diff --git a/writing/sp4comm.multipub/120-quantization/90-qt-examples.tex b/writing/sp4comm.multipub/120-quantization/90-qt-examples.tex
index 3443c5e..f3be8e9 100644
--- a/writing/sp4comm.multipub/120-quantization/90-qt-examples.tex
+++ b/writing/sp4comm.multipub/120-quantization/90-qt-examples.tex
@@ -1,31 +1,58 @@
\section{Odds and Ends}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{example}[Implementation of AD and DA Converters]\label{ex:qt:physAD}
-Analog-to-digital conversion is a process that lives at the interface between the physical world of electrical signals and the abstract world of numeric processing; it is carried out by specialized hardware that first samples the input signal's instantaneous value and then encode this value into a binary representation suitable for use on a general-purpose processors.
-
-\itempar{The Op-Amp.} The fundamental component at the heart of an ADC is the operational amplifier, or \textit{op-amp}, whose symbolic representation is shown in Figure~\ref{fig:qt:opamp}. An op-amp, powered by a balanced power supply $(-V_s, V_s)$, is a differential amplifier whose output voltage is proportional to the difference between the voltages at the two inputs:
+Analog-to-digital conversion is a process that lives at the interface between the physical world of electrical signals and the abstract world of numeric processing; it is carried out by specialized hardware devices that first measure the input signal's instantaneous value and then encode this value into a binary representation suitable for use on a general-purpose processors. Although a full description of the electronic circuitry used in ADCs and DACs is beyond the scope of this book, in this section we will examine the fundamental principles at work in these devices.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\def\putbox#1#2#3{\makebox[0in][l]{\makebox[#1][l]{}\raisebox{\baselineskip}[0in][0in]{\raisebox{#2}[0in][0in]{#3}}}}
+\def\rightbox#1{\makebox[0in][r]{#1}}
+\def\centbox#1{\makebox[0in]{#1}}
+\def\topbox#1{\raisebox{-\baselineskip}[0in][0in]{#1}}
+\def\midbox#1{\raisebox{-0.5\baselineskip}[0in][0in]{#1}}
+
+\begin{figure}[t]
+ \includegraphics[height=20mm]{\localpath{figs/opamp.ps}}
+% \epsfig{file=opamp.eps}\\
+ \putbox{-24mm}{18mm}{$v_p$}%
+ \putbox{-24mm}{5mm}{$v_n$}%
+ \putbox{35mm}{11.5mm}{$v_o$}%
+ \putbox{8mm}{-4mm}{$+V_{cc}$}%
+ \putbox{8mm}{27mm}{$-V_{cc}$}%
+\end{figure}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+\itempar{The Op-Amp.} The fundamental component at the heart of an ADC is the operational amplifier, or \textit{op-amp}, whose symbolic representation is shown in Figure~\ref{fig:qt:opamp}. An op-amp, powered by a balanced power supply $(-V_{cc}, +V_{cc})$, is a differential amplifier whose output voltage is proportional to the difference between the voltages at the two inputs:
\[
- V_0 = G(V_+ - V_-).
+ v_0 = G(v_+ - v_-).
\]
The ideal op-amp has the following characteristics:
\begin{itemize}
- \item the input and output impedance are infinite;
- \item the gain is infinite.
+ \item the input and output impedance are infinite; as a consequence, op-amp inputs draw no current which is ideal if we need to measure a voltage source without affecting its value.
+ \item the gain is infinite, which means the op-amp will saturate to $\pm V_{cc}$ as soon as the voltage difference between the inputs is nonzero.
\end{itemize}
-As a consequence of the first
+These properties are exploited in two of the classic configurations for the device, shown in Figure~\ref{fig:qt:comp_follower}:
+\begin{enumerate}
+ \item to build a \textit{comparator} the op-amp is used in open-loop, with the inverting input connected to a reference voltage $V_T$; if the non-inverting input is connected to a voltage larger than $V_T$, then the output will saturate to the maximum possible voltage $V_{cc}$ whereas if $v_+ < V_T$, the output will drop to $-V{cc}$.
+ \item to build a \textit{voltage buffer}, the op-amp is used in closed loop, with the output fed back to the non-inverting input; if a source at $v$ Volts is now applied to the inverting input, the output will instantly adjust to $v_o = v$. To understand why, assume by contradiction that $v_o > v$; since $v_o = v$ via the feedback, $v_+ - v_- < 0$ and the infinite gain would immediately drive the output down. Similarly, if it were $v_o < v$, the output would be immediately driven up, and so that the only stability point is $v_o = v$. The buffer function of the configuration derives its name from the infinite input impedance, which ensures that no current is drawn from the source applied to $v_+$; the load connected to the output will be driven at a voltage $v$ solely by the op-amp.
+\end{enumerate}
+
+These two properties are put to use in the sampling circuit shown in Figure~\ref{fig:qt:sampler}.
+
\end{example}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Further Reading}
Quantization is a key topic both in analog-to-digital conversion and in signal compression, but an often overlooked topic in standard texts. The book by A.\ Gersho and R.\ M.\ Gray, \textit{Vector Quantization and Signal Compression\/} (Springer, 1991) provides a good discussion of the subject. An excellent overview of quantization is given in R.\ M.\ Gray and D.\ L.\ Neuhof's article ``Quantization'', in \textit{IEEE Transactions on Information Theory\/} (October 1998).
+
\ No newline at end of file
diff --git a/writing/sp4comm.multipub/120-quantization/figs/opamp.ps b/writing/sp4comm.multipub/120-quantization/figs/opamp.ps
new file mode 100644
index 0000000..bde2d8b
--- /dev/null
+++ b/writing/sp4comm.multipub/120-quantization/figs/opamp.ps
@@ -0,0 +1,203 @@
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diff --git a/writing/sp4comm.multipub/sp4comm.tex b/writing/sp4comm.multipub/sp4comm.tex
index efd189f..39444fb 100644
--- a/writing/sp4comm.multipub/sp4comm.tex
+++ b/writing/sp4comm.multipub/sp4comm.tex
@@ -1,180 +1,185 @@
%% Test book for multipub
%%
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% include multipub package and declare desired format (PRINT | EPUB | KINDLE)
% (note: cannot use package and option formalism because it breaks LateXML)
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\multipub{PRINT}
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% packages included here must be common to all versions, i.e. they need
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\usepackage{url}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\setcounter{secnumdepth}{3}
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%% OUPUT SELECTOR
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\newif\ifanswers
%% choose one
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%\exercisesfalse\answerstrue % only solutions
\exercisestrue\answerstrue % both
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\begin{document}
\title{Test Book for PDF and EPUB}
\author{Paolo Prandoni}
\date{}
\maketitle
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\tableofcontents
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\mainmatter
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%\includefile{20-signals}{90-dt-examples}
%\includefile{20-signals}{99-dt-exercises}
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%
%
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%
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\includefile{120-quantization}{10-qt-quant}
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+\includefile{120-quantization}{90-qt-examples}
+%\includefile{90-sampling}{99-is-exercises}
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%
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