First go at high-precision slides

presentations/WR_Javier_WRWS2017_high_precision/Makefile

+all : wr_workshop_2017_high_precision.pdf
+
+.PHONY : all clean
+
+wr_workshop_2017_high_precision.pdf : wr_workshop_2017_high_precision.tex
+	pdflatex $^
+	pdflatex $^
+
+clean :
+	rm -f *~ *.eps *.pdf *.dat *.log *.out *.aux *.dvi *.ps *.nav *.snm *.toc *.vrb
+

presentations/WR_Javier_WRWS2017_high_precision/wr_workshop_2017_high_precision.tex

+\documentclass[compress, red]{beamer}
+\mode<presentation>
+
+\usepackage{etex}
+\setbeamertemplate{navigation symbols}{}
+%\usepackage{pgfpages}
+%\usepackage{listings}
+
+\usetheme{Warsaw}
+
+% define your own colors:
+\definecolor{Red}{rgb}{1,0,0}
+\definecolor{Blue}{rgb}{0,0,1}
+\definecolor{Green}{rgb}{0,1,0}
+\definecolor{magenta}{rgb}{1,0,.6}
+\definecolor{lightblue}{rgb}{0,.5,1}
+\definecolor{lightpurple}{rgb}{.6,.4,1}
+\definecolor{gold}{rgb}{.6,.5,0}
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+\definecolor{newcolor3}{rgb}{1,0,.35}
+\definecolor{darkgreen1}{rgb}{0, .35, 0}
+\definecolor{darkgreen}{rgb}{0, .6, 0}
+\definecolor{darkred}{rgb}{.75,0,0}
+
+\xdefinecolor{olive}{cmyk}{0.64,0,0.95,0.4}
+\xdefinecolor{purpleish}{cmyk}{0.75,0.75,0,0}
+
+\useoutertheme[subsection=false]{smoothbars}
+
+% include packages
+\usepackage{subfigure}
+\usepackage{multicol}
+\usepackage{amsmath}
+\usepackage{epsfig}
+\usepackage{graphicx}
+\usepackage[all]{xy}
+%\xyoption{arc}
+\usepackage{url}
+\usepackage{multimedia}
+\usepackage{hyperref}
+\usepackage{helvet}
+\usepackage[english]{babel}
+\usepackage[utf8]{inputenc}
+\usepackage{changepage}
+\usepackage{textcomp}
+     
+\newcommand{\backupbegin}{
+   \newcounter{framenumberappendix}
+   \setcounter{framenumberappendix}{\value{framenumber}}
+}
+\newcommand{\backupend}{
+   \addtocounter{framenumberappendix}{-\value{framenumber}}
+   \addtocounter{framenumber}{\value{framenumberappendix}} 
+}
+
+\graphicspath{ {../../figures/} }
+
+\usepackage[font=small,skip=0pt]{caption}
+\captionsetup{labelformat=empty,labelsep=none}
+%\setlength{\abovecaptionskip}{5pt plus 3pt minus 2pt}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Title Page Info %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\title[High-precision T\&F distribution using
+WR\hspace{6em}\insertframenumber/\inserttotalframenumber]{High-precision
+  Time and Frequency Distribution using White Rabbit}
+\author{Javier Serrano}
+\institute{CERN BE-CO\\Hardware and Timing section}
+\date[7 October 2017]{ICALEPCS pre-conference workshop\\Barcelona, 7 October 2017}
+
+\AtBeginSection[]
+{
+  \begin{frame}<beamer>{Outline}
+    \tableofcontents[currentsection]
+  \end{frame}
+}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Begin Your Document %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{document}
+%\setbeamertemplate{caption}{\raggedright\insertcaption\par}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\frame{\titlepage}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}<beamer>{Outline}
+  \tableofcontents
+\end{frame}
+\section{Background on phase noise}
+\subsection{}
+
+\frame{\frametitle{The imperfect sine wave}
+\begin{block}{With both amplitude and phase noise}
+$ a(t)=A \left( 1+ \alpha (t) \right) \sin(\omega t +\varphi (t)) $
+\end{block}
+\begin{block}{If we use hard-limiters, AGCs, etc.}
+$ a(t)=A \sin \left( \omega \left( t + \frac{\varphi (t)}{\omega} \right) \right) $
+\end{block}
+}
+
+\frame{\frametitle{Phase noise Power Spectral Density (PSD)}
+\begin{block}{Parseval's theorem}
+$ \int_{- \infty}^{+ \infty} \left| \varphi (t) \right| ^2 dt = \int_{- \infty}^{+ \infty} \left| \Phi (f) \right| ^2 df $    
+\end{block}
+
+\begin{block}{Truncated signal}
+$ \Phi_T (f) = \int_{- T/2}^{+ T/2} \varphi_T (t) e^{-j 2 \pi f t} dt $
+\end{block}
+
+\begin{block}{Truncated Parseval}
+$ \frac{1}{T} \int_{- T/2}^{+ T/2} \left| \varphi_T (t) \right| ^2 dt = \int_{- \infty}^{+ \infty} \frac{\left| \Phi_T (f) \right| ^2}{T} df $
+\end{block}
+
+}
+
+\frame{\frametitle{Phase noise Power Spectral Density (PSD)}
+\begin{block}{Wiener-Khintchine theorem}
+$ S_{\varphi}^{II}(f) = \lim_{T\to\infty} \frac{1}{T} \left| \Phi_T(f) \right| ^2 $
+\end{block}
+
+\begin{block}{In practice}
+$ S_{\varphi}(f) \approx \frac{2}{T} \left< \left| \Phi_T(f) \right| ^2 \right>_m $
+\end{block}
+}
+
+\frame{\frametitle{Integrating PSD: jitter}
+\includegraphics[width=\textwidth]{misc/onesided_psd.pdf}
+}
+
+\section{Background on phase-locked loops}
+\subsection{}
+
+\frame{\frametitle{PLL block diagram}
+\includegraphics[width=\textwidth]{misc/pll_model.pdf}
+}
+
+\frame{\frametitle{PLL transfer functions}
+\begin{block}{Total output phase spectrum}
+$ \Phi_o(s) = H(s) \cdot \Phi_i(s) + E(s) \cdot \Phi_n(s) $
+\end{block}
+
+\begin{block}{System transfer function (low pass)}
+$ H(s) = \frac{K_{VCO} K_d F(s)}{s + K_{VCO} K_d F(s)} $
+\end{block}
+
+\begin{block}{Error transfer function (high pass)}
+$ E(s) = 1 - H(s) = \frac{s}{s + K_{VCO} K_d F(s)} $
+\end{block}
+}
+
+\frame{\frametitle{Jitter optimization}
+\includegraphics[height=0.7\textwidth]{misc/pll_psd.pdf}
+}
+
+\section{Performance}
+\subsection{}
+\begin{frame}{WR time transfer performance: basic test setup}
+
+    \begin{center}
+    \includegraphics[height=7.0cm]{measurements/meas_setup.pdf}
+    \end{center}
+
+\end{frame}
+
+\begin{frame}{WR time transfer performance: test results}
+
+    \begin{center}
+    \includegraphics[height=6.0cm]{measurements/meas_results2.pdf}
+    \end{center}
+
+\end{frame}
+
+\begin{frame}{WR Switch: low jitter daughterboard}
+  \begin{columns}
+    \column{.35\textwidth}
+    \includegraphics[width=.8\textheight, angle=90]{measurements/WRSlowJitter/rsz_3d_image__1_.jpg}
+    \column{.65\textwidth}
+    \begin{itemize}
+      \item Current release of WRS in GM mode has suboptimal performance on both jitter (9ps RMS 1Hz-100kHz) and ADEV (1.4E-11 $\tau$=1s ENBW 50Hz)
+      \item A daughterboard was designed, produced and tested to improve the performance
+      \item Modified WRS improves performance on both jitter ($<$2ps RMS 10Hz-100kHz) and ADEV ($<$5E-13 $\tau$=1s ENBW 50Hz) in GM mode
+    \end{itemize}
+  \end{columns}
+\end{frame}
+
+\begin{frame}{Daughterboard Test Setup}
+  \begin{center}
+    \includegraphics[width=\textwidth]{measurements/WRSlowJitter/rsz_experimental_setup.png}
+  \end{center}
+\end{frame}
+
+\begin{frame}{Test Results in GM mode: PM noise}
+  \begin{center}
+    \includegraphics[height=.85\textheight]{measurements/WRSlowJitter/pn.png}
+  \end{center}
+\end{frame}
+
+\begin{frame}{Test Results in GM mode: Modified ADEV}
+  \begin{center}
+    \includegraphics[height=.85\textheight]{measurements/WRSlowJitter/mdev.png}
+  \end{center}
+\end{frame}
+
+\begin{frame}{Test Results in Slave mode: PM noise}
+  \begin{center}
+    \includegraphics[height=.85\textheight]{measurements/WRSlowJitter/slave_pn.png}
+  \end{center}
+\end{frame}
+
+\begin{frame}{Test Results in Slave mode: Modified ADEV}
+  \begin{center}
+    \includegraphics[height=.85\textheight]{measurements/WRSlowJitter/slave_mdev.png}
+  \end{center}
+\end{frame}
+
+\begin{frame}{Need more information?}
+  \begin{center}
+    \includegraphics[height=4.0cm]{misc/white_rabbit_end.png}
+  \end{center}
+  
+  \begin{center}
+    See \url{https://www.ohwr.org/attachments/2939/timing.pdf} and \url{https://www.ohwr.org/projects/wr-low-jitter/wiki}
+  \end{center}  
+\end{frame}
+
+\end{document}