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\begin{document}

\begin{titlepage}
\vspace{1cm}
\rule{110 mm}{0.5 mm}\makebox[50 mm]{\bf Planck HFI L2}
\vspace{2cm}
\begin{center}
\par \renewcommand{\baselinestretch}{2.0} \small 
{\LARGE \bf 
Planck HFI L2 \\ 
WBS - PBS
}
\par \renewcommand{\baselinestretch}{1.0} \normalsize
\vspace{5 cm}
\begin{tabular}{ll}
{R. Ansari} & {\tt ansari@lal.in2p3.fr} \\
{C. Mercier} & {\tt Claude.Mercier@ias.fr} \\
{J.F. Sygnet} & {\tt Jean-Francois.Sygnet@ias.fr} \\
% {É. Aubourg} & {\tt aubourg@hep.saclay.cea.fr} \\
% {É. Lesquoy} & {\tt lesquoy@hep.saclay.cea.fr} \\
% {C. Magneville} & {\tt cmv@hep.saclay.cea.fr} \\
\end{tabular}

\end{center}
\vfill
\hfill 
% \includegraphics[width=4cm]{Fig/hfi_icon_vsmall.eps}
\framebox[\textwidth]{\hspace{0.5cm} \bf Planck HFI Level 2 
\hspace{1cm} \today }
\end{titlepage}

\tableofcontents

\newpage
% \tableofcontents

\section*{HFI L2 processing software packages}
This document contains a preliminary version a the 
Work Breakdown Structure (WBS), Package Breakdown Structure 
(PBS) for Planck-HFI Level 2 data processing.

The different packages are listed here. It should be noted that
all packages should be compliant with the general software 
architecture and use the services of the corresponding 
support modules (\gph{428}). \\

\begin{itemize}
\item[]\gph{421}  RTA/QLA : Real Time Assesment, Quick Look Analysis.
\item[]\gph{422}  TOI processing
\item[]\gph{423}  Polarised TOI processing
\item[]\gph{424}  Simple 2-D map reconstruction from TOI's
\item[]\gph{425}  Global 2-D map reconstruction
\item[]\gph{426}  Global 2-D polarised map reconstruction
\item[]\gph{427}  Early Compact Source Catalogue
\item[]\gph{428}  General software architecture and support modules
\item[]\gph{429}  Integration and Validation
\end{itemize}

Other related packages:
\begin{itemize}
\item[]\gph{320} Hardware, network and related software procurement
and management
\item[]\gph{140} Project management.
\end{itemize}

The table below shows a very preliminary cost estimate in
FTE-MY (Full Time Equivalent Man Year) for each package. \\
\begin{center}
\begin{tabular}[h]{|c|c||c|c|}
\hline
\makebox[2.5cm][c]{Package} &  \makebox[2.5cm][c]{Cost} &  
\makebox[2.5cm][c]{Package} &  \makebox[2.5cm][c]{Cost} \\
\hline
%               &           &           &       \\
\ngph{421}     &   5     &     \ngph{426}     &   ?     \\
%
\ngph{422}     &   15    &     \ngph{427}     &   5     \\
%
\ngph{423}     &   15    &     \ngph{428}     &   30    \\
%
\ngph{424}     &   20    &     \ngph{429}     &   10    \\
%
\ngph{425}     &   ?     &                    &         \\
%               &           &           &       \\
%
\hline 
\ngph{320}     &   5     & \ngph{140}     &   5     \\
\hline \hline
\multicolumn{2}{c}{\bf Total}          &   \multicolumn{2}{c}{\bf 110 + ?} \\
\hline 
\end{tabular}
% \caption{Preliminary cost estimate}
\end{center}


\newpage

\section{GPH421: RTA/QLA Real Time Assesment, Quick Look Analysis}

\section{GPH422: TOI  processing}

This package contains all the processing which has to be 
perfomed on TOI's (Time Ordered Information ) either single detector, or
multpile detector, single frequency set of TOI's.

\begin{itemize}

\item[]\gph{422.1}  TOI statistical characterisation 
\begin{itemize}
\item Raw time-line statistical checks
\item Noise statistic determination
\item Low frequency drifts
\end{itemize}

\item[]\gph{422.2}  TOI filters
\begin{itemize}
\item Time domain filtering
\item Fourier filtering
\end{itemize}

\item[]\gph{422.3}  Deglitching and source detection
\begin{itemize}
\item TOI deglitchers
\item Point source detector
\item Galaxy crossing detector
\item CMB dipole finder 
\end{itemize}

\item[]\gph{422.4}  Astrometric calibration \\
Astrometric calibration using point sources and galaxy crossing.

\item[]\gph{422.5}  Photometric calibration \\
Photometric calibration, using extended sources (Galaxy)

\item[]\gph{422.6}  Single pointing co-added rings \\
 
\item[]\gph{422.9}  Deliverables: Cleaned, calibrated TOI's : 
\begin{itemize} 
\item $(\alpha, \delta)$, roll angle, calibrated signal  
\item Noise statistics
\item Offset/drifts
\item Co-added rings
\end{itemize}

\end{itemize}

\section{GPH423: Polarised TOI processing}

\gph{423.1} I.Q,U reconstruction from detector signals 
in polarized channels

\section{GPH424: Simple 2-D map reconstruction}

This package contains all the necessary modules for 
single frequency 2-D map reconstruction using the cleaned
TOI's from \gph{422} and \gph{423}. However \gph{424}
should only implement simple versions of 2-D map making 
and systematic removal algorithms, as opposed to 
\gph{424} which must provide a global, optimal 2-D map 
reconstruction with systematic effects assessment.
\begin{itemize} 

\item[]\gph{424.1} 1D $\rightarrow$ 2D Projector
\item[]\gph{424.2} Systematic effects estimation, subtraction 
\begin{itemize}
\item Low frequency noise estimation
\item far side lobe subtraction
\item far side determination using moon/earth during transfer, 
commissioning phases.
\end{itemize}

\item[]\gph{424.3} Main lobe 
\begin{itemize}
\item Point source detection
\item Main lobe reconstruction
\end{itemize}


\item[]\gph{424.4} Astrometric calibration
\item[]\gph{424.5} Photometric calibration
\item[]\gph{424.6} Postage stamp maps for compact sources

\item[]\gph{424.9} Deliverables: Full sky maps \\
\begin{itemize}
\item Sky maps per frequency channels $map_\nu (\alpha, \delta) $
\item Reprocessed TOI's 
\end{itemize} 

\end{itemize} 

\section{GPH425: Global 2-D map reconstruction}

Implementation of an optimal 2-D full sky map reconstruction,
with systematics (low frequency drifts, side lobes, \ldots)
estimation and removal. This package definition and 
breakdown structure can only be refined at a later stage,
after preliminary studies of applicable methods.

\begin{itemize}

\item[]\gph{425.9} Deliverables: Full sky maps \\
\begin{itemize}
\item Sky maps per frequency channels $map_\nu (\alpha, \delta) $
\item Reprocessed, cleanead TOI's
\item Lobe par detector and per frequency channel
\item Systematics estimation 
\end{itemize} 

\end{itemize} 

\section{GPH426: Global polarised 2-D map reconstruction}

This module, a extended version of \gph{425} has to take 
into account specific constraints related to polarised TOI's
and sky map recosntruction

\begin{itemize}

\item[]\gph{426.9} Deliverables: Full sky maps for each 
polarisation component (I,Q,U) \\
\begin{itemize}
\item Sky maps per frequency channels $map_\nu (\alpha, \delta) $
for each component (I,Q,U)
\item Reprocessed, cleanead TOI's for I,Q,U
\item Noise and systematic effect maps and characteristics 
\end{itemize} 

\end{itemize} 


\section{GPH427: Early Compact Source Catalogue} 

\begin{itemize}

\item[]\gph{427.9} Deliverables: Source catalogue \\
\begin{itemize}
\item Astrometrically calibrated source positions and 
photometrically calibrated flux in each frequency band \\
$$(\alpha, \delta)_i , F_i^\nu, i=1,..,N$$
\item The corresponding local sky maps in each 
frequency bands.
\item Related software and documentation
\end{itemize} 

\end{itemize} 

\section{GPH428: General software architecture and support modules}

This package defines the general architecture for the level 2 processing
software and insures the compliance with IDIS framework.
It provides also the support modules for the different 
level 2 packages (\gph{42x}) and their interfaces with IDIS 
components.

\begin{itemize}

\item[]\gph{428.1} General architecture

\item[]\gph{428.2} TOI manipulation module

\item[]\gph{428.3} Maps manipulation module (Full and local sky maps)

\item[]\gph{428.4} Instrument and satellite representation 
\begin{itemize}
\item Focal plane geometry
\item Detector's frequency response
\item Main and secondary Lobes 
\item Orbit and attitude
\item Thermal model
\end{itemize} 

\item[]\gph{428.5} Standard numerical analysis tools
\begin{itemize}
\item Arrays (Matrix, Vectors, \ldots) and linear algebra
\item Fourier analysis, Wavelet analysis
\item Minimisation, optimisation
\item Statistical analysis
\end{itemize} 

\item[]\gph{428.6} Interface with DMC

\item[]\gph{428.7} Interface with the process coordinator

\end{itemize} 

\section{GPH429: Integration and Validation}

The assembly of the different L2 processing modules and
integration in the pipeline, as well as the 
assessment of the overall quality of the delivered 
data products is the responsibility of \gph{429}

\begin{itemize}
 
\item[]\gph{429.9} Deliverables: Full sky maps for each 
polarisation component (I,Q,U) \\
\begin{itemize}
\item Sky maps per frequency channels $map_\nu (\alpha, \delta) $
for each component (I,Q,U)
\item Reprocessed, cleanead TOI's for I,Q,U
\item Noise and systematic effect maps and characteristics 
\item Photometric and Astrometric calibration
\item Associated software and documentation
\end{itemize} 

\end{itemize} 

\end{document}