From ddb3f62857434e46d969affa9750d18ecbd963e3 Mon Sep 17 00:00:00 2001 From: Jan Michel Date: Mon, 28 Jan 2019 16:40:19 +0100 Subject: [PATCH] add CBM Note on MVD rates --- notes/2019-mvdrates-CBM-TN/cbm_note.tex | 51 ++ notes/2019-mvdrates-CBM-TN/cbm_notes.cls | 477 ++++++++++++++++++ notes/2019-mvdrates-CBM-TN/cbm_tn.kilepr | 37 ++ notes/2019-mvdrates-CBM-TN/cbmlogo.jpg | Bin 0 -> 28537 bytes notes/2019-mvdrates-CBM-TN/fairlogo.pdf | Bin 0 -> 24963 bytes .../figures/AuAu10Tr100new.png | Bin 0 -> 19886 bytes .../figures/AuAu10Tr50new.png | Bin 0 -> 17598 bytes .../figures/AuAu10Vx100new.png | Bin 0 -> 20332 bytes .../figures/AuAu10Vx50new.png | Bin 0 -> 17554 bytes .../figures/AuAu4Tr50new.png | Bin 0 -> 16201 bytes .../figures/AuAu4Vx50new.png | Bin 0 -> 16172 bytes ...VD_separated_full_station_acceptance_2.jpg | Bin 0 -> 511122 bytes .../figures/pAu25Tr100new.png | Bin 0 -> 37346 bytes .../figures/pAu25Vx100new.png | Bin 0 -> 37653 bytes notes/2019-mvdrates-CBM-TN/mvdrates.tex | 391 ++++++++++++++ 15 files changed, 956 insertions(+) create mode 100644 notes/2019-mvdrates-CBM-TN/cbm_note.tex create mode 100644 notes/2019-mvdrates-CBM-TN/cbm_notes.cls create mode 100644 notes/2019-mvdrates-CBM-TN/cbm_tn.kilepr create mode 100644 notes/2019-mvdrates-CBM-TN/cbmlogo.jpg create mode 100644 notes/2019-mvdrates-CBM-TN/fairlogo.pdf create mode 100644 notes/2019-mvdrates-CBM-TN/figures/AuAu10Tr100new.png create mode 100644 notes/2019-mvdrates-CBM-TN/figures/AuAu10Tr50new.png create mode 100644 notes/2019-mvdrates-CBM-TN/figures/AuAu10Vx100new.png create mode 100644 notes/2019-mvdrates-CBM-TN/figures/AuAu10Vx50new.png create mode 100644 notes/2019-mvdrates-CBM-TN/figures/AuAu4Tr50new.png create mode 100644 notes/2019-mvdrates-CBM-TN/figures/AuAu4Vx50new.png create mode 100644 notes/2019-mvdrates-CBM-TN/figures/MVD_separated_full_station_acceptance_2.jpg create mode 100644 notes/2019-mvdrates-CBM-TN/figures/pAu25Tr100new.png create mode 100644 notes/2019-mvdrates-CBM-TN/figures/pAu25Vx100new.png create mode 100644 notes/2019-mvdrates-CBM-TN/mvdrates.tex diff --git a/notes/2019-mvdrates-CBM-TN/cbm_note.tex b/notes/2019-mvdrates-CBM-TN/cbm_note.tex new file mode 100644 index 0000000..e199323 --- /dev/null +++ b/notes/2019-mvdrates-CBM-TN/cbm_note.tex @@ -0,0 +1,51 @@ +\documentclass[CBM,manyauthors]{cbm_notes} +\newcommand{\slfrac}[2]{\left.#1\right/#2} +\usepackage{rotating} +% +\usepackage[english]{babel} +\usepackage{amsmath} +\usepackage{multirow} +\usepackage{upgreek} +% \setlength{marginparwidth}{2cm} +% \usepackage[textsize=tiny]{todonotes} + +%%% Insert here the note number +\newcommand\NOTENUMBER{1900X} + +\begin{document}% + +%%%%%%%%%%%%%%% Title page %%%%%%%%%%%%%%%%%%%%%%%% +\begin{titlepage} +% +% +% Replace "TN" by "CN" or "PN" if appropriate. +\PHnumber{CBM-TN-\NOTENUMBER} +\PHdate{\today} +% +%%% Put your own title + short title here: +\title{MVD: Hit Rates, Link Bandwidth and Interaction Rates} +\ShortTitle{MVD: Hit Rates, Bandwidth and Interaction Rates} % appears on right page headers +% +\author{Qiyan Li$^{1}$, Jan Michel$^{1}$} +\author{ +1. Institute for Nuclear Physics, Goethe-University Frankfurt, Germany\\ +} +\author{Email: michel@physik.uni-frankfurt.de} +% +%% Appears on left page headers. Replace "Technical" by "Computing" or "Physics" if appropriate. +\ShortAuthor{CBM Technical Note \NOTENUMBER} +% +\begin{abstract} +This note was driven by the question on how many links, i.e. GBTx chips are required to run the MVD at different +setup scenarios. We present the related detector and station configurations and estimate the load based on MC +simulations for 2 benchmark physics cases Au+Au and p+Au at SIS-100 energies. In the end we comment on possible +modifications to improve the maximum possible interaction rate, or lower the dissipated heat in the system. + +\end{abstract} + +\end{titlepage} +% + +\input{mvdrates.tex} %%%%%%%%%%% put the body of the article here + +\end{document} diff --git a/notes/2019-mvdrates-CBM-TN/cbm_notes.cls b/notes/2019-mvdrates-CBM-TN/cbm_notes.cls new file mode 100644 index 0000000..eec4bcb --- /dev/null +++ b/notes/2019-mvdrates-CBM-TN/cbm_notes.cls @@ -0,0 +1,477 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Name: cbm_notes.cls % +% % +% Purpose: Set LaTeX parameters For preprint/Notes % +% % +% Rewrite of CERN preprint class For CBM/FAIR % +% % +% % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\def\fileversion{1.06} +\def\filedate{8 July 2010} +\def\docdate{8 July 2010} +\typeout{Document Style 'cbm_notes'. Version <\fileversion>, <\filedate>} +% -------------------------------- identification --------------------------- +\NeedsTeXFormat{LaTeX2e} +\ProvidesClass{cbm_notes}[2018/03/10] +% --------------------------- declaration of options -- +% Define experiment logo for first page +\providecommand*\EXPLOGO{nonelogo} +\providecommand*\FAIREXP{no} +\providecommand*\COLLABORATION{unnamed} +\providecommand*\MANYAUTHORS{no} +\providecommand*\CLEARPAGE{no} +\DeclareOption{nocleardouble}{\renewcommand\CLEARPAGE{yes}} +\DeclareOption{manyauthors}{\renewcommand\MANYAUTHORS{yes}} +\DeclareOption{CBM}{\renewcommand{\EXPLOGO}{cbmlogo}% + \renewcommand\FAIREXP{yes}\renewcommand\COLLABORATION{CBM}} +\DeclareOption{FAIR}{\renewcommand{\EXPLOGO}{fairlogo}} + +\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}} +\ProcessOptions +% \LoadClass[11pt,a4paper,twoside]{article} +\LoadClass[11pt,a4paper]{article} +\renewcommand{\rmdefault}{ptm} +\usepackage{mathptmx} + +\RequirePackage{graphicx,amsmath,amssymb,array,tabularx,url,xspace,subfigure} +\RequirePackage{ifthen} + +\typeout{Document Class "cbm_notes" 1.00 (10. February 2018)} + +%% Defince collaboration is it cannot be inferred from option + +\providecommand\DEFCOL[1]{\renewcommand\COLLABORATION{#1}} + +%%% Customization of visible document elements + +\renewcommand\thesection {\@arabic\c@section} +\renewcommand\thesubsection {\thesection.\@arabic\c@subsection} +\renewcommand\thesubsubsection{\thesubsection.\@arabic\c@subsubsection} +%\renewcommand\theparagraph{\thesubsubsection.\@arabic\c@paragraph} +\renewcommand\baselinestretch{1.} +\renewcommand{\contentsname}{Contents} +\renewcommand{\listfigurename}{List of Figures} +\renewcommand{\listtablename}{List of Tables} +\renewcommand{\refname}{References} +\renewcommand{\indexname}{Index} +\renewcommand{\figurename}{Fig.} +\renewcommand{\tablename}{Table} +\renewcommand{\partname}{Part} +\renewcommand{\appendixname}{Appendix} +\renewcommand{\abstractname}{Abstract} + +% Short and long pages + +\newcommand{\longpage}[1][1]{\enlargethispage{#1\baselineskip}} +\newcommand{\shortpage}[1][1]{\enlargethispage{-#1\baselineskip}} + +% **************************************** +% * Lists * +% **************************************** +% +% Zero the vertical spacing parameters +\def\Nospacing{\itemsep=2pt\topsep=0pt\partopsep=0pt\parskip=0pt\parsep=0pt} +% Redefine the environments in terms of the original values +\newenvironment{Itemize}{\vspace*{-1mm}\itemize\Nospacing}% + {\endlist\vspace*{-1mm}} +\newenvironment{Enumerate}{\vspace*{-1mm}\enumerate\Nospacing} + {\endlist\vspace*{-1mm}} +\newenvironment{Description}{\vspace*{-1mm}\description\Nospacing} + {\endlist\vspace*{-1mm}} +\renewcommand\labelitemi{\normalfont\textendash} +\renewcommand\labelitemii{\normalfont\textendash} +\renewcommand\labelitemiii{\textasteriskcentered} +\renewcommand\labelitemiv{\textperiodcentered} + +% **************************************** +% * PAGE LAYOUT * +% **************************************** +% +% All margin dimensions measured from a point one inch from top and side +% of page. + +% SIDE MARGINS: + +\textheight 24cm % Height of text (including footnotes and figures, + % excluding running head and foot). +\textwidth 16cm % Width of text line. +\topmargin -28pt % offset of top header from voffset (1 inch) +\headheight 13.6pt + +% SIDE MARGINS: %%%% A4 : pagewidth=160mm +\if@twoside % Values for two-sided printing: + %%% margins : inner = 30 mm = 86 pt + %%% outer = 20 mm = 56 pt + %%% \odd/evensidemargin are with respect to hoffset --> + \oddsidemargin 14pt % Left margin on odd-numbered pages. + \evensidemargin -14pt % Left margin on even-numbered pages. +\else % Values for one-sided printing: + \oddsidemargin 0pt % Note that \oddsidemargin = \evensidemargin + \evensidemargin 0pt +\fi + +%%% Captions + +\setlength\abovecaptionskip{4pt plus 2pt minus 2pt} % default is for caption at bottom. + % use topcapt.sty: \topcaption for cap at top +\setlength\belowcaptionskip{4pt plus 2pt minus 2pt} +\long\def\@makecaption#1#2{% + \vskip\abovecaptionskip + \sbox\@tempboxa{{\small\textbf{#1:} #2}}% + \ifdim \wd\@tempboxa >\hsize + {\small\textbf{#1:} #2}\par + \else + \global \@minipagefalse + \hbox to\hsize{\hfil\box\@tempboxa\hfil}% + \fi + \vskip\belowcaptionskip} + +%%% make footnote robust (if it appears in argument of, e.g., \section) +\let\oldfootnote\footnote +\def\footnote{\protect\oldfootnote} +\RequirePackage{ifthen} + +%%% Set up headings for section commands %%%%%%%%%%%%%%%%%%%%%% + +\renewcommand\section{\@startsection +{section}% +{1}% +{\z@}% +{-2.5ex \@plus -1ex \@minus -.2ex}% Was: {-3.5ex \@plus -1ex \@minus -.2ex}% +{0.3ex \@plus.2ex}% Was: {2.3ex \@plus.2ex} +{\large\bfseries\mathversion{bold}}}% Was: \normalfont ... + +\renewcommand\subsection{\@startsection +{subsection}% +{2}% +{\z@}% +{-1.0ex\@plus -1ex \@minus -.2ex}% Was: {-3.25ex\@plus -1ex \@minus -.2ex}% +{0.05ex \@plus .2ex}% Was: {1.5ex \@plus .2ex}% +{\normalsize\bfseries\mathversion{bold}}}% Was: \normalfont ... + +\renewcommand\subsubsection{\@startsection +{subsubsection}% +{3}% +{\z@}% +{-1.0ex\@plus -1ex \@minus -.2ex}% Was: {-3.25ex\@plus -1ex \@minus -.2ex} +{0.05ex \@plus .2ex}% Was: {1.5ex \@plus .2ex}% +{\normalsize\itshape\bfseries\mathversion{bold}}}% Was: \normalfont ... + +\renewcommand\paragraph{\@startsection +{paragraph}% +{4}% +{\z@}% +{-1.0ex\@plus -1ex \@minus -.2ex}% Was: {3.25ex \@plus1ex \@minus.2ex}% Was: +{-1em}% Was: If negative, means in-line. Space is then the indentation. +{\normalsize\bfseries\mathversion{bold}}}% Was: \normalfont ... + +\renewcommand\subparagraph{\@startsection +{subparagraph}% +{5}% +{\parindent}% +{-1.0ex\@plus -1ex \@minus -.2ex}% +{-1em}% +{\normalsize\itshape\bfseries\mathversion{bold}}}% Was: \normalfont ... + +% +% **************************************** +% * Appendix bookkeeping * +% **************************************** +% + +\renewcommand\appendix{\par + \setcounter{section}{0}% + \setcounter{subsection}{0}% + \setcounter{figure}{0}% + \setcounter{table}{0}% + \setcounter{equation}{0}% + \gdef\thesection{\@Alph\c@section}% + \gdef\thesubsection{\@Alph\c@section.\@arabic\c@subsection} + \gdef\theequation{\@Alph\c@section.\@arabic\c@equation} + \@addtoreset {equation}{section}% + \gdef\thetable{\@Alph\c@section.\@arabic\c@table}% + \@addtoreset {table}{section}% + \gdef\thefigure{\@Alph\c@section.\@arabic\c@figure}% + \@addtoreset {figure}{section}% +} + +% +% ************************************ +% * thebibliography environement * +% ************************************ +% + +\setlength\bibindent{1.5em} +\renewenvironment{thebibliography}[1] + {\section*{\refname}% + \list{\@biblabel{\@arabic\c@enumiv}}% + {\settowidth\labelwidth{\@biblabel{#1}}% + \leftmargin\labelwidth + \advance\leftmargin\labelsep + \@openbib@code + \usecounter{enumiv}% + \let\p@enumiv\@empty + \renewcommand\theenumiv{\@arabic\c@enumiv}}% + \Nospacing + \sloppy + \clubpenalty4000 + \@clubpenalty \clubpenalty + \widowpenalty4000% + \sfcode`\.\@m} + {\def\@noitemerr + {\@latex@warning{Empty `thebibliography' environment}}% + \endlist} +\renewcommand\newblock{\hskip .11em\@plus.33em\@minus.07em} +\let\@openbib@code\@empty + +%%%%%%%%%%%%%%%%%%%%%%%%%%%% title page %%%%%%%%%%%%%%%%%%%%%%%%%5 +\def\maketitle{% Dummy maketitle + \typeout{Dummy maketitle --- Use titlepage instead}} +% Definition of environment "titlepage" 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Each runs at 320 MBit/s and can transport 100 +words for one frame of 5~$\upmu$s. This gives us the following hit rate limits: +\begin{description} + \item [2 links:] 55 hits/frame + \item [4 links:] 190 hits/frame + \item [8 links:] 460 hits/frame +\end{description} + + +\section{Simulation Results} +\begin{table} +\setlength{\tabcolsep}{-0.25pt} + \begin{center} +\begin{tabularx}{\textwidth}{lXX} + \textbf{\#} & \multicolumn{1}{c}{\textbf{Vertexing}} & \multicolumn{1}{c}{\textbf{Tracking}} \\ + \textbf{1} & \includegraphics[width=0.49\textwidth]{figures/pAu25Vx100new.png} + & \includegraphics[width=0.49\textwidth]{figures/pAu25Tr100new.png} + \\ + \textbf{2a} & \includegraphics[width=0.49\textwidth]{figures/AuAu10Vx100new.png} + & \includegraphics[width=0.49\textwidth]{figures/AuAu10Tr100new.png} + \\ + \textbf{2b} & \includegraphics[width=0.49\textwidth]{figures/AuAu10Vx50new.png} + & \includegraphics[width=0.49\textwidth]{figures/AuAu10Tr50new.png} + \\ + \textbf{3} & \includegraphics[width=0.49\textwidth]{figures/AuAu4Vx50new.png} + & \includegraphics[width=0.49\textwidth]{figures/AuAu4Tr50new.png} + \\ + +\end{tabularx} +\caption{Hit Rates per Sensor. Please note that only one half of the detector is shown. Due to symmetry +under change of the polarity of the magnetic field, the other half has to be able to handle the same amounts of hits.} +\label{tab:hitrates} +\end{center} +\end{table} + +The simulation results for the four experimental cases and the two detector setups are shown in +table \ref{tab:hitrates}. The color code marks the sensors of different stations. While we have a +very asymmetric hit distribution due to the large number of delta-electrons, the detector has to be +built symmetrical in both halves (rotated by 180 degree, not mirrored) to account for the +possibility to reverse the magnetic field. Due to that, only one half of the sensors is shown in +the diagrams. + +For the 3 available station types, different experimental cases are the ones generating the largest +occupancy at design interaction rate: +\begin{description} + \item[Station Type 0:] Au+Au, 10 AGeV, 50\% field, Vertexing. The inner sensors have 250 hits/frame, the outer ones 130 hits/frame. \\ + $\rightarrow$ 8 links are needed for the inner sensors, the outer could work with four. + \item[Station Type 1:] Au+Au, 10 AGeV, 50\% field, Tracking. The inner sensors have 30 to 110 hits/frame, the outer ones up to 20 hits/frame.\\ + $\rightarrow$ 4 links are sufficient for all sensors, the outer sensors could work with two. + \item[Station Type 3:] Au+Au, 10 AGeV, 50\% field, Vertexing. All sensors are below 30 hits/frame. \\ + $\rightarrow$ 2 links are sufficient for all sensors +\end{description} + + + + +\section{Possible Interaction Rates} +The current MVD was designed with two key numbers for interaction rates: 100~kHz Au+Au and 10~MHz +p+Au. + +The design of the internal Mimosis data buses was driven by the hit rate expected for the one +most exposed sensor. The worst case was identified as Au+Au at 10 AGeV and 50\% magnetic field in +the Vertexing setup. In all other cases the hit rates are drastically reduced and the reachable +interaction rates can be above the design value of 100 kHz. + +In table \ref{tab:interactionrate} we try to summarize which interaction rates can be accepted based on the +current simulations. The rates should be understood as minimum bias interaction rates averaged over +a period of about 100~$\upmu$s. This interval is roughly the time the internal buffer of the sensors are +able to store all data without loss as long as the internal data rate limits are not exceeded. +Issues like tracking efficiency loss due to event pile-up within one frame is not taken into +account. + +The table shows two interaction rates for all possible setups: The first is the nominal rate that +can be achieved with a setup optimized for the design value of 100 kHz Au+Au interactions. The +second one is the rate that can be achieved with slight modifications to the setup as discussed in +the comments column. + +\begin{table}[h] +\begin{center} +\begin{tabularx}{\textwidth}{cc|c|c|X} + && \multicolumn{2}{c|}{\textbf{Interaction Rate}} & \\ + \textbf{Setup} & \textbf{Case} & \textbf{standard} & \textbf{optimized} & \textbf{comment}\\ + \hline + Vertexing & 1 & 20 MHz & --- & \\ + & 2a & 250 kHz & (400 kHz) & with 30\% data loss in 2 most central sensors \\ + & 2b & 150 kHz & (350 kHz) & with 40\% data loss in 2 most central sensors \\ + & 3 & 300 kHz & (500 kHz) & with 20\% data loss in 2 most central sensors\\ + \hline + Tracking & 1 & 30 MHz & --- & \\ + & 2a & 400 kHz & 800 kHz & inner sensors with additional links \\ + & 2b & 150 kHz & 400 kHz & inner sensors with additional links \\ + & 3 & 1 MHz & 2 MHz & inner sensors with additional links\\ +\end{tabularx} +\caption{Achievable interaction rates in all studied experimental cases and for both detector geometries.} +\label{tab:interactionrate} +\end{center} +\end{table} + +In Vertexing Geometry, the limiting factor for heavy ion beam is in all cases the delta-electron load +on two of the innermost sensors of the first station (type 0). Their read-out bandwidth can not be increased +without substantial changes to the sensor itself. If we decide to accept some data loss from these 2 +sensors, the interaction rate can be doubled, before more sensors hit their rate limit. + +In Tracking Geometry, the limiting factor are the innermost sensors of the first station (type 1). +Here, the number of data output links can be increased from 4 to 8 to gain a factor of two in event +rate. The high rates affect 6 sensors, but due to symmetry under magnetic field reversal this +number increases to 12. An additional point is that this station is used twice in the Tracking +geometry and the additional links are not needed in the second station. This can be achieved using the same cable and front-end board hardware +with an appropriate connection scheme and leaving some links unconnected. The latter is named ``Type 1b'' +below. The feasibility of this needs to be investigated. + + +\section{Data Link Counts} +Each GBTx chip is able to transport data from 10 sensor links. The total number of chips required +is slightly higher than the theoretical value because sensors from both sides of the detector are +read out through independent front-end boards and it is not foreseen to route links between the +sides of a detector station. + +The number of data links in each detector geometry, based on nominal interaction rates is summarized in +the table \ref{tab:linknormal}. The total amount of GBTx chips required are 76 or 84, depnding on +the detector geometry. + +\begin{table}[h] +\begin{center} +\begin{tabular}{c|c|c|c|c|c} + & \multicolumn{3}{c|}{\textbf{Sensors with ... links}}& \textbf{Total} &\\ + & $\quad$\textbf{2}$\quad$ & $\quad$\textbf{4}$\quad$ & $\quad$\textbf{8}$\quad$ & \textbf{Links} & \textbf{GBTx}\\ + \hline + \textbf{Type 0} & 0 & 0 & 8 & 64 & 8\\ + \textbf{Type 1} & 0 & 32 & 0 & 128 & 16\\ + \textbf{Type 3} & 112 & 0 & 0 & 224 & 26\\ + \hline\hline + &\multicolumn{3}{c|}{\textbf{Types}}&&\\ + \textbf{Vertexing} &\multicolumn{3}{c|}{0 + 1 + 3 + 3} & 640 & 76 \\ + \textbf{Tracking} & \multicolumn{3}{c|}{1 + 1 + 3 + 3} & 704 & 84 \\ +\end{tabular} +\caption{Number of links per station and number of links for each geometry.} +\label{tab:linknormal} +\end{center} +\end{table} + +If the total power consumption and amount of data links is a concern, the outermost sensors of each station could be run with +less links than the inner ones as shown in table \ref{tab:linklow}. This allows for a slight reduction only because all sensors of station type 3 are already at +the lower limit of possible configurations using only 2 links each. + +\begin{table}[h] +\begin{center} +\begin{tabular}{c|c|c|c|c|c} + & \multicolumn{3}{c|}{\textbf{Sensors with ... links}}& \textbf{Total} &\\ + & $\quad$\textbf{2}$\quad$ & $\quad$\textbf{4}$\quad$ & $\quad$\textbf{8}$\quad$ & \textbf{Links} & \textbf{GBTx}\\ + \hline + \textbf{Type 0} & 0 & 4 & 4 & 48 & 6\\ + \textbf{Type 1} & 16 & 16 & 0 & 96 & 12\\ + \textbf{Type 3} & 112 & 0 & 0 & 224 & 26\\ + \hline\hline + &\multicolumn{3}{c|}{\textbf{Types}}&&\\ + \textbf{Vertexing} &\multicolumn{3}{c|}{0 + 1 + 3 + 3} & 592 & 70 \\ + \textbf{Tracking} & \multicolumn{3}{c|}{1 + 1 + 3 + 3} & 640 & 76 \\ +\end{tabular} +\caption{Optimized for total number of data links: Number of links per station and number of links for each geometry.} +\label{tab:linklow} +\end{center} +\end{table} + + +If the detector is to support the ``optimized'' interaction rates, the number of links has to be +increased slightly as shown in table \ref{tab:linkhigh}. As mentioned before, in this case it makes sense to consider using two different versions of +station type 1 with different number of links. The total number of links required increases to 88 +and 96, respectively. + +\begin{table}[h] +\begin{center} +\begin{tabular}{c|c|c|c|c|c} + & \multicolumn{3}{c|}{\textbf{Sensors with ... links}}& \textbf{Total} &\\ + & $\quad$\textbf{2}$\quad$ & $\quad$\textbf{4}$\quad$ & $\quad$\textbf{8}$\quad$ & \textbf{Links} & \textbf{GBTx}\\ + \hline + \textbf{Type 0} & 0 & 0 & 8 & 64 & 8\\ + \textbf{Type 1a} & 0 & 20 & 12 & 172 & 20\\ + \textbf{Type 1b} & 0 & 32 & 0 & 128 & 16\\ + \textbf{Type 3} & 92 & 20 & 0 & 264 & 30\\ + \hline\hline + &\multicolumn{3}{c|}{\textbf{Types}}&&\\ + \textbf{Vertexing} &\multicolumn{3}{c|}{0 + 1a + 3 + 3} & 766 & 88 \\ + \textbf{Tracking} & \multicolumn{3}{c|}{1a + 1b + 3 + 3} & 828 & 96 \\ +\end{tabular} +\caption{Optimized for increased event rate: Number of links per station and number of links for each geometry.} +\label{tab:linkhigh} +\end{center} +\end{table} + + +\section{Possible Improvements} +Due to the large asymmetry of hits caused by delta-electrons, the total number of links that are +required increases quite drastically in the affected regions. In case the polarity of the magnetic +field is fixed, we can build the detector with about 20\% less links as only one side of the +detector will be hit by delta-electrons. + +The outer sensors in the last stations receive only a tiny amount of hits. It might be possible to +revise the sensor design to be able to run with only one active link to reduce the power +dissipation of the detector station and the total number of data links required. One links is able +to transport up to 20 hits/frame. + +The third station is planned to be equipped with a station type 3, while the (dropped) type 2 would +suffice to cover the whole acceptance of CBM. It should be discussed if the outer sensors can be +disabled to save on power and data rate. This results in about 100 links less and 30\% less power +consumption. + +If a station of type 1a is built, it should be considered to replace the type 0 station with a type 1a +with the outer sensors disabled. This would save yet another different station setup for a total of only +two different station types. + +% +% \section{Conclusion} +% +% Looks like we didn't mess it up completely although we designed the sensor without proper +% simulations. + +% \cite{Ablyazimov:2017guv} + + +% \begin{thebibliography}{1} +% +% \bibitem{Ablyazimov:2017guv} +% T.~Ablyazimov et~al., \emph{{Challenges in QCD matter physics --The scientific +% programme of the Compressed Baryonic Matter experiment at FAIR}}, Eur. Phys. +% J. \textbf{A53} (2017), no.~3, 60. +% +% \end{thebibliography} + + + -- 2.43.0