A comment on image detection and the definition of limiting magnitude

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Photometry, Charge Coupled Devices, Image Transducers, Signal To Noise Ratios, Stellar Luminosity, Apertures, Background Noise, Brightness, Computerized Simulation, Imaging Techniques

Scientific paper

A useful operating definition for limiting magnitude in CCD photometry is the level at which the completeness of detection drops to 50 percent. If the detection threshold is defined as Q times the standard deviation of the sky noise, then it can be shown that the Q value needed to reach a given limiting magnitude, or signal-to-noise ratio (SNR), varies inversely with the scale of the detector. In addition, the highest achievable threshold Q (lim) for any image scale is numerically equal to the SNR of the stars just at the 50 percent completeness limit.

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