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Simultaneous Estimation of Noise and Signal in Cosmic Microwave Background Experiments
Astrophysics · Submitted 15 Sep 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | To correctly analyse data sets from current microwave detection technology, one is forced to estimate the sky signal and experimental noise simultaneously. | background 1.00 | 0.12 | 0.10 | asserted 1.00 |
| s1 | 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. | contribution 0.96 | 0.91 | 0.26 | asserted 0.96 |
| s2 | 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. | method 0.93 | 0.95 | 0.21 | asserted 1.00 |
| s3 | We study the convergence and accuracy of the method on two mock observational strategies and discuss its application to a currently-favoured calibration procedure. | contribution 0.91 | 0.95 | 0.12 | asserted 0.95 |
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Original abstract
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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