  The Planck mission, designed for making measurements of the cosmic microwave
background (CMB) radiation with unprecedented accuracy and angular resolution,
is expected to release its first data set in the near future. For the first
time in the CMB history, extensive measurements of the CMB polarization will be
made available for the entire sky. Such precise and rich data are expected to
contain a great wealth of information about the Universe. The information in
the CMB data is conveniently represented in terms of angular power spectra for
temperature and polarization. A proper estimation of these CMB power spectra
from data is the first step in making inferences about the Universe and, in
particular, cosmological parameters that govern the Universe. In this paper, we
provide forecasts for the $TT$, $EE$, and $TE$ angular power spectra for the
Planck mission. Our forecasts are made using synthetic data based on the
best-fit $\Lambda$CDM model while conforming to the characteristics and
parameters of the Planck mission. We have analysed such synthetic data sets
using a nonparametric function estimation formalism that is otherwise
asymptotically model-independent. Indeed, the power spectra estimated from such
synthetic data turn out to be sufficiently close to the corresponding
$\Lambda$CDM spectra. Our analysis further indicates that the three angular
power spectra are determined sufficiently well for $2 \le l \lesssim l_{max}$,
where $l_{max} = 2500 {($TT$),} 1377 {($EE$), and} 1727 {($TE$)}$ respectively.
A signature of reionization is evident in the $EE$ and $TE$ power spectra in
the form of a bump at low $l$s ...
