Planck 2013 results
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Fig. 15


Constraints on the signal bias after deglitching. The black curve is the power spectrum (k2P0(k), with k taken at the centre of each bin q) of ring data after projecting a pure simulated signal time stream for one detector, containing CMB anisotropies, Galactic dust and point source signal, and using the actual pointing. For the other displayed points we computed the cross-spectrum between: (1) the estimated signal on rings after subtracting long glitch templates from the simulated data and after flagging; and (2) the input signal only averaged on the same rings. Crosses and diamonds correspond to the difference between this cross-spectrum and the pure input signal power spectrum shown in black, for positive and negative points, respectively. The quantity displayed is k2(Pc(k) − P0(k)). We averaged the power spectra of 10 000 rings. Simulations were performed for detector 143-2a which has a high glitch rate. In the absence of bias in the signal due to the deglitching, we expect that the cross-power spectrum is an unbiased estimator of the input signal power spectra, and that the difference should then be compatible with zero. We do not detect significant bias in any of the 100 logarithmically spaced bins, and we place an upper limit of 5 × 10-4 on each bin at the scales relevant for CMB analysis.

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