Fixing refs plus JMC Proof read
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@ -45,7 +45,7 @@ is examined,
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where re-use is appropriate in the first stage and
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where re-use is appropriate in the first stage and
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not in the second.
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not in the second.
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\item Section~\ref{sec:fivepolelp} analyses a Sallen-Key based five pole low pass filter.
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\item Section~\ref{sec:fivepolelp} analyses a Sallen-Key based five pole low pass filter.
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It demonstrates re-use the first Sallen-Key analysis, %encountered as a {\dc}
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It demonstrates re-use of the first Sallen-Key analysis, %encountered as a {\dc}
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increasing test efficiency. This example also serves to show a deep hierarchy of {\dcs}.
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increasing test efficiency. This example also serves to show a deep hierarchy of {\dcs}.
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\item Section~\ref{sec:bubba} shows FMMD applied to a
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\item Section~\ref{sec:bubba} shows FMMD applied to a
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loop topology---using a `Bubba' oscillator---demonstrating how FMMD differs from fault diagnosis techniques.
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loop topology---using a `Bubba' oscillator---demonstrating how FMMD differs from fault diagnosis techniques.
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@ -943,8 +943,8 @@ For the unconstrained case, we have to consider all three components as one larg
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The circuit in figure~\ref{fig:circuit1} amplifies the difference between
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The circuit in figure~\ref{fig:circuit1} amplifies the difference between
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the input voltages $+V1$ and $+V2$.
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the input voltages $+V1$ and $+V2$.
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The circuit is configured so that both inputs use the non-inverting,
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The circuit is configured so that both inputs use the non-inverting (high impedance inputs)
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and thus high impedance inputs, meaning that they will not
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ensuring that they will not
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electrically load the previous stage.
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electrically load the previous stage.
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%over-load and/or unduly influence
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%over-load and/or unduly influence
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%the sensors or circuitry supplying the voltage signals used for measurement.
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%the sensors or circuitry supplying the voltage signals used for measurement.
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@ -1305,12 +1305,12 @@ However, from a failure mode perspective we can analyse it in a very similar way
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to a potential divider (see section~\ref{subsec:potdiv}).
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to a potential divider (see section~\ref{subsec:potdiv}).
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Capacitors generally fail OPEN but some types fail OPEN and SHORT.
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Capacitors generally fail OPEN but some types fail OPEN and SHORT.
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We will consider the worst case two failure mode model for this analysis.
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We will consider the worst case two failure mode model for this analysis.
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We analyse the first order low pass filter in table~\ref{tbl:firstorderlp}.\\
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We analyse the first order low pass filter in table~\ref{tbl:firstorderlpass}.\\
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\begin{table}[h+]
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\begin{table}[h+]
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\caption{FirstOrderLP: Failure Mode Effects Analysis: Single Faults} % title of Table
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\caption{FirstOrderLP: Failure Mode Effects Analysis: Single Faults} % title of Table
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\label{tbl:firstorderlp}
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\label{tbl:firstorderlpass}
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\begin{tabular}{|| l | c | l ||} \hline
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\begin{tabular}{|| l | c | l ||} \hline
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%\textbf{Failure Scenario} & & \textbf{First Order} & & \textbf{Symptom} \\
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%\textbf{Failure Scenario} & & \textbf{First Order} & & \textbf{Symptom} \\
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@ -1533,7 +1533,7 @@ We now can create a {\dc} to represent the circuit in figure~\ref{fig:circuit2},
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$FivePoleLP$ and applying the $fm$ function to it (see table~\ref{tbl:fivepole}) yields $fm(FivePoleLP) = \{ HIGH, LOW, FilterIncorrect, NO\_SIGNAL \}$.
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$FivePoleLP$ and applying the $fm$ function to it (see table~\ref{tbl:fivepole}) yields $fm(FivePoleLP) = \{ HIGH, LOW, FilterIncorrect, NO\_SIGNAL \}$.
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\pagebreak[4]
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%\pagebreak[4]
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The failure modes for the low pass filters are very similar, and the propagation of the signal
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The failure modes for the low pass filters are very similar, and the propagation of the signal
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is simple (as it is never inverted). The circuit under analysis is -- as shown in the block diagram (see figure~\ref{fig:blockdiagramcircuit2}) --
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is simple (as it is never inverted). The circuit under analysis is -- as shown in the block diagram (see figure~\ref{fig:blockdiagramcircuit2}) --
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@ -1546,6 +1546,8 @@ This example shows the analysis of a linear signal path circuit with three easil
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{\fgs} and re-use of the Sallen-Key {\dc}.
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{\fgs} and re-use of the Sallen-Key {\dc}.
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\clearpage
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\clearpage
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\section{Quad Op-Amp Oscillator}
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\section{Quad Op-Amp Oscillator}
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\label{sec:bubba}
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\label{sec:bubba}
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@ -1830,7 +1832,7 @@ there are more {\dcs} and therefore increases the potential for re-use of pre-an
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% HTR The more we can modularise, the more we decimate the $O(N^2)$ effect
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% HTR The more we can modularise, the more we decimate the $O(N^2)$ effect
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% HTR of complexity comparison.
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% HTR of complexity comparison.
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%
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%
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\subsection{conclusion}
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\subsection{Conclusion}
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With FMMD there is always a choice for the membership of {\fgs}.
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With FMMD there is always a choice for the membership of {\fgs}.
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This example has shown that the simple approach, identifying
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This example has shown that the simple approach, identifying
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initial {\fgs} and using them to build a large {\fg} to model the circuit
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initial {\fgs} and using them to build a large {\fg} to model the circuit
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@ -1897,7 +1899,7 @@ and fed to the D type flip flop.
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%
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%
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%
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%
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The output of the flip flop is routed to the digital output and to the feedback loop.
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The output of the flip flop is routed to the digital output and to the feedback loop.
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It must be level converted before being fed to the analogue feedback.
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It must be level converted, i.e. from digital logic voltage levels to analogue levels, before being fed to the analogue feedback.
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It is level converted to an analogue signal by IC3.
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It is level converted to an analogue signal by IC3.
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(i.e. a digital 0 becomes a -ve voltage and a digital 1 becomes a +ve voltage)
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(i.e. a digital 0 becomes a -ve voltage and a digital 1 becomes a +ve voltage)
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and fed into the summing integrator completing the negative feedback loop.
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and fed into the summing integrator completing the negative feedback loop.
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@ -1954,7 +1956,7 @@ This can be our first {\fg} and we analyse it in table~\ref{tbl:sumjint}.
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%
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%
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$$FG = \{R1, R2, IC1, C1 \}$$
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$$FG = \{R1, R2, IC1, C1 \}$$
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That is the failure modes (see FMMD analysis at ~\ref{detal:SUMJINT})of our new {\dc}
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That is the failure modes (see FMMD analysis at~\ref{detail:SUMJINT})of our new {\dc}
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$SUMJINT$ are $$\{ V_{in} DOM, V_{fb} DOM, NO\_INTEGRATION, HIGH, LOW \} .$$
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$SUMJINT$ are $$\{ V_{in} DOM, V_{fb} DOM, NO\_INTEGRATION, HIGH, LOW \} .$$
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\clearpage
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\clearpage
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@ -2004,7 +2006,7 @@ We now form a {\fg} from $PD $ and $IC3$.
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%
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%
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$$ FG = \{ PD , IC3 \} $$
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$$ FG = \{ PD , IC3 \} $$
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%
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%
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We now analyse this {\fg} (see section~\ref{detail:DS2AS}).
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We now analyse this {\fg} (see section~\ref{detail:DL2AL}).
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$$ fm (DL2AL) = \{ LOW, HIGH, LOW\_{SLEW} \} $$
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$$ fm (DL2AL) = \{ LOW, HIGH, LOW\_{SLEW} \} $$
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@ -326,7 +326,7 @@ $SUMJINT$ we obtain $$\{ V_{in} DOM, V_{fb} DOM, NO\_INTEGRATION, HIGH, LOW \
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\begin{table}[h+]
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\begin{table}[h+]
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\center
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\center
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\caption{$PD , IC3$ Digital level to analogue level converter: Failure Mode Effects Analysis} % title of Table
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\caption{$PD , IC3$ Digital level to analogue level converter: Failure Mode Effects Analysis} % title of Table
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\label{tbl:DS2AS}
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\label{tbl:DL2AL}
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\begin{tabular}{|| l | l | c | c | l ||} \hline
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\begin{tabular}{|| l | l | c | c | l ||} \hline
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%\textbf{Failure Scenario} & & \textbf{failure result } & & \textbf{Symptom} \\
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%\textbf{Failure Scenario} & & \textbf{failure result } & & \textbf{Symptom} \\
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