Removing 1/f noise stripes in cosmic microwave background anisotropy observations

Removal of systematic eects is crucial in present and future CMB experiments mapping large fraction of the sky. Accurate CMB measurements ask for multi-feed array instruments observing the sky with a redundant scanning strategy covering the same sky region on dierent time scales and with dierent detectors for a better control of systematic eects. We investigate the capability to suppress 1=f noise features in Time Ordered Data (TOD) by using the destriping technique described in Maino et al. (1999), under realistic assumptions for crossing condition between dierent scan circles and sky signal fluctuations on small angular scales. We perform, as aw orking case,Planck-LFI simulated observations with few arcminutes pixel size convolved with LFI beam resolutions. In the noiseless case for crossing condition based on pixels with side larger than the input one, the destriping algorithm inserts extra-noise in the nal map of the order of Ki n rms and fewK in peak-to-peak amplitude at 30 GHz. However including instrumental noise (white and 1=f noise) in the TOD, the impact of the sky signal on the destriping is found to be very small. In addition, for crossing condition based on pixels with side half of the one of the nal map (typically1/3 of the FWHM), we nd only a small improvement (1% level) in the destriping quality with respect to the case when crossings are searched on pixels with same size of the nal map one. We can conclude that the receiver noise is the driver for destriping quality. We extend the analysis to high values of the knee frequency and nd that, although signicantly suppressed by destriping, the residual additional noise rms is31% larger than the pure white noise rms at fk = 1 Hz which could be a critical issue in the extraction of CMB angular power spectrum. We veried that the approximation of the 1=f noise on averaged scan circles as a single baseline still works well even for these high values of the knee frequency. Furthermore, by comparing simulations with dierent noise levels and dierent sampling rates, we nd that the destriping quality does not signicantly depend on the receiver sensitivity whereas it improves proportionally to the improvement of sampling rate. Therefore given a noise level, the higher the sampling rate, the better the destriping quality. This paper is based upon Planck-LFI activities.