Simulation data

From Planck PLA Wiki
Jump to: navigation, search

The simulation data can be downloaded from the PLAPlanck Legacy Archive Java interface (Windows -> Supplementary Data).

Introduction


The 2013 Planck data release is supported by a set of simulated maps of the model sky, by astrophysical component, and of that sky as seen by Planck. The simulation process consists of

  1. modeling each astrophysical component of the sky emission for each Planck detector, using pre-Planck data and the relevant characteristics of the Planck instruments (namely the detector plus filter transmissions curves).
  2. simulating each detector's observation of each sky component following the Planck scanning strategy and using the best estimates of the detector's beam and noise properties (now obtained in flight), then combining these timelines into a single one per detector, and projecting these simulated timelines onto observed maps (the fiducial sky), as is done with the on-orbit data;
  3. generating Monte Carlo realizations of the CMBCosmic Microwave background and of the noise, again following the Planck scanning strategy and using our best estimates of the detector beams and noise properties respectively.

The first step is performed by the Planck Sky Model (PSMPlanck Sky Model), and the last two by the Planck Simulation Tools (PST), both of which are described in the sections below.

The production of a full focal plane (FFP) simulation, and including the many MC realizations of the CMBCosmic Microwave background and the noise, requires both HFI(Planck) High Frequency Instrument and LFI(Planck) Low Frequency Instrument data and includes large, computationally challenging, MC realizations. They are too large to be generated on either of the DPCData Processing Center's own cluster. Instead the PST consists of three distinct tools, each designed to run on the largest available supercomputers, that are used to generate the fiducial sky realization, the CMBCosmic Microwave background MC, and the noise MC respectively. The simulations delivered here are part of the 6th generation FFP simulations, known as FFP6. They were primarily generated on the Hopper and Edison systems at NERSC, with some of the LFI(Planck) Low Frequency Instrument noise MCs generated on the Louhi system at CSC.

While FFP6 includes our best measurements of the detector band-passes, main beams and noise power spectral densities, and is guaranteed to be internally self-consistent, there are a number of differences with the real data that should be borne in mind, although all tests performed to date indicate that these are statistically insignificant:

  • the beams do not include far side-lobes;
  • the detector noise characteristics are assumed stable: a single noise spectrum per detector is used for the entire mission;
  • it assumes perfect calibration[LFI meaning]: absolute calibration refers to the 0th order calibration for each channel, 1 single number, while the relative calibration refers to the component of the calibration that varies pointing period by pointing period., transfer function deconvolution and deglitching;
  • it uses the HFI(Planck) High Frequency Instrument pointing solution for the LFI(Planck) Low Frequency Instrument frequencies, rather than the DPCData Processing Center's two focal plane model.
  • it uses a different map-maker to HFI(Planck) High Frequency Instrument, and as a consequence implements very slightly different data cuts - primarily at ring boundaries - resulting in marginally different hit-maps.

The Planck Sky Model

Overall description

The Planck Sky Model, PSMPlanck Sky Model, consists of a set of data and of code used to simulate sky emission at millimeter-wave frequencies; it is described in detail in Delabrouille et al., (2013)[1], henceforth the PSMPlanck Sky Model paper..

The Planck Sky Model is available here: http://www.apc.univ-paris7.fr/~delabrou/PSM/psm.html

The main simulations used to test and validate the Planck data analysis pipelines (and, in particular, component separation) makes use of simulations generated with version 1.7.7 of the PSMPlanck Sky Model software. The total sky emission is built from the CMBCosmic Microwave background plus ten foreground components, namely thermal dust, spinning dust, synchrotron, CO lines, free-free, thermal Sunyaev-Zel'dovich (SZSunyaev-Zel'dovich) effect (with first order relativistic corrections), kinetic SZSunyaev-Zel'dovich effect, radio and infrared sources, Cosmic Infrared Background (CIB).

The CMBCosmic Microwave background is modeled using CAMB. It is based on adiabatic initial perturbations, with the following cosmological parameters:

  • T_CMBCosmic Microwave background = 2.725
  • H = 0.684
  • OMEGA_M = 0.292
  • OMEGA_B = 0.04724
  • OMEGA_NU = 0
  • OMEGA_K = 0
  • SIGMA_8 = 0.789
  • N_S = 0.9732
  • N_S_RUNNING = 0
  • N_T = 0
  • R = 0.0844
  • TAU_REION = 0.085
  • HE_FRACTION = 0.245
  • N_MASSLESS_NU = 3.04
  • N_MASSIVE_NU = 0
  • W_DARK_ENERGY = -1
  • K_PIVOT = 0.002
  • SCALAR_AMPLITUDE = 2.441e-9

and all other parameters are set to the default standard of the Jan 2012 version of CAMB. In addition, this simulated CMBCosmic Microwave background contains non-Gaussian corrections of the local type, with an fNL parameter of 20.4075.

The Galactic ISM emission comprises five components: thermal dust, spinning dust, synchrotron, CO lines, and free-free emission. We refer the reader to the PSMPlanck Sky Model publication for details. For the simulations generated here, however, the thermal dust model has been modified in the following way: instead of being based on the 100 micron map of Schlegel, Finkbeiner and Davis (2008)[2], henceforth SFB, the dust template uses an internal release of the 857 GHz Planck observed map itself, in which point sources have been subtracted, and which has been locally filtered to remove CIB fluctuations in the regions of lowest column density. A caveat is that while this reduces the level of CIB fluctuations in the dust map in some of the regions, in regions of moderate dust column density the CIB contamination is actually somewhat larger than in the SFD map (by reason of different emission laws for dust and CIB, and of the higher resolution of the Planck map).

The other emissions of the galactic ISM are simulated using the prescription described in the PSMPlanck Sky Model paper. Synchrotron, free-free and spinning dust emission are based on WMAP observations, as analyzed by Miville-Deschenes et al. (2008)[3]. Small scale fluctuations have been added to increase the variance on small scales and compensate the lower resolution of WMAP as compared to Planck (in particular for the HFI(Planck) High Frequency Instrument channels). The main limitation of these maps is the presence at high galactic latitude of fluctuations that may be attributed to WMAP noise. The presence of noise and of added Gaussian fluctuations on small scales may result in a few occasional pixels being negative (e.g. in the spinning dust maps). Low frequency foreground maps are also contaminated by some residuals of bright radio sources that have not been properly subtracted from the templates of diffuse emission.

The CO maps are simulated using the CO J=1-0 observations of Dame et al. (2001)[4]. The main limitations are limited sky coverage, lower resolution than that of Planck high frequency channels, line ratios (J=2-1)/(J=1-0) and (J=3-2)/(J=2-1) constant over the sky. The CO in the simulation is limited to the three lowest 12CO lines. No CO maps has been simulated at the LFI(Planck) Low Frequency Instrument frequnecy (30, 44 and 70 GHz).

Galaxy clusters are generated on the basis of cluster number counts, following the Tinker et al. (2008)[5] mass function, for the cosmological parameters listed above. Clusters are assumed perfectly spherical, isothermal, and are modeled using the universal pressure profile of Arnaud et al. (2010)[6]. Relativistic corrections following Itoh et al. (1998)[7] are included to first order. The simulated kinetic SZSunyaev-Zel'dovich effect assumes no bulk flow, and a redshift-dependent average cluster velocity compatible with the linear growth of structures.

Point sources comprise radio sources (based on extrapolations across frequencies of radio observations between 800 MHz and 5 GHz) and infrared sources (based on extrapolations in frequencies of IRAS sources). One caveat is that due to the unevenness of the radio source surveys, the equatorial southern part of the sky has less faint radio sources than the northern part. Although all the missing sources are well below the Planck detection level, this induces a small variation of the total emission background over the sky. Check the individual faint point source emission maps if this is a potential problem for your applications. See also the PSMPlanck Sky Model paper for details about the PSMPlanck Sky Model point source simulations. The PSMPlanck Sky Model separates bright and faint point source; the former are initially in a catalog, and the latter in a map, though a map of the former can also be produced. In the processing below, the bright sources are simulated via the catalog, but for convenience they are delivered as a map.

Finally, the far infrared background due to high redshift galaxies has been simulated using a procedure is based on the distribution of galaxies in shells of density contrast at various redshifts (Castex et al., PhD thesis; paper in preparation). This simulation has been modified by gradually substituting an uncorrelated extra term of CIB emission at low frequencies, artificially added in particular to decorrelate the CIB at frequencies below 217 GHz from the CIB above that frequency, to mimic the apparent decorrelation observed in the Planck Early Paper on CIB power spectrum Planck-Early-XVIII[8].

While the PSMPlanck Sky Model simulations described here provide a reasonably representative multi-component model of sky emission, users are warned that it has been put together mostly on the basis of data sets and knowledge pre-existing the Planck observations themselves. While it is sophisticated enough to include variations of emission laws of major components of the ISM emission, different emission laws for most sources, and a reasonably coherent global picture, it is not (and is not supposed to be) identical to the real sky emission. The users are warned to use these simulations with caution.

PSMPlanck Sky Model Products

To build maps corresponding to the Planck channels, the models described above are convolved with the spectral response of the channel in question. The products given here are for the full frequency channels, and as such they are not used in the Planck specific simulations, which use only individual detector channels. The frequency channel spectral responses used (given in the RIMO), are averages of the responses of the detectors of each frequency channel weighted as they are in the mapmaking step. They are provided for the purpose of testing user's own software of simulations and component separation.

PSMPlanck Sky Model maps of the CMBCosmic Microwave background and of the ten foregrounds are given in the following map products:

HFI(Planck) High Frequency Instrument

LFI(Planck) Low Frequency Instrument


Each file contains a single BINTABLE extension with either a single map (for the CMBCosmic Microwave background file) or one map for each HFI(Planck) High Frequency Instrument/LFI(Planck) Low Frequency Instrument frequency (for the foreground components). In the latter case the columns are named F030, F044 ,F070,F100, F143, … , F857. Units are microKCMBCosmic Microwave background for the CMBCosmic Microwave background, KCMBCosmic Microwave background at 30, 44 and 70 GHz and MJy/sr for the others. The structure is given below for multi-column files.

Note: Original PSMPlanck Sky Model foreground components has been generated at NSIDE 2048 and using a gaussian beam of 4 arcmin, LFI(Planck) Low Frequency Instrument maps where then smoothed to LFI(Planck) Low Frequency Instrument resolution (32.0, 27.0 and 13.0 arcmin for the 30, 44 and 70 GHz) and donwgraded at NSIDE 1024. LFI(Planck) Low Frequency Instrument CMBCosmic Microwave background maps has been smoothed at 13.0 arcmin (70 GHz resolution) and downgraded at NSIDE 1024.

HFI(Planck) High Frequency Instrument FITSFlexible Image Transfer Specification file structure
1. EXTNAME = 'SIM-MAP' : Data columns
Column Name Data Type Units Description
F100 Real*4 K_CMBCosmic Microwave background 100GHz signal map
F143 Real*4 K_CMBCosmic Microwave background 143GHz signal map
F217 Real*4 K_CMBCosmic Microwave background 217GHz signal map
F353 Real*4 K_CMBCosmic Microwave background 353GHz signal map
F545 Real*4 MJy/sr 545GHz signal map
F857 Real*4 MJy/sr 857GHz signal map
Keyword Data Type Value Description
PIXTYPE string HEALPIX
COMP string component Astrophysical omponent
COORDSYS string GALACTIC Coordinate system
ORDERING string NESTED Healpix ordering
NSIDE Int 2048 Healpix Nside for LFI(Planck) Low Frequency Instrument and HFI(Planck) High Frequency Instrument, respectively
FIRSTPIX Int*4 0 First pixel number
LASTPIX Int*4 50331647 Last pixel number, for LFI(Planck) Low Frequency Instrument and HFI(Planck) High Frequency Instrument, respectively
BAD_DATA Real*4 -1.63750E+30 Healpix bad pixel value
BEAMTYPE string GAUSSIAN Type of beam
BEAMSIZE Real*4 size Beam size in arcmin
PSMPlanck Sky Model-VERS string PSMPlanck Sky Model Versions used

LFI(Planck) Low Frequency Instrument FITSFlexible Image Transfer Specification file structure

1. EXTNAME = 'SIM-MAP' : Data columns
Column Name Data Type Units Description
F030 Real*4 KCMB 30GHz signal map
F044 Real*4 KCMB 44GHz signal map
F070 Real*4 KCMB 70GHz signal map
Keyword Data Type Value Description
PIXTYPE string HEALPIX
COMP string component Astrophysical omponent
COORDSYS string GALACTIC Coordinate system
ORDERING string NESTED Healpix ordering
NSIDE Int 1024 Healpix Nside for LFI(Planck) Low Frequency Instrument and HFI(Planck) High Frequency Instrument, respectively
FIRSTPIX Int*4 0 First pixel number
LASTPIX Int*4 12582911 Last pixel number, for LFI(Planck) Low Frequency Instrument and HFI(Planck) High Frequency Instrument, respectively
BAD_DATA Real*4 -1.63750E+30 Healpix bad pixel value
BEAMTYPE string GAUSSIAN Type of beam
BEAMS_30 Real*4 32.0 Beam size at 30 GHz in arcmin
BEAMS_44 Real*4 27.0 Beam size at 44 GHz in arcmin
BEAMS_70 Real*4 13.0 Beam size at 70 GHz in arcmin
PSMPlanck Sky Model-VERS string PSMPlanck Sky Model Versions used

The Fiducial Sky Simulations

For each detector, fiducial time-ordered data are generated separately for each of the ten PSMPlanck Sky Model components using the LevelS software[9] as follows:

  • the detector's beam and PSMPlanck Sky Model map are converted to spherical harmonics using beam2alm and anafast respectively;
  • the beam-convolved map value is calculated over a 3-dimensional grid of sky locations and beam orientations using conviqt;
  • the map-based timelines are calculated sample-by-sample by interpolating over this grid using multimod;
  • the catalogue-based timelines are produced sample-by-sample by beam-convolving any point source laying within a given angular distance of the pointing at each sample time using multimod.

For each frequency, fiducial sky maps are generated for

  • the total signal (i.e. sky + instrument noise), for both the nominal mission and the halfrings thereof (see details)
  • the foreground sky alone (excluding CMBCosmic Microwave background but including noise),
  • the point source sky, and
  • the noise alone

All maps are built using the MADAM destriping map-maker[10] interfaced with the TOAST data abstraction layer . In order to construct the total timelines required by each map, for each detector TOAST reads the various component timelines separately and sums then, and, where necessary, simulates and adds a noise realization time-stream on the fly. HFI(Planck) High Frequency Instrument frequencies are mapped at HEALPix([http://healpix.sourceforge.net Hierarchical Equal Area isoLatitude Pixelation of a sphere], {{BibCite|gorski2005}}) pixelation used to produce Planck sky maps (and HFI HPR). resolution Nside=2048 using ring-length destriping baselines, while LFI(Planck) Low Frequency Instrument frequencies are mapped at Nside=1024 using 1s baselines.

Products delivered

A single simulation is delivered, which is divided into two types of products:

1. six files of the full sky signal at each HFI(Planck) High Frequency Instrument and LFI(Planck) Low Frequency Instrument frequency, and their corresponding halfring maps:

HFI_SimMap_100_2048_R1.10_nominal.fits HFI_SimMap_100_2048_R1.10_nominal_ringhalf_1.fits HFI_SimMap_100_2048_R1.10_nominal_ringhalf_2.fits
HFI_SimMap_143_2048_R1.10_nominal.fits HFI_SimMap_143_2048_R1.10_nominal_ringhalf_1.fits HFI_SimMap_143_2048_R1.10_nominal_ringhalf_2.fits
HFI_SimMap_217_2048_R1.10_nominal.fits HFI_SimMap_217_2048_R1.10_nominal_ringhalf_1.fits HFI_SimMap_217_2048_R1.10_nominal_ringhalf_2.fits
HFI_SimMap_353_2048_R1.10_nominal.fits HFI_SimMap_353_2048_R1.10_nominal_ringhalf_1.fits HFI_SimMap_353_2048_R1.10_nominal_ringhalf_2.fits
HFI_SimMap_545_2048_R1.10_nominal.fits HFI_SimMap_545_2048_R1.10_nominal_ringhalf_1.fits HFI_SimMap_545_2048_R1.10_nominal_ringhalf_2.fits
HFI_SimMap_857_2048_R1.10_nominal.fits HFI_SimMap_857_2048_R1.10_nominal_ringhalf_1.fits HFI_SimMap_857_2048_R1.10_nominal_ringhalf_2.fits
LFI_SimMap_030_1024_R1.10_nominal.fits LFI_SimMap_030_1024_R1.10_nominal_ringhalf_1.fits LFI_SimMap_030_1024_R1.10_nominal_ringhalf_2.fits
LFI_SimMap_044_1024_R1.10_nominal.fits LFI_SimMap_044_1024_R1.10_nominal_ringhalf_1.fits LFI_SimMap_044_1024_R1.10_nominal_ringhalf_2.fits
LFI_SimMap_070_1024_R1.10_nominal.fits LFI_SimMap_070_1024_R1.10_nominal_ringhalf_1.fits LFI_SimMap_070_1024_R1.10_nominal_ringhalf_2.fits


These files have the same structure as the equivalent SkyMap products described in the Frequency Maps chapter, namely one BINTABLE extension with three columns containing 1) Signal, 2) hit-count, and 3) variance. Units are KCMBCosmic Microwave background for all channels.

2. Three files containing 1) the sum of all astrophysical foregrounds, 2) the point sources alone, and 3) the noise alone: which are subproducts of the above, and are in the form of the PSMPlanck Sky Model maps described in the previous section.

These files have the same structure as the PSMPlanck Sky Model output maps described above, namely a single BINTABLE extension with 6 columns named F100 -- F857 each containing the given map for that HFI(Planck) High Frequency Instrument band and with 3 columns named F030, F044, F070 each containing the given map for that LFI(Planck) Low Frequency Instrument band. Units are alway KCMBCosmic Microwave background.

Note that the CMBCosmic Microwave background alone is not delivered as a separate product, but it can be recovered by simple subtraction of the component maps for the total signal map.

Monte Carlo realizations of CMBCosmic Microwave background and of noise

The CMBCosmic Microwave background MC set is generated using FEBeCoP[11], which generates an effective beam for each pixel in a map at each frequency by accumulating the weights of all pixels within a fixed distance of that pixel, summed over all observations by all detectors at that frequency. It then applies this effective beam pixel-by-pixel to each of 1000 input CMBCosmic Microwave background sky realizations.

The noise MC set is generated just as the fiducial noise maps, using MADAM/TOAST. In order to avoid spurious correlations within and between the 1000 realizations, each stationary interval for each detector for each realization is generated from a distinct sub-sequence of a single statistically robust, extremely long period, pseudo-random number sequence.

Products delivered

100 realizations of the CMBCosmic Microwave background (lensed) and of the noise are made available. They are named

  • HFI(Planck) High Frequency Instrument_SimMap_cmb-{nnnn}_2048_R1.nn_nominal.fits
  • HFI(Planck) High Frequency Instrument_SimMap_noise-{nnnn}_2048_R1.nn_nominal.fits
  • LFI(Planck) Low Frequency Instrument_SimMap_cmb-{nnnn}_2048_R1.nn_nominal.fits
  • LFI(Planck) Low Frequency Instrument_SimMap_noise-{nnnn}_2048_R1.nn_nominal.fits

where nnnn ranges from 0000 to 0099.

The FITSFlexible Image Transfer Specification file structure is the same as for the other similar products above, with a single BINTABLE extension with six columns, one for each HFI(Planck) High Frequency Instrument frequency, named F100, F143, … , F857 and with three columns, one for each LFI(Planck) Low Frequency Instrument frequency, named F030, F044, F070. Units are always microKCMBCosmic Microwave background(NB: due to an error in the HFI(Planck) High Frequency Instrument file construction, the unit keywords in the headers indicate KCMBCosmic Microwave background, the "micro" is missing there).

Lensing Simulations

N.B. The information in this section is adapted from the package Readme.txt file.

The lensing simulations package contains 100 realisations of the Planck 2013 "MV" lensing potential estimate, as well as the input CMBCosmic Microwave background and lensing potential [math]\phi[/math] realizations. They can be used to determine error bars for cross-correlations with other tracers of lensing. These simulations are of the PHIBAR map contained in the Lensing map release file. The production and characterisation of this lensing potential map are described in detail in Planck-2013-XVII[12], which describes also the procedure used to generate the realizations given here.


Products delivered

The simulations are delivered as a single tarball of ~17 GB containing the following directories:

obs_plms/dat_plmbar.fits - contains the multipoles of the PHIBAR map in COM_CompMap_Lensing_2048_R1.10.fits
obs_plms/sim_????_plmbar.fits - simulated relizations of PHIBAR, in Alm format.
sky_plms/sim_????_plm.fits - the input multipoles of phi for each simulation
sky_cmbs/sim_????_tlm_unlensed.fits - the input unlensed CMBCosmic Microwave background multipoles for each simulation
sky_cmbs/sim_????_tlm_lensed.fits - the input lensed CMBCosmic Microwave background multipoles for each simulation.
inputs/cls/cltt.dat - Fiducial lensed CMBCosmic Microwave background temperature power spectrum ClTT.
inputs/cls/clpp.dat - Fiducial CMBCosmic Microwave background lensing potential power spectrum ClPP.
inputs/cls/cltp.dat - Fiducial correlation between lensed T and P.
inputs/cls/cltt_unlensed.dat - Fiducial unlensed CMBCosmic Microwave background temperature power spectrum.
inputs/filt_mask.fits.gz - HEALpix Nside=2048 map containing the analysis mask for the lens reconstructions (equivalent to the MASK column in COM_CompMap_Lensing_2048_R1.10.fits)

All of the .fits files in this package are HEALPix([http://healpix.sourceforge.net Hierarchical Equal Area isoLatitude Pixelation of a sphere], {{BibCite|gorski2005}}) pixelation used to produce Planck sky maps (and HFI HPR). Alm, to lmax=2048 unless otherwise specified.

For delivery purposes this package has been split into 2 GB chunks using the unix command

split -d -b 2048m

which produced files with names like COM_SimMap_Lensing_R1.10.tar.nn, with nn=00-07. They can be recombined and the maps extracted via

cat COM_SimMap_Lensing_R1.10.tar.* | tar xvf -

References

  1. The pre-launch Planck Sky Model: a model of sky emission at submillimetre to centimetre wavelengths, J. Delabrouille, M. Betoule, J.-B. Melin, M.-A. Miville-Deschênes, J. Gonzalez-Nuevo, M. Le Jeune, G. Castex, G. de Zotti, S. Basak, M. Ashdown, J. Aumont, C. Baccigalupi, A. Banday, J.-P. Bernard, F. R. Bouchet, D. L. Clements, A. da Silva, C. Dickinson, F. Dodu, K. Dolag, F. Elsner, L. Fauvet, G. Fa&yuml, G. Giardino, S. Leach, J. Lesgourgues, M. Liguori, J. F. Macias-Perez, M. Massardi, S. Matarrese, P. Mazzotta, L. Montier, S. Mottet, R. Paladini, B. Partridge, R. Piffaretti, G. Prezeau, S. Prunet, S. Ricciardi, M. Roman, B. Schaefer, L. Toffolatti, A&A, 553, A96, (2013).
  2. Maps of Dust Infrared Emission for Use in Estimation of Reddening and Cosmic Microwave Background Radiation Foregrounds, D. J. Schlegel, D. P. Finkbeiner, M. Davis, ApJ, 500, 525-+, (1998).
  3. Separation of anomalous and synchrotron emissions using WMAP polarization data, M.-A. Deschênes, N. Ysard, A. Lavabre, N. Ponthieu, J. F. Macías-Pérez, J. Aumont, J. P. Bernard, A&A, 490, 1093-1102, (2008).
  4. The Milky Way in Molecular Clouds: A New Complete CO Survey, T. M. Dame, D. Hartmann, P. Thaddeus, ApJ, 547, 792-813, (2001).
  5. Toward a Halo Mass Function for Precision Cosmology: The Limits of Universality, J. Tinker, A. V. Kravtsov, A. Klypin, K. Abazajian, M. Warren, G. Yepes, S. Gottlöber, D. E. Holz, ApJ, 688, 709-728, (2008).
  6. The universal galaxy cluster pressure profile from a representative sample of nearby systems (REXCESS) and the Y$_{SZ}$ - M$_{500}$ relation, M. Arnaud, G. W. Pratt, R. Piffaretti, H. Böhringer, J. H. Croston, E. Pointecouteau, ApJ, 517, A92, (2010).
  7. Relativistic Corrections to the Sunyaev-Zeldovich Effect for Clusters of Galaxies. II. Inclusion of Peculiar Velocities, S. Nozawa, N. Itoh, Y. Kohyama, ApJ, 508, 17-24, (1998).
  8. Planck early results. XVIII. The power spectrum of cosmic infrared background anisotropies, Planck Collaboration XVIII, A&A, 536, A18, (2011).
  9. A simulation pipeline for the Planck mission, M. Reinecke, K. Dolag, R. Hell, M. Bartelmann, T. A. Enßlin, A&A, 445, 373-373, (2006).
  10. Making cosmic microwave background temperature and polarization maps with MADAM, E. Keihänen, R. Keskitalo, H. Kurki-Suonio, T. Poutanen, A.-S. Sirviö, A&A, 510, A57+, (2010).
  11. Fast Pixel Space Convolution for Cosmic Microwave Background Surveys with Asymmetric Beams and Complex Scan Strategies: FEBeCoP, S. Mitra, G. Rocha, K. M. Górski, K. M. Huffenberger, H. K. Eriksen, M. A. J. Ashdown, C. R. Lawrence, ApJS, 193, 5-+, (2011).
  12. Planck 2013 results: Gravitational lensing by large-scale structure, Planck Collaboration XVII, A&A, in press, (2014).