Mathematics – Probability
Scientific paper
May 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...427..438z&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 427, no. 1, p. 438-445
Mathematics
Probability
6
Data Processing, Mathematical Models, Signal To Noise Ratios, Sky Surveys (Astronomy), Statistical Analysis, X Ray Astronomy, X Ray Stars, Emission Spectra, Heao 2, Histograms, Probability Distribution Functions
Scientific paper
Conventional methods of signal detection are based on the comparison of a local signal-to-noise ratio S/N to some threshold value. We present a new method that compares instead the histogram of the data with the one expected for background noise alone. Signals are detected from discrepancies between the two. We expect it to be applicable in the detection of signals from any data whose background statistics is known. To illustrate the method, we apply it to the case of photon-limited imaging data where the underlying background is Poissonian. Numerical simulations are used to check the efficiency of our method, finding that for signals with low S/N (less than 5), it detects signals with a higher degree of reliability than the conventional method.
Cordes James M.
Wasserman Ira
Zepka A. F.
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