Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments

Details Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments

1999-09-15

arxiv.org/abs/astro-ph/9909250v1

Astronomy and Astrophysics

Astrophysics

19 Pages, 5 figures. To be published in MNRAS

Scientific paper

10.1046/j.1365-8711.2000.03108.x

To correctly analyse data sets from current microwave detection technology, one is forced to estimate the sky signal and experimental noise simultaneously. Given a time-ordered data set we propose a formalism and method for estimating the signal and associated errors without prior knowledge of the noise power spectrum. We derive the method using a Bayesian formalism and relate it to the standard methods; in particular we show how this leads to a change in the estimate of the noise covariance matrix of the sky signal. We study the convergence and accuracy of the method on two mock observational strategies and discuss its application to a currently-favoured calibration procedure.

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