A Bayesian Approach To Flux Correction In Extragalactic Source Detection

In this paper we address a very relevant problem in astronomy, the estimation of the intensity of a source, in our case far galaxies in astronomical images, embedded in additive noise and selected by their observed intensity. We use a Bayesian approach that takes into account the distribution in int...

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Bibliographic Details
Published in2006 IEEE International Symposium on Signal Processing and Information Technology pp. 541 - 544
Main Authors Herranz, Diego, Sanz, Jose Luis, Lopez-Caniego, Marcos, Gonzalez-Nuevo, Joaquin
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2006
Subjects
Additive noise
Astronomy
Bayesian methods
Error correction
galaxies: statistics - methods: statistical
Maximum likelihood detection
Maximum likelihood estimation
Noise level
Numerical simulation
Satellites
statistical
Testing
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Summary:In this paper we address a very relevant problem in astronomy, the estimation of the intensity of a source, in our case far galaxies in astronomical images, embedded in additive noise and selected by their observed intensity. We use a Bayesian approach that takes into account the distribution in intensity of the galaxies, that can be well described in parametric way as a power law with an unknown slope. We find a joint maximum likelihood of the slope of the distribution and the fluxes of all the galaxies detected in our images. We test the estimator with numerical simulations using the noise level of the 23 GHz channel of the NASA's WMAP satellite. We find that with our method it is possible to determine the slope of the power law distribution with error lower than 5% and to correct the selection bias in the determination of the flux of the galaxies down to fluxes ~ 500 mJy
ISBN:0780397533
9780780397538
ISSN:2162-7843
DOI:10.1109/ISSPIT.2006.270860