Optimal anisotropic CMB filtering plus a second-stage filter on the reconstructed lensing convergence map reduces lensing power spectrum variance by factor 2-5 relative to isotropic filtering, with up to 30% additional improvement on large scales.
The noise can include variance due to foreground residuals, and a mask can be accounted for simply by taking the elements ofN−1 to be zero in the corresponding pixels
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Optimal filtering for CMB lensing reconstruction
Optimal anisotropic CMB filtering plus a second-stage filter on the reconstructed lensing convergence map reduces lensing power spectrum variance by factor 2-5 relative to isotropic filtering, with up to 30% additional improvement on large scales.