A method for extracting maximum resolution power spectra from microwave sky maps | Zendy

Max Tegmark | Zendy

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A method for extracting maximum resolution power spectra from microwave sky maps

Author(s) -

Max Tegmark

Publication year - 1996

Publication title -

monthly notices of the royal astronomical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.058

H-Index - 383

eISSN - 1365-8711

pISSN - 0035-8711

DOI - 10.1093/mnras/280.1.299

Subject(s) - physics , galaxy , astrophysics , sky , spectral line , spectral density , cosmic microwave background , resolution (logic) , spectral resolution , microwave , spherical harmonics , planck , noise (video) , harmonics , optics , astronomy , anisotropy , mathematics , statistics , artificial intelligence , quantum mechanics , voltage , computer science , image (mathematics)

A method for extracting maximal resolution power spectra from microwave sky maps is presented and applied to the 2 year COBE data. By using orthogonal basis functions that fall off smoothly near the galactic cut, it is found that the spectral resolution \Delta l can be more than doubled at l=15 and more than tripled at l=20 compared to simply using spherical harmonics. The reason that the improvement is so large is basically that functions with a sharp edge exhibit considerable ``ringing" in the Fourier domain, whereas smooth functions do not. The method reveals interesting C_l features in the 2 year COBE data that were unresolved in previous power spectrum estimations

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