Changeset 4045 in Sophya
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- Dec 30, 2011, 12:58:39 AM (12 years ago)
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trunk/Cosmo/RadioBeam/sensfgnd21cm.tex
r4044 r4045 68 68 % \def\changemark{\bf } 69 69 \def\changemark{} 70 \def\changemarkb{\bf } 70 % \def\changemarkb{\bf } 71 \def\changemarkb{} 71 72 72 73 … … 316 317 %%%%%%%% 317 318 \begin{table} 318 \caption{Sensitivity or source detection limit for 1 day integration time (86400 s) and 1 MHz 319 frequency band (left). 21 cm brightness for $10^{10} M_\odot$ \HI for different redshifts (right) } 319 \caption{21 cm source brightness and detection limits. } 320 320 \label{slims21} 321 321 \begin{center} … … 348 348 \end{tabular} 349 349 \end{center} 350 \tablefoot{The left panel shows the sensitivity or source detection limit for 1 day integration time (86400 s) and 1 MHz 351 frequency band. The 21 cm brightness for sources containing $10^{10} M_\odot$ of \HI at different redshifts is given 352 in the right panel. } 350 353 \end{table} 351 354 … … 425 428 426 429 \begin{table} 427 \caption{Mean 21 cm brightness temperature in mK, as a function of redshift, for the 428 standard \LCDM cosmology with constant \HI mass fraction at $\gHIz$=0.01 (a) or linearly 429 increasing mass fraction (b) $\gHIz=0.008(1+z)$ } 430 \caption{21 cm brightness temperature (mK) at different redshifts. } 430 431 \label{tabcct21} 431 432 % \begin{center} … … 442 443 \end{tabular} 443 444 %\end{center} 445 \tablefoot{ Mean 21 cm brightness temperature in mK for the 446 standard \LCDM cosmology as a function of redshift: 447 \tablefoottext{a}{Constant \HI mass fraction \mbox{$\gHIz=0.01$}} 448 \tablefoottext{b}{Linearly increasing mass fraction \mbox{$\gHIz=0.008(1+z)$} } 449 } 444 450 \end{table} 445 451 446 452 \begin{figure} 447 \vspace*{- 4mm}453 \vspace*{-5mm} 448 454 \hspace{-5mm} 449 455 \includegraphics[width=0.57\textwidth]{Figs/pk21cmz12.pdf} … … 979 985 \begin{table} 980 986 \caption{ 981 Sky cube characteristics for the simulation performed in this paper. 982 Cube size : $ 90 \, \mathrm{deg.} \times 30 \, \mathrm{deg.} \times 128 \, \mathrm{MHz}$ ; 983 $1800 \times 600 \times 256 \simeq 123 \times 10^6$ cells 984 } 987 Sky cube characteristics for the simulations described in this paper. } 985 988 \label{skycubechars} 986 989 \begin{center} … … 1002 1005 Frequency & 500 kHz ($d z \sim 10^{-3}$) & 256 \\ 1003 1006 \hline 1004 \end{tabular} \\[1mm]1007 \end{tabular} 1005 1008 \end{center} 1009 \tablefoot{ Cube size : $ 90 \, \mathrm{deg.} \times 30 \, \mathrm{deg.} \times 128 \, \mathrm{MHz}$ ; 1010 $1800 \times 600 \times 256 \simeq 123 \times 10^6$ cells } 1006 1011 \end{table} 1007 1012 %%%% … … 1100 1105 1101 1106 \begin{table} 1102 \caption{ Mean temperature and standard deviation for the different sky brightness 1103 data cubes computed for this study (see table \ref{skycubechars} for sky cube resolution and size).} 1107 \caption{Mean temperature and standard deviation for different sky cubes.} 1104 1108 \label{sigtsky} 1105 1109 \centering … … 1115 1119 \hline 1116 1120 \end{tabular} 1121 % \tablefoot{See table \ref{skycubechars} for sky cube resolution and size.} 1117 1122 \end{table} 1118 1123 … … 1398 1403 1399 1404 \begin{table}[hbt] 1400 \caption{Transfer function (eq. \ref{eq:tfanalytique}) parameters 1401 $(k_A,k_B,k_C)$ at different redshifts 1402 for instrumental setup (e), $20\times20$ packed array interferometer. 1403 {\changemarkb Note that the parameters are given in 1404 $\mathrm{Mpc^{-1}}$ unit, and not in $\mathrm{h \, Mpc^{-1}}$.} 1405 } 1405 \caption{Transfer function parameters.} 1406 1406 \label{tab:paramtfk} 1407 1407 \begin{center} … … 1417 1417 \end{tabular} 1418 1418 \end{center} 1419 \tablefoot{ The transfer function parameters, $(k_A,k_B,k_C)$ (eq. \ref{eq:tfanalytique}) 1420 at different redshifts and for instrumental setup (e), $20\times20$ packed array interferometer, 1421 are given in $\mathrm{Mpc^{-1}}$ unit, and not in $\mathrm{h \, Mpc^{-1}}$. } 1419 1422 \end{table} 1420 1423 … … 1634 1637 \end{equation} 1635 1638 \item {\it Noise}: we add the instrument noise as a constant term $P_{noise}$ as described in Eq. 1636 \ref {eq:pnoiseNbeam}. Table \ref{tab:pnoiselevel} gives the white noise level for 1637 $\Tsys = 50 \mathrm{K}$ and one year total observation time to survey $\Omega_{tot}$ = 1 $\pi$ sr.1639 \ref {eq:pnoiseNbeam}. Table \ref{tab:pnoiselevel} gives the white noise level for a $N=400$ dish interferometer 1640 with $\Tsys = 50 \mathrm{K}$ and one year total observation time to survey $\Omega_{tot}$ = 1 $\pi$ sr. 1638 1641 \item {\it Noise with transfer function}: we take into account the interferometer response and radio foreground 1639 1642 subtraction represented as the measured P(k) transfer function $T(k)$ (section \ref{tfpkdef}), as … … 1642 1645 1643 1646 \begin{table} 1644 \caption{ Instrument or electronic noise spectral power $P_{noise}$ for a $N=400$ dish interferometer with $\Tsys=50$ K and $t_{obs} =$ 1 year to survey $\Omega_{tot} = \pi$ sr }1647 \caption{Noise spectral power.} 1645 1648 \label{tab:pnoiselevel} 1646 1649 \begin{tabular}{|l|ccccc|} … … 1658 1661 1659 1662 \begin{table*}[ht] 1660 \caption{Sensitivity on the measurement of $\koperp$ and $\kopar$ as a 1661 function of the redshift $z$ for various simulation configuration. 1662 $1^{\rm st}$ row: simulations without noise with pure cosmic variance; 1663 $2^{\rm nd}$ row: simulations with electronics noise for a telescope with dishes; 1664 $3^{\rm rd}$ row: simulations with the same electronics noise and with the transfer function ; 1665 $4^{\rm th}$ row: optimized survey with a total observation time of 3 years (3 months, 3 months, 6 months, 1 year and 1 year respectively for redshift 0.5, 1.0, 1.5, 2.0 and 2.5 ).} 1663 \caption{Sensitivity on $\mathbf{k}_{BAO}$ measurement.} 1666 1664 \label{tab:ErrorOnK} 1667 1665 \begin{center} … … 1669 1667 \multicolumn{2}{c|}{$\mathbf z$ }& \bf 0.5 & \bf 1.0 & \bf 1.5 & \bf 2.0 & \bf 2.5 \\ 1670 1668 \hline\hline 1671 \bf No Noise & $\sigma(\koperp)/\koperp$ (\%) & 1.8 & 0.8 & 0.6 & 0.5 &0.5\\1669 \bf No Noise (a) & $\sigma(\koperp)/\koperp$ (\%) & 1.8 & 0.8 & 0.6 & 0.5 &0.5\\ 1672 1670 & $\sigma(\kopar)/\kopar$ (\%) & 3.0 & 1.3 & 0.9 & 0.8 & 0.8\\ 1673 1671 \hline 1674 \bf Noise without Transfer Function & $\sigma(\koperp)/\koperp$ (\%) & 2.3 & 1.8 & 2.2 & 2.4 & 2.8\\1675 (3-months/redshift )& $\sigma(\kopar)/\kopar$ (\%) & 4.1 & 3.1 & 3.6 & 4.3 & 4.4\\1672 \bf Noise without Transfer Function (b) & $\sigma(\koperp)/\koperp$ (\%) & 2.3 & 1.8 & 2.2 & 2.4 & 2.8\\ 1673 (3-months/redshift bin)& $\sigma(\kopar)/\kopar$ (\%) & 4.1 & 3.1 & 3.6 & 4.3 & 4.4\\ 1676 1674 \hline 1677 \bf Noise with Transfer Function & $\sigma(\koperp)/\koperp$ (\%) & 3.0 & 2.5 & 3.5 & 5.2 & 6.5 \\1678 (3-months/redshift )& $\sigma(\kopar)/\kopar$ (\%) & 4.8 & 4.0 & 6.2 & 9.3 & 10.3\\1675 \bf Noise with Transfer Function (c) & $\sigma(\koperp)/\koperp$ (\%) & 3.0 & 2.5 & 3.5 & 5.2 & 6.5 \\ 1676 (3-months/redshift bin)& $\sigma(\kopar)/\kopar$ (\%) & 4.8 & 4.0 & 6.2 & 9.3 & 10.3\\ 1679 1677 \hline 1680 \bf Optimized survey & $\sigma(\koperp)/\koperp$ (\%) & 3.0 & 2.5 & 2.3 & 2.0 & 2.7\\1678 \bf Optimized survey (d) & $\sigma(\koperp)/\koperp$ (\%) & 3.0 & 2.5 & 2.3 & 2.0 & 2.7\\ 1681 1679 (Observation time : 3 years)& $\sigma(\kopar)/\kopar$ (\%) & 4.8 & 4.0 & 4.1 & 3.6 & 4.3 \\ 1682 1680 \hline 1683 1681 \end{tabular} 1684 1682 \end{center} 1683 \tablefoot{Relative errors on $\koperp$ and $\kopar$ measurements are given 1684 as a function of the redshift $z$ for various simulation configurations: \\ 1685 \tablefoottext{a}{$1^{\rm st}$ row: simulations without noise with pure cosmic variance; } \\ 1686 \tablefoottext{b}{$2^{\rm nd}$ row: simulations with electronics noise for a telescope with dishes; } \\ 1687 \tablefoottext{c}{$3^{\rm rd}$ row: simulations with the same electronics noise and with the transfer function; } \\ 1688 \tablefoottext{d}{$4^{\rm th}$ row: optimized survey with a total observation time of 3 years: 3 months, 3 months, 1689 6 months, 1 year and 1 year respectively for \\ redshifts 0.5, 1.0, 1.5, 2.0 and 2.5.} 1690 } 1685 1691 \end{table*}% 1686 1692
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