Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments

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 n...

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Main Authors: Ferreira, P, Jaffe, A
Format: Journal article
Published: 1999
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author Ferreira, P
Jaffe, A
author_facet Ferreira, P
Jaffe, A
author_sort Ferreira, P
collection OXFORD
description 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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spelling oxford-uuid:97b1786e-d310-4229-9a83-cfea31a73f5d2022-03-27T00:01:46ZSimultaneous Estimation of Noise and Signal in Cosmic Microwave Background ExperimentsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:97b1786e-d310-4229-9a83-cfea31a73f5dSymplectic Elements at Oxford1999Ferreira, PJaffe, ATo 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.
spellingShingle Ferreira, P
Jaffe, A
Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments
title Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments
title_full Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments
title_fullStr Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments
title_full_unstemmed Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments
title_short Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments
title_sort simultaneous estimation of noise and signal in cosmic microwave background experiments
work_keys_str_mv AT ferreirap simultaneousestimationofnoiseandsignalincosmicmicrowavebackgroundexperiments
AT jaffea simultaneousestimationofnoiseandsignalincosmicmicrowavebackgroundexperiments