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The Planck mission, designed for making measurements of the cosmic microwavebackground (CMB) radiation with unprecedented accuracy and angular resolution,is expected to release its first data set in the near future. For the firsttime in the CMB history, extensive measurements of the CMB polarization will bemade available for the entire sky. Such precise and rich data are expected tocontain a great wealth of information about the Universe. The information inthe CMB data is conveniently represented in terms of angular power spectra fortemperature and polarization. A proper estimation of these CMB power spectrafrom data is the first step in making inferences about the Universe and, inparticular, cosmological parameters that govern the Universe. In this paper, weprovide forecasts for the $TT$, $EE$, and $TE$ angular power spectra for thePlanck mission. Our forecasts are made using synthetic data based on thebest-fit $\Lambda$CDM model while conforming to the characteristics andparameters of the Planck mission. We have analysed such synthetic data setsusing a nonparametric function estimation formalism that is otherwiseasymptotically model-independent. Indeed, the power spectra estimated from suchsynthetic data turn out to be sufficiently close to the corresponding$\Lambda$CDM spectra. Our analysis further indicates that the three angularpower 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 inthe form of a bump at low $l$s ...

Nonparametric Forecasts of the CMB Angular Power Spectra for the Planck Mission