An exact result concerning the $1/f$ noise contribution to the large-angle error in CMB temperature and polarization maps

• DOI: 10.48550/arxiv.1602.08274
• Publication Date: 2016-01-01
• Authors: Martin Bucher
• Keywords: Cosmology and Nongalactic Astrophysics (astro-ph.CO); 0103 physical sciences; FOS: Physical sciences; Astrophysics - Instrumentation and Methods for Astrophysics; 01 natural sciences; Instrumentation and Methods for Astrophysics (astro-ph.IM); Astrophysics - Cosmology and Nongalactic Astrophysics

We present an exact expression for the $1/f$ contribution to noise of CMB temperature and polarization maps a survey in which scan pattern is isotropic. The result applies likewise surveys with without rotating half-wave plate. A representative range parameters explored implications design optimization future are discussed. These results most directly applicable space-based surveys, afford considerable freedom choice on celestial sphere. discuss applicability methods developed here analyzing past experiments some conclusions pertinent experiments. techniques do not require that excess low frequency have exactly shape readily generalize other functional forms detector power spectrum. In case weakly anisotropic scanning patterns this paper can be used find preconditioner solving map making equation efficiently using conjugate gradient method.