Confusion noise and source clustering

Details Confusion noise and source clustering Confusion noise and source clustering

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...396..460b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 396, no. 2, Sept. 10, 1992, p. 460-468. Research supported by DGICYT.

Statistics

Computation

29

Background Radiation, Radio Astronomy, Radio Sources (Astronomy), Computational Astrophysics, Shot Noise

Scientific paper

Attention is given to the influence of source clustering on the distribution of fluctuations in integrated background radiations (the P(D) curve). The general framework for modeling the P(D) curve given the beam profile, the source counts (the log N-log S relation), and the source correlation functions is presented. It is shown that accounting for source clustering in terms of excess variance, i.e., via the convolution of the model P(D) curves with a Gaussian, is generally inappropriate. Simple models with few parameters, namely, a Gaussian clustering model and a shot noise clustering model, are presented. The effects of source clustering in the determination of source counts are illustrated via analysis of confusion noise, simulations with the shot noise clustering model and a top-hat beam are generated and P(D) curves subsequently fitted. The amount by which source counts are overestimated if clustering is not properly accounted for is quantified.

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