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MAJ du WBS L2 , R. Ansari 31/8/2000

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1\documentclass[twoside,11pt]{article}
2
3% Definition pour Documentation L2
4\usepackage{defdocl2}
5
6% Package standard : Utilisation de caracteres accentues, mode francais et graphique
7% \usepackage[latin1]{inputenc}
8% \usepackage[T1]{fontenc}
9% \usepackage{babel}[english]
10% \usepackage{graphicx}
11% package a mettre pour faire du pdf
12% \usepackage{palatino}
13
14
15% Extension de symboles mathematiques
16% \usepackage{amssymb}
17\usepackage{amsmath}
18
19
20% Definition de taille de page (c'est ds defdocl2.sty)
21\newcommand{\bul}{$\bullet \ $}
22\newcommand{\gph}[1]{ {\bf GPH#1} }
23\newcommand{\ngph}[1]{ GPH#1 }
24
25% Symboles en bold
26\newcommand{\bnu}{ {\boldsymbol{\nu}} }
27\newcommand{\bbold}{\boldsymbol{b} }
28\newcommand{\dbold}{\boldsymbol{d}}
29
30\begin{document}
31
32\begin{titlepage}
33\titleph{
34Planck HFI L2 \\
35Work Breakdown Structure \\
36Package Breakdown Structure
37}
38% Authors list
39\authors{
40R. Ansari & LAL, Orsay \\ % & {\tt ansari@lal.in2p3.fr} \\
41I.J. Grivell & ICSTM, London \\
42G. Le Meur & LAL, Orsay \\
43R.G. Mann & IfA, Edinburgh \\
44M. Rowan-Robinson & ICSTM, London \\
45S. Serjeant & ICSTM \\
46J.F. Sygnet & IAS, Orsay \\ % {\tt Jean-Francois.Sygnet@ias.fr} \\
47}
48
49\titlepfd{PL-HFI-LAL-PW-L2003}{1.2}
50
51\end{titlepage}
52
53% -------- Revision history
54\revisionhistory
55\begin{itemize}
56\item Version 1.0 (February 2000 - CVS version 1.1) \\
57Draft version presented at the HFI consortium meeting
58\item Version 1.1 (April 2000 - CVS version 1.2) \\
59Draft updated using the document prepared at ISCTM and IfA (Edinburgh)
60\item Version 1.2 (August 2000 - CVS version 1.7) \\
61Inclusion of a section describing notation and conventions,
62flow charts. A more detailed description of deliverables is also included.
63\end{itemize}
64
65% -------- Table of content
66\newpage
67\tableofcontents
68\newpage
69
70\section{Introduction}
71This document contains a preliminary version a the
72Work Breakdown Structure (WBS), Package Breakdown Structure
73(PBS) for Planck-HFI Level 2 data processing.
74
75The Level 2 activity of the HFI Data Processing Centre (DPC)
76is divided between the Paris-Orsay-Saclay Data Analysis Centre
77(POSDAC) and the London Planck Analysis Centre (LPAC).
78POSDAC will run the Level 2 data processing pipeline and have overall
79responsibility for the collaborative work involved in its
80design and implementation. LPAC will a play major role for in the
81activities that iterate and overlap between Level 2
82and Level 3 (for which the Cambridge Planck Analysis Centre,
83CPAC, plays the role analogous to POSDAC at Level 2).
84IPAC (at Caltech) and Canada (?) are the two other major
85laboratories involved in the development of HFI level 2
86software.
87
88\section{HFI L2 processing software packages}
89The Level 2 workpackages are listed below, with a numbering
90scheme derived from that in the
91{\it HFI Science Implementation Plan (SIP: draft of 19/11/99) }.
92All packages should be compliant with the general software architecture and use the services of the corresponding support modules (\gph{428}).
93
94\begin{itemize}
95\item[]\gph{421} RTA/QLA : Real Time Assesment, Quick Look Analysis.
96\item[]\gph{422} TOI processing
97\item[]\gph{423} Polarised TOI processing
98\item[]\gph{424} 2-D map reconstruction from TOI's
99\item[]\gph{425} 2-D polarisation map reconstruction from TOI's
100\item[]\gph{426} Optimal 2-D map reconstruction and analysis
101\item[]\gph{427} Early Compact Source Catalogue
102\item[]\gph{428} General software architecture and support modules
103\item[]\gph{429} Integration and Validation
104\end{itemize}
105
106The package \gph{424} should provide a reasonably fast and simple
107method for reconstructing 2-D maps from cleaned TOI's (output of
108\gph{422} and \gph{423}), removing systematic effects (destriping)
109and deconvolving the antenna beam pattern. An iterative method
110is foreseen, capable of dealing with partial knowledge of
111instrument caracteristics. \gph{425} would contain the
112complementary functionalities needed for reconstructing
113polarisation maps, using data from polarised channels.
114The optimal 2-D map reconstruction and analysis package (\gph{426})
115will implement the best feasible method for analysing the whole
116data set from the HFI instrument and building the full sky frequency
117maps.
118
119\par
120In addition to the specific Level 2 workpackages, the following items
121are also related to the L2 data processing:
122
123\begin{itemize}
124\item[]\gph{320} infrastructure procurement and maintenance (POSDAC)
125\item[]\gph{360} infrastructure procurement and maintenance (LPAC)
126\item[]\gph{140} Project management (POSDAC)
127\item[]\gph{180} Project management (LPAC)
128\end{itemize}
129
130The table below shows a very preliminary cost estimate in
131FTE-MY (Full Time Equivalent Man Years) for each package. \\
132
133\begin{table}
134\begin{center}
135\begin{tabular}[h]{|c|c||c|c|}
136\hline
137\makebox[2.5cm][c]{Package} & \makebox[2.5cm][c]{Cost} &
138\makebox[2.5cm][c]{Package} & \makebox[2.5cm][c]{Cost} \\
139\hline
140% & & & \\
141\ngph{421} & 5 & \ngph{426} & ? \\
142%
143\ngph{422} & 15 & \ngph{427} & 10 \\
144%
145\ngph{423} & 5 & \ngph{428} & 30 \\
146%
147\ngph{424} & 20 & \ngph{429} & 10 \\
148%
149\ngph{425} & 10 & & \\
150% & & & \\
151%
152\hline
153\ngph{320} & 3 & \ngph{140} & 4 \\
154\ngph{360} & 2 & \ngph{180} & 1 \\
155\hline \hline
156\multicolumn{2}{c}{\bf Total} & \multicolumn{2}{c}{\bf 115 + ?} \\
157\hline
158\end{tabular}
159\end{center}
160\caption{Preliminary estimate of staff effort
161(in Full Time Equivalent Man-Years FTE-MY)}
162\end{table}
163
164\newpage
165
166\section{HFI data sets and processing steps}
167The major steps for processing Planck-HFI data are briefly described here.
168For the sake of clarity, we define here the notation and conventions used
169throughout this document for referring to the different data components
170in planck HFI. Most of these data components are also defined in
171\cite{datamodel}.
172
173\subsection{Notation and conventions}
174\begin{itemize}
175\item[] {\bf Coordinates:} The spacecraft attitude is defined by the spin
176axis $\overrightarrow{\Omega}$ direction $(\theta, \phi)$ and the
177roll angle $\psi$. The beam direction and orientation can be computed from
178the spacecraft attitude ($\overrightarrow{\Omega}, \psi$) using
179the focal plane geometry.
180The spin velocity is denoted $\omega_z$ or $\omega_{\psi}$. \\
181A given sky direction is denoted $(\alpha,\delta)$ in equatorial coordinates,
182$(l,b)$ in Galactic coordinates or $(\lambda,\beta)$ in ecliptic coordinate.
183
184\item[] {\bf Detector:} A given HFI bolometer read-out channel. The corresponding
185signal is denoted $\dbold(t)$ or $\bbold(t)$ $\dbold^j(t)$ or $\bbold^j(t)$
186where $j$ is the bolometer number.
187
188\item[] {\bf Frequency channel:} The set of detectors working in the
189same frequency range. This information is only obtained by combining
190information from several detectors in the corresponding frequency band.
191The subscript $\bnu$ is used to denote a frequency channel.
192
193\item[] {\bf Scan:} The time interval corresponding to a given nominal
194spin axis direction
195
196\item[] {\bf Sky map:} The reconstructed signal in a given pixelisation
197scheme from a single or a set of detectors. The sky map in a given
198frequency channel is denoted $\boldsymbol{T}^{\bnu}(\theta,\phi)$.
199$\boldsymbol{I}^{\bnu}$,$\boldsymbol{Q}^{\bnu}$,$\boldsymbol{U}^{\bnu}$ are used
200for stokes parameters defining the polarisation state.
201\end{itemize}
202
203
204\subsection{Processing steps}
205
206The level 2 uses input data from three different sources:
207\begin{itemize}
208\item {\bf DS1:} Instrument and spacecraft data obtained
209from level 1.
210\item {\bf DSCal:} HFI calibration data base:
211\begin{itemize}
212\item Spacecraft and focal plane geometry
213\item beam patterns
214\item filters and polariser frequency response
215\item detector and readout electronic characteristics.
216\end{itemize}
217\item {\bf DSExt:} Prior knowlegde of microwave and infrared
218sky and sources:
219\begin{itemize}
220\item Known microwave and infrared source catalogue
221\item Partial sky maps in different HFI frequency bands
222(low resolution and/or incomplete sky coverage)
223\end{itemize}
224\end{itemize}
225
226The main processing steps for HFI-L2 are
227briefly described here:
228
229\begin{itemize}
230\item {\bf L1:} Unpacking the telemetry packets,
231uncompressing the science data, time ordering the data and
232archiving the data in a format usable
233by the L2 pipeline is the responsability of Level 1. Detailed
234description of L1 software and processing steps is beyond the scope
235of this document. {\bf DS0} denotes the complete data set used
236as input by level 1. {\bf DS0} contains the instrument
237science and House-keeping (HSK) data telemetry packets, as well
238as the auxiliary data (orbit and attitude).
239{\bf DS1} is the processed data from level 1 containing the TOI's
240(Time Ordered Information).
241\begin{center}
242\framebox{
243$ \boldmath{L1} : \text{DS0} \longrightarrow \text{DS1} $
244}
245\end{center}
246{\bf DS1} data set contains three main components, with different
247sampling frequency for each component
248\begin{itemize}
249\item Raw Time Ordered bolometer signals : $\bbold_{raw}^j(t_1)$
250\item Time Ordered House-keeping data : $HSK(t_2)$
251\item Associated orbit and attitude data : Space craft
252position $ \boldmath{P}_{xyz}(t_3) $, spin axis direction and
253spin velocity
254$\overrightarrow{\Omega}(t_3) \equiv (\theta, \phi, \omega_z)(t_3)$
255and the roll angle $\psi(t_3)$.
256\end{itemize}
257
258\item {\bf L2-2 , L2-3 :} Cleaning and calibrating the TOI's for
259non polarised (L2-2) and polarised (L2-3) channels.
260These processings correspond to \gph{422} and \gph{423}
261packages.
262\begin{center}
263\framebox{
264$ \boldmath{L2-2} : \text{DS1} \oplus \text{DSCal} \oplus \text{DSExt}
265\longrightarrow \text{DS2-2} $
266\makebox[3cm]{(non polarised)} } \\[2 mm]
267\framebox{
268$ \boldmath{L2-3} : \text{DS1} \oplus \text{DSCal} \oplus \text{DSExt}
269\longrightarrow \text{DS2-3} $
270\makebox[3cm]{(polarised)} }
271\end{center}
272In addition to cleaned and calibrated bolometer signals
273{\bf DS2-2} and {\bf DS2-3} contain data quality flag,
274the parameters necessary to compute the reconstructed spacecraft
275orbit and attitude for each time sample, as well as each
276detector beam pattern direction and orientation.
277\begin{itemize}
278\item Cleaned and calibrated Time Ordered bolometer signals : $\bbold_{c}^j(t_1)$
279\item Data quality flag : $\boldsymbol{qf}_{c}^j(t_1)$
280\item Reconstructed astrometric calibration parameters \\
281The pointing direction and beam orientation
282$(\alpha , \delta)^j(t_1) , \gamma^j(t_1)$
283for each detector at any given time can be computed using these parameters.
284\item Detector response and photometric calibration parameters
285\item Low frequency drifts and noise statistics
286\item Reconstructed lobe
287\item Phase-binned or co-added rings
288\item Time Ordered House-keeping data : $HSK(t_2)$
289\item Orbit and attitude data :
290$\{ \boldmath{P}_{xyz}(t_3) , \overrightarrow{\Omega}(t_3) , \psi(t_3) \} $
291\end{itemize}
292
293\item {\bf L2-4 , L2-5 :} Reconstructing 2-D sky maps using
294cleaned, calibrated TOI's. The redundancies provided by
295the scan strategy the sky and the set of detectors in
296a given frequency channel are used in these steps for assessing
297and removing the systematic and instrumental effects (low frequency drifts,
298noise, main lobe and far side lobe effects, \ldots).
299An iterative, sub-optimal processing method is foreseen for
300L2-4 and L2-5 (\gph{424} and \gph{425}).
301\begin{center}
302\framebox{
303$ \boldmath{L2-2} : \text{DS2-2} \oplus \text{DSCal} \oplus \text{DSExt}
304\longrightarrow \text{DS2-4} \makebox[3cm]{(non polarised)} $
305} \\[2mm]
306\framebox{
307$ \boldmath{L2-5} : \text{DS2-3} \oplus \text{DSCal} \oplus \text{DSExt}
308\longrightarrow \text{DS2-5} \makebox[3cm]{(polarised)} $
309}
310\end{center}
311Reprocessed TOI's and full sky temperature and polarisation state
312maps are the main outputs of {\bf L2-4} and {\bf L2-5}:
313\begin{itemize}
314\item Reprocessed, calibrated Time Ordered bolometer signals :
315$\bbold_{rc}^j(t_1)$
316\item Full sky maps , temperature and polarisation maps (\gph{425})
317$\boldsymbol{I}^\bnu (\alpha,\delta)$, $\boldsymbol{Q}^\bnu (\alpha,\delta)$,
318$\boldsymbol{U}^\bnu (\alpha,\delta)$.
319\end{itemize}
320
321\item {\bf L2-6} More complex methods for 2-D map reconstruction and
322data analysis are performed at the next step ({\bf L2-6} , \gph{426})
323\begin{center}
324\framebox{
325$ \boldmath{L2-6} : \text{DS2-2} \oplus \text{DS2-3} \oplus \text{DSCal}
326\oplus \text{DSExt} \longrightarrow \text{DS2-6} $
327}
328\end{center}
329
330\item {\bf L2-7} The Early Compact Source Catalogue (ECSC) is an
331important data product from HFI Level 2 processing.
332\begin{center}
333\framebox{
334$ \boldmath{L2-7} : \text{DS2-2} \oplus \text{DS2-3} \oplus \text{DSCal}
335\oplus \text{DSExt} \longrightarrow \text{DS2-7} $ \makebox[2cm]{(ECSC)}
336}
337\end{center}
338
339The {\bf DS2-2} and {\bf DS2-3} are used to produce the source catalogue
340containing the source positions, brightness and local
341sky maps in each frequency bands {\bf DS2-7} :
342\begin{itemize}
343\item Source catalogue: $\{ (\alpha,\delta)_i , F_i^{\bnu 1} ,
344F_i^{\bnu 2} , \ldots \}$
345\item local sky maps: $\{ lm_i(x,y)^{\bnu 1}, lm_i(x,y)^{\bnu 2}, \ldots \}$
346\end{itemize}
347
348\end{itemize}
349
350\newpage
351
352\section{GPH421: RTA/QLA Real Time Assesment, Quick Look Analysis}
353\begin{itemize}
354\item[]\gph{421.1} Quick look analysis
355\item[]\gph{421.2} Evaluation of instrument health
356\item[]\gph{421.3} Exchange of information with LFI
357of mission/spacecraft/payload-dependent effects common
358to both instruments
359\end{itemize}
360
361
362\section{GPH422: TOI processing}
363
364This package contains all the processing which has to be
365perfomed on TOI's (Time Ordered Information ) for either a
366single-detector or multpile-detector, single-frequency set
367of TOI's. A very rough sketch of data flow and processing
368steps for GPH422 is given in figure \ref{fig422}.
369
370\begin{figure}[h]
371\mbox{\hspace*{1cm} \includegraphics[width=7cm]{gph422_1.eps}
372 \includegraphics[width=7cm]{gph422_2.eps} }
373\caption{Data flow and processing steps for GPH422}
374\label{fig422}
375\end{figure}
376
377\begin{itemize}
378
379\item[]\gph{422.1} TOI statistical characterisation
380\begin{itemize}
381\item[]422.1.1 Raw time-line statistical checks
382\item[]422.1.2 Evaluation of noise components in TOI \\
383(including use of redundancy to produce independent coadds)
384\item[]422.1.3 Low frequency drifts
385\item[]422.1.4 Correlation of TOI with housekeeping data and various
386coordinate systems to look for systematic trends
387\item[]422.1.5 correlation of TOI between channels to identify
388cross-talk
389\end{itemize}
390
391\item[]\gph{422.2} TOI filters
392\begin{itemize}
393\item[]422.2.1 Time domain filtering
394\item[]422.2.2 Fourier filtering
395\end{itemize}
396
397\item[]\gph{422.3} Deglitching and source extraction
398\begin{itemize}
399\item[]422.3.1 production of deglitched TOI, flagged to indicate cosmic
400ray hits etc.
401\item[]422.3.2 Point source detectors
402\item[]422.3.3 Galaxy crossing detector
403\item[]422.3.4 CMB dipole finder
404\end{itemize}
405
406\item[]\gph{422.4} Astrometric calibration
407\begin{itemize}
408\item[]422.4.1 Reconstruction of beam direction and orientaion
409for each detector using auxiliary spacecraft data
410\item[]422.4.2 Astrometric calibration using galaxy crossing in TOI
411\item[]422.4.3 Astrometric calibration using known point sources,
412and bright sources from the ECSC.
413\end{itemize}
414
415\item[]\gph{422.5} Photometric calibration
416\begin{itemize}
417\item[]422.5.1 extended-source photometric calibration using known
418sources (Galaxy) and COBE/FIRAS data
419\item[]422.5.2 point-source photometric calibration using known sources
420\item[]422.5.3 reconstruction of beam pattern seen by each detector
421from observations of bright
422\end{itemize}
423
424\item[]\gph{422.6} reconstruction of beam pattern seen by each
425detector from observations of bright point sources \gph{422.3.2}
426and galaxy crossing \gph{422.3.3}
427
428\item[]\gph{422.7} Production of single pointing size reduced TOI's
429through coadding or phase binning (co-added or phase-binned rings)
430
431\item[]\gph{422.9} Deliverables: {\bf DS2-2} Cleaned, calibrated TOI's :
432\begin{itemize}
433\item Cleaned and calibrated Time Ordered bolometer signals : $\bbold_{c}^j(t_1)$
434\item Data quality flag : $\boldsymbol{qf}_{c}^j(t_1)$
435\item Reconstructed astrometric calibration parameters \\
436The pointing direction and beam orientation
437$(\alpha , \delta)^j(t_1) , \gamma^j(t_1)$
438for each detector at any given time can be computed using these parameters.
439\item Detector response and photometric calibration parameters
440\item Low frequency drifts and noise statistics
441\item Reconstructed lobe
442\item Phase-binned or co-added rings
443\item Time Ordered House-keeping data : $HSK(t_2)$
444\item Orbit and attitude data :
445$\{ \boldmath{P}_{xyz}(t_3) , \overrightarrow{\Omega}(t_3) , \psi(t_3) \} $
446\end{itemize}
447
448\end{itemize}
449
450\section{GPH423: Polarised TOI processing}
451
452\gph{423.1} Additional TOI processing or adapted versions of \gph{422}
453package modules, as required to reconstruct Stokes I,Q,U parameters
454from detector signals in polarised channels.
455\begin{itemize}
456\item[]\gph{423.4} Astrometric calibration
457\item[]\gph{423.5} Photometric calibration
458\item[]\gph{422.6} Reconstruction of beam pattern seen by each detector
459\item[]\gph{423.7} Production of single pointing size reduced TOI's
460through coadding or phase binning (co-added or phase-binned rings)
461\item[]\gph{422.9} Deliverables: {\bf DS2-3} Cleaned, calibrated TOI's :
462Reconstructed stokes parameters $\boldsymbol{I}(t_1)$ ,
463$\boldsymbol{Q}(t_1)$ , $\boldsymbol{U}(t_1)$ in addition to the
464already listed {\bf DS2-2} data components.
465\end{itemize}
466
467\section{GPH424: 2-D map reconstruction}
468
469This package contains all the necessary modules for
470single frequency 2-D map reconstruction using the cleaned
471TOI's from \gph{422} and \gph{423}. It is not intended to implement
472the optimal 2-D map reconstruction and data analysis method
473in this package, which is the task of \gph{426}.
474An iterative processing method is foreseen for estimating
475and removing the different systematic effects (low frequency
476drift, noise, main lobe effect and contamination due to side
477lobes, using redundancies from the scan strategy and the detectors
478in a given frequency channel, as well as prior knowledge of microwave
479and infrared sky.
480A very simplified representaion of data flow and processing
481steps for GPH424 is given in figure \ref{fig424}.
482\begin{figure}[h]
483\mbox{\hspace*{2cm} \includegraphics[height=11cm]{gph424_1.eps} }
484\caption{Data flow and processing steps for GPH424}
485\label{fig424}
486\end{figure}
487
488
489\begin{itemize}
490
491\item[]\gph{424.1} Estimation and subtraction of low frequency drifts
492\begin{itemize}
493\item[] 424.1.1 Estimation of low frequency drifts using sky scan
494redundancies (crossings)
495\item[] 424.1.2 Estimation of low frequency drifts using different
496detectors in a frequency channel
497\item[] 424.1.3 Low frequency drift estimation and removal using
498prior knowledge of microwave and infrared sky (CMB dipole, galaxy, \ldots)
499\item[] 424.1.4 Iterative low frequency drift estimation and removal
500using reconstructed sky maps
501\end{itemize}
502
503\item[]\gph{424.2} Side lobe effects
504\begin{itemize}
505\item[] 424.2.1 side determination using moon/earth during
506commissioning phases
507\item[] 424.2.2 Iterative side determination using reconstructed
508sky maps
509\item[] 424.2.3 Side lobe effect subtraction
510\end{itemize}
511
512\item[]\gph{424.3} Main lobe
513\begin{itemize}
514\item[]424.3.1 reconstruction of beam pattern from maps using
515known point and bright ECSC sources.
516\item[]424.3.2 supplementing source extraction from TOI with
517use of sources selected from frequency maps
518\end{itemize}
519
520\item[]\gph{424.4} 2-D map reconstruction
521\begin{itemize}
522\item[]424.4.1 Local (postage stamp) maps reconstruction
523\item[]424.4.2 Ring shaped sky strips map reconstruction, using
524a set of cleaned TOI's from neighbour scans
525\item[]424.4.3 Full sky map reconstruction by combining the
526ring shaped sky maps from GPH424.4.2
527\end{itemize}
528
529\item[]\gph{424.5} Astrometric and geometric calibration
530\begin{itemize}
531\item[] 424.5.1 Refinement of astrometric calibration using known and
532bright ECSC sources.
533\item[] 424.5.2 Reconstruction of focal plane geometry and
534comparison with calibration data base
535\item[] 424.5.3 Reconstruction of spacecraft attitude and comparison
536with corresponding data from {\bf DS1} and {\bf DS2-2}.
537\end{itemize}
538
539\item[]\gph{424.6} Photometric calibration
540
541\item[]\gph{424.7} Estimation of systematic effect and noise
542characteristics on reconstructed maps. One way to achieve this is the
543reconstruction of frequency maps using subsets of detectors in a
544frequency channel.
545
546\item[]\gph{424.9} Deliverables: {\bf DS2-4} Full sky frequency channel
547maps and reprocessed TOI's
548\begin{itemize}
549\item Full sky maps per frequency channels:
550$\boldsymbol{I}^\bnu (\alpha,\delta)$
551\item Beam patterns per detector and per frequency channel
552\item Noise covariance matrix
553\item Reprocessed, calibrated Time Ordered bolometer signals :
554$\bbold_{rc}^j(t_1)$
555\end{itemize}
556
557\end{itemize}
558
559\section{GPH425: 2-D polarisation map reconstruction}
560The modified version of \gph424 software modules, suitable
561for processing polarised TOI's for producing polarisation
562sky maps are grouped in this package.
563The reconstructed sky maps from \gph{424} can be used
564to assess systematic effects in polarised channel TOI's
565by combining signal from multiple detectors.
566
567\begin{itemize}
568\item[]\gph{425.1} Estimation and subtraction of low frequency drifts
569\item[]\gph{425.2} Side lobe effects
570\item[]\gph{425.3} Main lobe
571\item[]\gph{425.6} Photometric calibration
572\item[]\gph{425.8} Reconstruction of stokes (I,Q,U) parameter along the scan
573\item[]\gph{425.9} Deliverables: {\bf DS2-5} Full sky polarisation maps
574and reprocessed TOI's
575\begin{itemize}
576\item Sky maps per frequency channels: \\
577$\boldsymbol{I}^\bnu (\alpha,\delta), \boldsymbol{Q}^\bnu (\alpha,\delta),
578\boldsymbol{U}^\bnu (\alpha,\delta)$
579\item Beam patterns per detector and per frequency channel
580\item Noise covariance matrix
581\item Reprocessed, calibrated Time Ordered bolometer signals :
582$\bbold_{rc}^j(t_1)$
583\end{itemize}
584
585\end{itemize}
586
587\section{GPH426: Optimal 2-D map reconstruction and analysis}
588
589Implementation of an optimal 2-D full sky map reconstruction,
590with systematics (low frequency drifts, side lobes, \ldots)
591estimation and removal. This package definition and
592breakdown structure can only be refined at a later stage,
593after preliminary studies of applicable methods.
594One such promising method consist of
595computing the $a_l^m$ coefficients of the
596spherical harmonic decomposition of the signal, using
597the Fourier coefficients of 1-D rings reconstructed from
598cleaned TOI's. The estimation and removal of low frequency
599drifts and lobe effects can be incorporated in the
600processing.
601
602\begin{itemize}
603\item[]\gph{426.1} Optimal 2-D map reconstruction and analysis
604for non polarised channels
605\item[]\gph{426.2} Optimal 2-D map reconstruction and analysis
606for polarised channels
607
608\item[]\gph{426.9} Deliverables: {\bf DS2-6} Full sky intensity
609and polarisation maps
610\begin{itemize}
611\item Full sky maps for each frequency channels
612\\ $\boldsymbol{I}^\bnu (\alpha,\delta), \boldsymbol{Q}^\bnu (\alpha,\delta),
613\boldsymbol{U}^\bnu (\alpha,\delta)$
614\item Noise and systematic effect maps and characteristics
615\item Reprocessed, cleanead TOI's for I,Q,U
616\end{itemize}
617
618\end{itemize}
619
620
621\section{GPH427: Early Compact Source Catalogue}
622
623\begin{itemize}
624\item[]\gph{427.1} Source extraction, using the data from \gph{422}
625 and \gph{423}
626\item[]\gph{427.2} Astrometric calibration
627\item[]\gph{427.3} Photometric calibration
628\item[]\gph{427.4} Production of local frequency maps
629\item[]\gph{427.9} Deliverables: {\bf DS2-7} Early Compact Source Catalogue
630(ECSC)
631\begin{itemize}
632\item Astrometrically calibrated source positions and
633photometrically calibrated flux in each frequency band: \\
634$\{ (\alpha,\delta)_i , F_i^{\bnu 1} ,
635F_i^{\bnu 2} , \ldots \}$
636\item Local sky maps in each frequency bands for areas
637around all source positions: \\
638$\{ lm_i(x,y)^{\bnu 1}, lm_i(x,y)^{\bnu 2}, \ldots \}$
639\item Related software and documentation
640\end{itemize}
641
642\end{itemize}
643
644\section{GPH428: General software architecture and support modules}
645
646This package defines the general architecture for the level 2 processing
647software and insures the compliance with IDIS framework.
648It provides also the support modules for the different
649level 2 packages (\gph{42x}) and their interfaces with IDIS
650components.
651
652\begin{itemize}
653
654\item[]\gph{428.1} Definition and construction of the software architecture
655
656\item[]\gph{428.2} Development and maintenance of TOI manipulation module
657(including diagnostics and display)
658
659\item[]\gph{428.3} Development and maintenance of maps manipulation module
660(including diagnostics and display of both full and local sky maps)
661
662\item[]\gph{428.4} Instrument and satellite representation
663\begin{itemize}
664\item[]428.4.1 Focal plane geometry
665\item[]428.4.2 Detector's frequency response
666\item[]428.4.3 Main and secondary lobes
667\item[]428.4.4 Sampling and noise characteristics
668\item[]428.4.5 Orbit and attitude
669\item[]428.4.6 Thermal model
670\end{itemize}
671
672\item[]\gph{428.5} Development/supply and maintenence
673of standard numerical analysis tools
674\begin{itemize}
675\item[]428.5.1 Arrays (Matrix, Vectors, \ldots) and linear algebra
676\item[]428.5.2 Fourier analysis, Wavelet analysis
677\item[]428.5.3 Minimisation, optimisation
678\item[]428.5.4 Statistical analysis
679\end{itemize}
680
681\item[]\gph{428.6} Interface with DMC
682
683\item[]\gph{428.7} Interface with the process coordinator
684
685\end{itemize}
686
687\section{GPH429: Integration and Validation}
688
689The assembly of the different L2 processing modules and
690integration in the pipeline, as well as the
691assessment of the overall quality of the delivered
692data products is the responsibility of \gph{429}.
693The data quality validation activity includes iterative
694work using Level 2 and 3 data products, and comparison of
695HFI and LFI data for the common 100 GHz channel:
696for example, activity in this workpackage may influence the details
697of how the Global polarised 2D map reconstruction of \gph{426}
698is performed, leading to the changes in the deliverables
699from that workpackage.
700\begin{itemize}
701\item[]\gph{429.1} Pipeline management
702\begin{itemize}
703\item[]429.1.1 management and construction of pipeline
704modules and their interfaces
705\item[]429.1.2 IDIS and DMC interface
706\item[]429.1.2 Management of pipeline operations
707\end{itemize}
708\item[]\gph{429.2} Iterative study of systematic effects
709(e.g. map striping, etc) involving both level 2 and level 3 products
710\item[]\gph{429.3} Combination, comparison and validation
711of source catalogues derived from Levels 2 and 3 source extraction
712\item[]\gph{429.4} Comparison of TOI data and maps between
713HFI and LFI for common 100GHz channel
714\item[]\gph{429.9} Deliverables: ({\bf DS2}) The complete set of deliverables
715from each L2 package: \\
716{\bf DS2} = {\bf DS2-2} $\oplus$ {\bf DS2-3} $\oplus$ {\bf DS2-4}
717$\oplus$ {\bf DS2-5} $\oplus$ {\bf DS2-6}
718
719\begin{itemize}
720\item Sky maps per frequency channels for each component (I,Q,U) : \\
721$\boldsymbol{I}^\bnu (\alpha,\delta), \boldsymbol{Q}^\bnu (\alpha,\delta),
722\boldsymbol{U}^\bnu (\alpha,\delta)$
723\item Reprocessed, cleanead TOI's for I,Q,U
724\item Noise and systematic effect maps and characteristics
725\item Photometric and Astrometric calibration
726\item Beam patterns for each detector and for each frequency channel
727\item Associated software and documentation
728\end{itemize}
729
730\end{itemize}
731
732\begin{thebibliography}{10}
733\bibitem{datamodel}
734\newblock {\bf PL-COM-OAT-TN-003}
735\newblock {Planck IDIS Data Model Description Document}
736\end{thebibliography}
737
738
739\end{document}
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