DOM$ \\ \hline + FS3: R2 SHORT & & R2 input dominates & & $R2\_IN\_DOM$ \\ \hline + FS4: R2 OPEN & & R1 input dominates & & $R1\_IN\_DOM$ \\ \hline + +\hline + +\end{tabular} +\end{table} +% PHS45 + +This summing junction fails with two symptoms. We create a {\dc} called $SUMJUNCT$ and we can state, +$$fm(SUMJUNCT) = \{ R1\_IN\_DOM, R2\_IN\_DOM \} $$. + + + +%\subsection{FMMD Process applied to $\Sigma \Delta $ADC}. + +T%he block diagram in figure~\ref{fig + + +\clearpage \section{PT100 Analysis: Double failures and MTTF statistics} { This section diff --git a/submission_thesis/CH5_Examples/sigma_delta_block.dia b/submission_thesis/CH5_Examples/sigma_delta_block.dia new file mode 100644 index 0000000..e9b5116 Binary files /dev/null and b/submission_thesis/CH5_Examples/sigma_delta_block.dia differ