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This corresponds to using the filter ( bCfidb⊤ +N )−1 WX , where W is diagonal in pixel space and N is taken to be isotropic

Isotropic filtering of weighted maps Instead of applying isotropic filtering to apodized masked maps, one can also apply it to a more generally weighted map, for example to try to down-weight regions with higher noise · 2000

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Optimal filtering for CMB lensing reconstruction

astro-ph.CO · 2019-09-05 · accept · novelty 6.0

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.

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  • Optimal filtering for CMB lensing reconstruction astro-ph.CO · 2019-09-05 · accept · none · ref 3

    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.