Coded masks in X- and gamma-ray astronomy - The problem of the signal-to-noise ratio evaluation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gamma Ray Astronomy, Image Reconstruction, Photomasks, Signal To Noise Ratios, Telescopes, X Ray Astronomy, Apertures, Data Correlation, Point Spread Functions

Scientific paper

Coded-mask telescopes which are considered as one of the best solutions for producing images of the sky in hard X-ray and gamma-ray astronomy, because of their optimum signal-to-noise (SNR) ratio, are discussed. It is shown that for a given field of the sky, the mask-pattern design and the decoding technique used, influence the values of the SNR in the individual pixels of the reconstructed image. In different conditions of background and source fluxes, the expressions for the SNR of different replicated masks are derived for the inversion and correlation methods. It is shown that for the inversion method, the SNR is inversely proportional to the square root of the trace of the matrix associated with the mask, whereas for the correlation method, the SNR is limited by an additional systematic term which is due to the cross-talk between sources in the field of view and whose effect is avoided by choosing a uniformly redundant array pattern.

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