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Fig. 5


Power spectrum accuracy. Left panel: for one particular realization, we plot the difference between the power spectrum of a map convolved with a narrow Gaussian, FWHM = 6′ and the power spectrum of the exact convolution. Right panel: we show the power spectrum of the difference map, computed from the convolution of a map using ARKCoS and the exact solution. For comparison, we also show the expected power spectrum of the exact convolution in both panels (dashed lines). Note that since we are comparing to the exact convolved power spectrum this error measure includes the HEALPix quadrature error.

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