##################################################################################### #### Commands to run the different programs to produce foreground maps #### and compute radio-source subtracted P(k) ##################################################################################### ### Cube definition in file cubedef.h ### Step 1/ Produce an LSS data cube with appropriate size and redshift using SimLSS # 1.a/ Run SimLSS csh> ~/Objs/exe/cmvginit3df -a -1 -2 -C -G 0. -F 0 -x 360,3 -y 360,3 -z 256,1.5 -Z 0.56 -8 1. -n 10000 -O 0,2 -o lssz056 -T 2 # 1.b/ To run SimLSS with GSM map parameters (DeltaFreq=500 MHz) csh> ~/Objs/exe/cmvginit3df -a -1 -2 -C -G 0. -F 0 -x 360,3 -y 360,3 -z 256,3 -Z 0.60 -8 1. -n 10000 -O 0,2 -o lssz060 -T 2 # 1.c/ To run SimLSS with GSM map parametersand 40x40 deg maps (DeltaFreq=500 MHz) csh> ~/Objs/exe/cmvginit3df -a -1 -2 -C -G 0. -F 0 -x 600,1.9 -y 800,1.9 -z 256,2.8 -Z 0.60 -8 1. -n 10000 -O 0,2 -o lssz060 -T 2 # 1.c/ Change the X and Z axis of the cube to adapt it to RadioBeam package convention # SimLSS output : the radial (redshift) direction along X axis of the cube (TArray) # RadioBeam cubes : the radial (redshift) direction along Z axis of the cube (TArray) # Execucte the following script in spiapp : csh> cat > racube.pic set f lssz060 readfits ${f}_r.fits rename ${f}_r map print map c++exec \ TArray omap(map.SizeY(),map.SizeZ(),map.SizeX()-2 ); \ for(sa_size_t i=0;i spiapp -term -exec racube.pic #### Cube LSS 40x30 deg (3') @ z=0.6 ( lsscubez060.ppf ) #### -> Size= 122880000 Mean=-7.01664e-05 Sigma=2.53016 Min=-13.7439 Max=14.4648 ## Step 2/ Produce synchrotron and radio source sky cubes (cube unit is Temparature- Kelvin) # 2.a/ Synchrotron map from HASLAM 400 MHz map csh> ./Objs/syncube syncmap_eq.fits syncube.ppf syncmap.ppf # 2.b/ radio source cube from NVSS catalog csh> ./Objs/srcat2cube -nvss nvss.fits nvsscube.ppf nvssmap.ppf # Or from the north20 catalog : csh> ./Objs/srcat2cube -north20 north20cm.fits north20cube.ppf north20map.ppf # 2.c/ Add the two cubes using the following spiapp script csh> cat > sumcubes.pic openppf syncube.ppf openppf radsrccube.ppf # expmeansig syncube val # expmeansig nvsscube val c++exec TArray fgndcube = syncube+radsrccube; KeepObj(fgndcube); print fgndcube # expmeansig fgndcube val saveppf fgndcube fgndcube.ppf csh> spiapp -term -exec sumcubes.pic #### syncube:Mean= 1.8101 Sigma= 0.326538 Min= 0.857019 Max= 3.58987 #### nvsscube: Mean= 1.95073 Sigma= 1.68515 Min= 0.857019 Max= 428.398 #### fgndcube=syncube+nvsscube: Mean= 0.140623 Sigma= 1.65068 Min= 0 Max= 426.559 #### north20: fgndcube_north: ## Step 2.b/ Produce foreground cube from GSM csh> ./Objs/gsm2cube ../Catalogs/GSM/ 1 256 fgndcube_gsm.ppf ## Step 3/ Apply lobe (50 meter diameter array) effect on foreground cube and LSS cube csh> set ddish=55. csh> set ddishcor=50. csh> ./Objs/applobe $ddish fgndcube.ppf fgndcube_lobe.ppf csh> ./Objs/applobe -fib $ddish fgndcube.ppf fgndcube_flobe.ppf csh> ./Objs/applobe $ddish lsscube.ppf lsscube_lobe.ppf csh> ./Objs/applobe -fib $ddish lsscube.ppf lsscube_flobe.ppf ## Step 3.b/ Correct for the lobe effect by bringing all to the beam of Diam/Lambda = 150 (55 m @ z=0.7 - 820 MHz) csh> ./Objs/applobe $ddish lsscube_lobe.ppf lsscube_corlobe.ppf $ddishcor csh> ./Objs/applobe $ddish fgndcube_lobe.ppf fgndcube_corlobe.ppf $ddishcor ## Step 3.c/ Apply lobe (Filled 11x11 5m dishes array) effect on foreground cube and LSS cube csh> ./Objs/applobe repf11x11.ppf fgndcube.ppf fgndcube_lobe.ppf csh> ./Objs/applobe repf11x11.ppf lsscube.ppf lsscube_lobe.ppf ## Step 3.d/ Correct for the lobe effect by bringing all to the beam of Diam/Lambda = 150 (55 m @ z=0.7 - 820 MHz) csh> ./Objs/applobe repf11x11.ppf lsscube_lobe.ppf lsscube_corlobe.ppf $ddishcor csh> ./Objs/applobe repf11x11.ppf fgndcube_lobe.ppf fgndcube_corlobe.ppf $ddishcor ### Step 4/ Compute power spectra ## mass to temperature converion factor CT21 ~= 0.21 mK for gHI=2% , 0.11 for gHI=1% , 0.13 for gHI=0.008x(1+0.6) ## Foreground maps are in temperature ## Noise fluctuations Sigma^2 ~ T_sys^2 / t_obs * DeltaFreq ## Tsys ~ 50 K , DeltaFreq ~ 0.5 MHz , t_obs ~ 1 day ~ 80 000 s. ## sigma_noise ~ 0.25 mK -> 3 mK # 4.a/ LSS power spectrum without noise csh> ./Objs/calcpk lsscube.ppf lsspk.ppf 0.13 # and with noise csh> ./Objs/calcpk lsscube.ppf lsspkwn.ppf 0.13 3 # with the lobe effect csh> ./Objs/calcpk lsscube_lobe.ppf lsspklobe.ppf 0.13 csh> ./Objs/calcpk lsscube_flobe.ppf lsspkflobe.ppf 0.13 csh> ./Objs/calcpk lsscube_lobe.ppf lsspklobewn.ppf 0.13 3 csh> ./Objs/calcpk lsscube_corlobe.ppf lsspkcorlobe.ppf 0.13 # 4.b/ Foreground power spectrum csh> ./Objs/calcpk fgndcube.ppf fgndpk.ppf 1000 csh> ./Objs/calcpk fgndcube_lobe.ppf fgndpklobe.ppf 1000 csh> ./Objs/calcpk fgndcube_flobe.ppf fgndpkflobe.ppf 1000 csh> ./Objs/calcpk fgndcube_corlobe.ppf fgndpkcorlobe.ppf 1000 # 4.c/ Extract LSS P(k) from Foreground+LSS+noise , after cleaning/subtraction without beam csh> set beamdesc=repf11x11.ppf csh> set ddishcor=50. csh> set noiselev=1. csh> ./Objs/calcpk2 lsscube.ppf 0.13 fgndcube.ppf 1000 subpk.ppf $noiselev $beamdesc 0. 0. P2 # 4.d / Extract LSS P(k) from Foreground+LSS+noise and beam effect, without beam correction csh> ./Objs/calcpk2 lsscube_lobe.ppf 0.13 fgndcube_lobe.ppf 1000 subpklobe.ppf $noiselev $beamdesc 0. 0. P2 # 4.e / Extract LSS P(k) from Foreground+LSS+noise and beam effect - correcting to a beam of Diam= $ddishcor csh> ./Objs/calcpk2 lsscube_lobe.ppf 0.13 fgndcube_lobe.ppf 1000 subpkcorlobe.ppf $noiselev $beamdesc $ddishcor 0. P2 # Or using a linear fit for foreground subtraction (old version) csh> ./Objs/calcpk2 lsscube_lobe.ppf 0.13 fgndcube_lobe.ppf 1000 subpkcorlobep1.ppf $noiselev $beamdesc $ddishcor 0. P2 # 4.f / Estimate residual noise from Foreground removal : csh> ./Objs/calcpk2 lsscube.ppf 0. fgndcube_lobe.ppf 1000 residcorlobe.ppf $noiselev $beamdesc $ddishcor 0. P2 csh> ./Objs/calcpk2 lsscube.ppf 0. fgndcube_lobe.ppf 1000 residnocor.ppf $noiselev $beamdesc 0. 0. P2 ### Step 5 / Check the results using spiapp setaxesatt 'font=helvetica,bold,16 fixedfontsize minorticks' delobjs * openppf fgndpk.ppf openppf fgndpklobe.ppf openppf fgndpkflobe.ppf openppf fgndpkcorlobe.ppf openppf lsspk.ppf openppf lsspklobe.ppf openppf lsspkflobe.ppf openppf lsspklobewn.ppf openppf subpklobe.ppf openppf subpkcorlobe.ppf openppf subpknolss.ppf # openppf subpknolssnocor.ppf disp lsspk 'logx logy nsta xylimits=0.005,2.,4e-11,8e-6 gold' disp lsspklobe 'same nsta orange' disp lsspklobewn 'same nsta siennared' settitle ' Pk[LSS] - without normalisation' ' ' 'font=helvetica,bold,16 black' disp fgndpk 'logx logy nsta xylimits=0.005,2.,1e-10,1. navyblue' disp fgndpklobe 'same nsta blue' disp fgndpkcorlobe 'same nsta skyblue' disp lsspk 'same nsta gold' disp lsspklobewn 'same nsta siennared' # settitle 'Pk[LSS] , Pk[Foreground] and lobe effect (Dish D=50 m)' ' ' 'font=helvetica,bold,18' settitle 'Pk[LSS] , Pk[Foreground=GSM] and lobe effect (Dish D=50 m)' ' ' 'font=helvetica,bold,18' set lines ( 'Pk[Foreground]' 'Pk[fgnd]*Lobe' 'Pk[fgnd]*Lobe/Corrected' 'Pk[LSS]' 'Pk[LSS]*Lobe+Noise' ) set cols ( navyblue blue skyblue gold siennared ) textdrawer lines cols 'font=helvetica,bold,16 frame' disp lsspk 'logx logy nsta xylimits=0.005,2.,4e-9,4e-5 gold' disp lsspklobewn 'same nsta siennared' disp subpkcorlobe 'same nsta red' disp subpknolss 'same nsta green' # Calcul du volume total en Mpc^3 set VOL (1.9*1.9*2.8*800*600*256) plot2d lsspk x val*$VOL 1 'logx logy nsta xylimits=0.01,2.,10.,1e4 cpts marker=box,5 gold' plot2d lsspklobewn x val*$VOL 1 'same nsta cpts marker=box,5 siennared' plot2d subpkcorlobe x val*$VOL 1 'same nsta cpts marker=box,5 red' plot2d subpklobe x val*$VOL 1 'same nsta cpts marker=box,5 blueviolet' plot2d subpknolss x val*$VOL 1 'same nsta cpts marker=box,5 green' # settitle 'Recovered Pk[LSS] In=LSS+(GSM) (D=50 m)' ' ' 'font=helvetica,bold,18' settitle 'Recovered Pk[LSS] In=LSS+(Haslam+North20cm) (D=50 m)' ' ' 'font=helvetica,bold,18' setaxelabels 'k (Mpc^-1) h=0.7' 'P(k) (mK^2 Mpc^3)' 'font=helvetica,bolditalic,16' set lines ( 'Pk[LSS]' 'Pk[LSS*lobe+noise]' 'Pk[ExtractedLSS]' 'Pk[ExtLSS,NoBeamCor]' 'Pk[residual,NoLSS]' ) set cols ( gold siennared red blueviolet green ) textdrawer lines cols 'font=helvetica,bold,16 frame' plot2d lsspk x val*$VOL 1 'logx logy nsta xylimits=0.01,2.,10.,1e4 cpts marker=box,5 gold' plot2d lsspklobewn x val*$VOL 1 'same nsta cpts marker=box,5 red' plot2d subpknolss x val*$VOL 1 'same nsta cpts marker=box,5 green' plot2d subpknolssnocor x val*$VOL 1 'same nsta cpts marker=box,5 magenta' setaxelabels 'k (Mpc^-1) h=0.7' 'P(k) (mK^2 Mpc^3)' 'font=helvetica,bolditalic,16' settitle 'Recovered Pk[LSS] and residual systematics' ' ' 'font=helvetica,bold,18' set lines ( 'Pk[LSS]' 'Pk[LSS*lobe+noise]' 'Pk[residual,NoLSS]' 'Pk[residual,NoLSS,NoBeamCorrection]' ) set cols ( gold red green magenta ) textdrawer lines cols 'font=helvetica,bold,16 frame'