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FMC DEL 1ns 4cha
Commit b2a1db4e authored by Tomasz Wlostowski's avatar Tomasz Wlostowski
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doc: long term test report

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dup 1 lt {pop 1} if 10 mul /udl exch def} def
/PL {stroke userlinewidth setlinewidth
Rounded {1 setlinejoin 1 setlinecap} if} def
3.8 setmiterlimit
% Default Line colors
/LCw {1 1 1} def
/LCb {0 0 0} def
/LCa {0 0 0} def
/LC0 {1 0 0} def
/LC1 {0 1 0} def
/LC2 {0 0 1} def
/LC3 {1 0 1} def
/LC4 {0 1 1} def
/LC5 {1 1 0} def
/LC6 {0 0 0} def
/LC7 {1 0.3 0} def
/LC8 {0.5 0.5 0.5} def
% Default Line Types
/LTw {PL [] 1 setgray} def
/LTb {BL [] LCb DL} def
/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def
/LT0 {PL [] LC0 DL} def
/LT1 {PL [4 dl1 2 dl2] LC1 DL} def
/LT2 {PL [2 dl1 3 dl2] LC2 DL} def
/LT3 {PL [1 dl1 1.5 dl2] LC3 DL} def
/LT4 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def
/LT5 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC5 DL} def
/LT6 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC6 DL} def
/LT7 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC7 DL} def
/LT8 {PL [2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 2 dl2 2 dl1 4 dl2] LC8 DL} def
/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def
/Dia {stroke [] 0 setdash 2 copy vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke
Pnt} def
/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V
currentpoint stroke M
hpt neg vpt neg R hpt2 0 V stroke
} def
/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke
Pnt} def
/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M
hpt2 vpt2 neg V currentpoint stroke M
hpt2 neg 0 R hpt2 vpt2 V stroke} def
/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke
Pnt} def
/Star {2 copy Pls Crs} def
/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath fill} def
/TriUF {stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath fill} def
/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke
Pnt} def
/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath fill} def
/DiaF {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath fill} def
/Pent {stroke [] 0 setdash 2 copy gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore Pnt} def
/PentF {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath fill grestore} def
/Circle {stroke [] 0 setdash 2 copy
hpt 0 360 arc stroke Pnt} def
/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def
/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def
/C1 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
vpt 0 360 arc closepath} bind def
/C2 {BL [] 0 setdash 2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath} bind def
/C3 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
vpt 0 360 arc closepath} bind def
/C4 {BL [] 0 setdash 2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc closepath} bind def
/C5 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc
2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc} bind def
/C6 {BL [] 0 setdash 2 copy moveto
2 copy vpt 90 270 arc closepath fill
vpt 0 360 arc closepath} bind def
/C7 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 270 arc closepath fill
vpt 0 360 arc closepath} bind def
/C8 {BL [] 0 setdash 2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C9 {BL [] 0 setdash 2 copy moveto
2 copy vpt 270 450 arc closepath fill
vpt 0 360 arc closepath} bind def
/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath} bind def
/C11 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C12 {BL [] 0 setdash 2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C13 {BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/C14 {BL [] 0 setdash 2 copy moveto
2 copy vpt 90 360 arc closepath fill
vpt 0 360 arc} bind def
/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
vpt 0 360 arc closepath} bind def
/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
neg 0 rlineto closepath} bind def
/Square {dup Rec} bind def
/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def
/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def
/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def
/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def
/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill
exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def
/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
2 copy vpt Square fill Bsquare} bind def
/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def
/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def
/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
Bsquare} bind def
/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
Bsquare} bind def
/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def
/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy vpt Square fill Bsquare} bind def
/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy exch vpt sub exch vpt Square fill Bsquare} bind def
/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def
/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def
/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def
/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def
/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def
/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def
/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def
/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def
/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def
/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def
/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def
/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def
/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def
/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def
/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def
/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def
/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def
/DiaE {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke} def
/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke} def
/TriUE {stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke} def
/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke} def
/PentE {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore} def
/CircE {stroke [] 0 setdash
hpt 0 360 arc stroke} def
/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def
/DiaW {stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V Opaque stroke} def
/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V Opaque stroke} def
/TriUW {stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V Opaque stroke} def
/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V Opaque stroke} def
/PentW {stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
Opaque stroke grestore} def
/CircW {stroke [] 0 setdash
hpt 0 360 arc Opaque stroke} def
/BoxFill {gsave Rec 1 setgray fill grestore} def
/Density {
/Fillden exch def
currentrgbcolor
/ColB exch def /ColG exch def /ColR exch def
/ColR ColR Fillden mul Fillden sub 1 add def
/ColG ColG Fillden mul Fillden sub 1 add def
/ColB ColB Fillden mul Fillden sub 1 add def
ColR ColG ColB setrgbcolor} def
/BoxColFill {gsave Rec PolyFill} def
/PolyFill {gsave Density fill grestore grestore} def
/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def
%
% PostScript Level 1 Pattern Fill routine for rectangles
% Usage: x y w h s a XX PatternFill
% x,y = lower left corner of box to be filled
% w,h = width and height of box
% a = angle in degrees between lines and x-axis
% XX = 0/1 for no/yes cross-hatch
%
/PatternFill {gsave /PFa [ 9 2 roll ] def
PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate
PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec
gsave 1 setgray fill grestore clip
currentlinewidth 0.5 mul setlinewidth
/PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def
0 0 M PFa 5 get rotate PFs -2 div dup translate
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 M 0 PFs V} for
0 PFa 6 get ne {
0 1 PFs PFa 4 get div 1 add floor cvi
{PFa 4 get mul 0 2 1 roll M PFs 0 V} for
} if
stroke grestore} def
%
/languagelevel where
{pop languagelevel} {1} ifelse
2 lt
{/InterpretLevel1 true def}
{/InterpretLevel1 Level1 def}
ifelse
%
% PostScript level 2 pattern fill definitions
%
/Level2PatternFill {
/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8}
bind def
/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke}
>> matrix makepattern
/Pat1 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke
0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke}
>> matrix makepattern
/Pat2 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L
8 8 L 8 0 L 0 0 L fill}
>> matrix makepattern
/Pat3 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L
0 12 M 12 0 L stroke}
>> matrix makepattern
/Pat4 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L
0 -4 M 12 8 L stroke}
>> matrix makepattern
/Pat5 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L
0 12 M 8 -4 L 4 12 M 10 0 L stroke}
>> matrix makepattern
/Pat6 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L
0 -4 M 8 12 L 4 -4 M 10 8 L stroke}
>> matrix makepattern
/Pat7 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L
12 0 M -4 8 L 12 4 M 0 10 L stroke}
>> matrix makepattern
/Pat8 exch def
<< Tile8x8
/PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L
-4 0 M 12 8 L -4 4 M 8 10 L stroke}
>> matrix makepattern
/Pat9 exch def
/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def
/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def
/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def
/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def
/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def
/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def
/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def
} def
%
%
%End of PostScript Level 2 code
%
/PatternBgnd {
TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse
} def
%
% Substitute for Level 2 pattern fill codes with
% grayscale if Level 2 support is not selected.
%
/Level1PatternFill {
/Pattern1 {0.250 Density} bind def
/Pattern2 {0.500 Density} bind def
/Pattern3 {0.750 Density} bind def
/Pattern4 {0.125 Density} bind def
/Pattern5 {0.375 Density} bind def
/Pattern6 {0.625 Density} bind def
/Pattern7 {0.875 Density} bind def
} def
%
% Now test for support of Level 2 code
%
Level1 {Level1PatternFill} {Level2PatternFill} ifelse
%
/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont
dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall
currentdict end definefont pop
end
%%EndProlog
gnudict begin
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doclip
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0.050 0.050 scale
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newpath
(Helvetica) findfont 140 scalefont setfont
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currentpoint gsave translate -270 rotate 0 0 M
(Sample count) Cshow
grestore
LTb
LCb setrgbcolor
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(Time [ns]) Cshow
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% Begin plot #1
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\documentclass{article}
\usepackage{rotating}
\usepackage{hyperref}
\usepackage[margin=1in]{geometry}
\title{ FMC Delay 1ns 4cha (Fine Delay) \\ \large{Long term test report}}
\author{Tomasz Wlostowski, CERN BE-CO-HT}
\date{September 2013, git version: \ttfamily{ddbf6ec}}
\begin{document}
\maketitle
\section{Introduction}
This report provides a summary of tests performed on a specimen of the Fine Delay (FmcDelay1ns4cha, further abbreviated as FD) card \cite{homepage}.
The purpose of these tests was to:
\begin{itemize}
\item Check the stability of the card's operation over a long period of time.
\item Gather statistics of trigger-to-output delay.
\end{itemize}
The report does not cover all possible delay values, as it would be impractical due to very wide delay range (up to 120 seconds) supported by the FD. The VHDL was designed and verified on simulation in such a way that passing the long term test at a single delay setting automatically proves stability for other delay values (as the test assumes that trigger pulses are uncorrelated with the card's reference clock).
\section{Measurements}
\subsection{Setup}
The measurement system used is depicted in Figure \ref{fig:meas_system}. It consists of:
\begin{itemize}
\item Pulse source: a HP 33250A waveform generator (S/N: MY40001267).
\item Time interval meter: Pendulum CNT-91 \cite{cnt91} (S/N: 205575), measuring the trigger-to-output delay of the FD mezzanine. Only 1 output of the FD was used, as other outputs have an identical structure (and we don't have enough CNT-91's...).
\item FD mezzanine (version V5-2 \cite{edms}, S/N: CR000010) under test with a SVEC carrier \cite{svec}, hosted in a VME64x crate with a MEN A20 controller.
\item PC running Linux for data logging and controlling the CNT-91 TDC.
\item Software for the MEN A20 and the PC for data logging (C program and some Python scripts). Temperature and timestamp data were sent from the VME crate to the PC via a TCP connection.
\end{itemize}
\begin{figure}[htb]
\centering
\includegraphics[width=16cm]{drawings/connection_diagram}
\caption{Long term measurement setup.}
\label{fig:meas_system}
\end{figure}
The card's trigger input was fed with 2 microsecond-wide pulses of 3 V amplitude and a 100 Hz rate, with a 50 $\Omega$ input termination. The card was configured to introduce a 700 ns delay. A low delay value was chosen to eliminate the drift of the local oscillator from the results (which in the long term could hide random/spurious artifacts such as incorrect FD's TDC timestamps).
For each trigger pulse, the following parameters were recorded:
\begin{itemize}
\item Trigger-to-output delay, measured with the CNT-91.
\item Board temperature, measured using the integrated temperature sensor.
\item TDC timestamp, read by the driver.
\end{itemize}
\subsection{Results}
The tests consist of two continuous runs, one of 14 days and another of 34.5 days, that is ~48.5 days in total.
There was a short gap between the two series caused by reconfiguration of the CERN network.
Table \ref{tbl:summary} summarizes all the samples gathered. The uncorrected jitter value is based on raw delay
measurements taken from the CNT-91. The corrected one compensates for the the jitter of the
CNT-91 (done by subtracting squared standard deviations assuming that both CNT-91 and FD jitter is of Gaussian shape and independent).
\begin{table}[h]
\centering
\caption{Long term delay statistics.}
\vskip 2mm
\begin{tabular}{ l | l }
\bfseries{Parameter} & \bfseries{Value} \\
\hline
Total samples & 419,157,455\\
Cabling delay & 12.7 ns\\
Average delay & 699.94 ns\\
Maximum delay & 700.54 ns\\
Minimum delay & 699.5 ns\\
Worst case error & 0.59 ns\\
Uncorrected rms jitter & 72 ps\\
CNT-91 rms jitter & 31 ps\\
Corrected rms jitter & 65 ps\\
CNT-91 maximium delay & -0.12 ns\\
CNT-91 minimium delay & 0.12 ns\\
Minimum temperature & 65 degrees C\\
Maximum temperature & 68 degrees C \\
\end{tabular}
\label{tbl:summary}
\end{table}
Short-term stability was characterized by picking a 1-minute long averaging window. The results are presented in Table \ref{tbl:summary_notemp}.
\begin{table}[h]
\centering
\caption{Short term delay statistics.}
\vskip 2mm
\begin{tabular}{ l | l }
\bfseries{Parameter} & \bfseries{Value} \\
\hline
Number of samples & 6000\\
Average delay & 699.93 ns\\
Maximum delay & 700.28 ns\\
Minimum delay & 699.62 ns\\
Worst case error (wrs to the average delay) & 300 ps\\
Typical ACAM rms jiitter & 41 ps\\
Delay line rms jitter & 10 ps\\
Theoretical rms jitter & 42 ps\\
Measured rms jitter & 57 ps\\
\end{tabular}
\label{tbl:summary_notemp}
\end{table}
The plot in Figure \ref{fig:plot_average} visualizes the short term average, minimum and maximum delay values.
\begin{figure}[htb]
\centering
\includegraphics[width=13cm]{drawings/plot_average}
\caption{Average, minimum and maximum trigger-to-output delay (sliding average with a 1-minute window).}
\label{fig:plot_average}
\end{figure}
During the entire test, 3 events outside the specified range were discovered:
\begin{itemize}
\item sample 114714751: 697.67 ns (-2.33 ns error)
\item sample 391199777: 700.86 ns (0.86 ns error)
\item sample 406143035: 702.16 ns (2.16 ns error)
\end{itemize}
We attribute these errors to the ACAM TDC \cite{acam}, as they exist both in the timestamps read out by the driver (the input signal is periodic) and in the measured delays. Similar events have been observed
for the \emph{FmcTdc} card \cite{fmctdc} and in older versions of the FD firmware, where the TDC works in a different mode (respectively, I- and R-modes).
To our knowledge, this test is the first public, long term stability test of the ACAM TDC-GPX chip. Given the size of the statistics data, 3 out of 420 million events are extremely rare (below 7 sigma threshold) and do not exceed
2.5 ns (the typical applications advertised for this chip, such as PET tomography, spectroscopy of laser rangefinders are likely not concerned by such a low error rate).
The plot in Figure \ref{fig:jitter_histogram} shows the histogram of the jitter in the measured delay values. It resembles a gaussian shape. Note that certain bins are empty due to the discrete nature of both the FD and the CNT-91.
\begin{figure}[htb]
\centering
\includegraphics[width=13cm]{drawings/jitter_histogram}
\caption{Histogram of trigger-to-output jitter.}
\label{fig:jitter_histogram}
\end{figure}
\section{Summary}
\textbf{Final results have confirmed long term stability and compliance of the card with the specification}:
\begin{itemize}
\item Absolute delay accuracy is better than 1 ns,
\item Input-to-output rms jitter (standard deviation) is better than 100 ps.
\end{itemize}
Further testing with a climatic chamber could be performed to determine the effects of temperature on the jitter and accuracy, and allow the software to compensate for them, if needed.
\begin{thebibliography}{9}
\bibitem{edms}
Official schematics and PCB design (CERN EDMS), \url{https://edms.cern.ch/nav/EDA-02267-V5-2}
\bibitem{homepage}
Fine Delay hardware homepage and Wiki, \url{http://www.ohwr.org/projects/fmc-delay-1ns-8cha}
\bibitem{manual}
Official user's manual, \url{http://www.ohwr.org/documents/179}
\bibitem{svec}
SVEC FMC Carrier Project, \url{http://ohwr.org/projects/svec}
\bibitem{cnt91}
Pendulum CNT-91 TDC/Frequency meter, \href{http://www.spectracomcorp.com/ProductsServices/TestandMeasurement/FrequencyAnalyzersCounters/CNT9191RTimerCounterAnalyzerCalibrator/tabid/1283/Default.aspx}{manufacturer's website}
\bibitem{acam}
ACAM TDC-GPX TDC chip, \url{http://www.acam.de/products/time-to-digital-converter/tdc-gpx}
\bibitem{fmctdc}
FmcTdc1ns5cha project, \url{http://www.ohwr.org/projects/fmc-tdc}
\end{thebibliography}
\end{document}
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