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February 21, 2000Monthly Notices of the Royal Astronomical Society74 citationsOpen Access

Decorrelating the power spectrum of galaxies

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Abstract

We show how to decorrelate the (pre-whitened) power spectrum measured from a galaxy survey into a set of high-resolution uncorrelated band-powers. The treatment includes non-linearity, but not redshift distortions. Amongst the infinitely many possible decorrelation matrices, the square root of the Fisher matrix, or a scaled version thereof, offers a particularly good choice, in the sense that the band-power windows are narrow, approximately symmetric, and well-behaved in the presence of noise. We use this method to compute band-power windows for, and the information content of, the Sloan Digital Sky Survey, the Las Campanas Redshift Survey, and the IRAS 1.2-Jy Survey.

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synapsesocial.com/papers/6a7dc5a20631e052c4b877c1https://doi.org/10.1046/j.1365-8711.2000.03074.x
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