Planck 2013 results
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Fig. 5

image

Planck 70, 100, and 143 GHz CMB anisotropy power spectra computed for the GAL060 mask. Mask- and beam-deconvolved cross-spectra of the half-ring maps show the signal; auto-correlation spectra of the half-ring difference maps show the noise. Points show single multipoles up to = 1200 for 70 GHz and = 1700 for 100 and 143 GHz. Heavy solid lines show Δ = 20 boxcar averages. The S/N near the first peak ( = 220) is approximately 80, 1900, and 6000 for 70, 100, and 143 GHz, respectively. Noise power is calculated according to the large- approximation, i.e., as a distribution with mean C and rms C [ fsky(2 + 1)/2 ] − 1/2. Pairs of thin lines mark ± 3σ bands of noise power around the noise spectra. We translate this statistical spread of noise power Cs into the signal spectra estimated via half-ring map cross-spectra. Under the simplifying assumption that each C of the noise in the cross-spectrum at high- is distributed as a sum of (2 + 1) products of independent Gaussian deviates, each with variance derived from the half-ring difference maps, the Gaussianized high- noise in the cross-spectra has zero mean and rms of . Pairs of thin lines mark ± 1σ bands of noise around the boxcar-averaged cross-spectra.

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