Hadamard transform X-ray telescope

Details Hadamard transform X-ray telescope Hadamard transform X-ray telescope

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ssi.....3..473m&link_type=abstract

Space Science Instrumentation, vol. 3, Dec. 1977, p. 473-481.

Mathematics

10

Signal To Noise Ratios, Transformations (Mathematics), X Ray Imagery, X Ray Telescopes, Cosmic Rays, Masking, Matrices (Mathematics), X Ray Sources

Scientific paper

A Hadamard transform X-ray telescope is a type of Dicke's random hole X-ray camera for observing the X-ray sky. Instead of making a random hole pattern mask, a cyclic Hadamard matrix or PN sequence is used to make the mask pattern of this telescope. With this mask and a position sensitive X-ray detector, Hadamard transformed image data of the X-ray sky may be obtained, and the X-ray sky image from the observed data may be easily reconstructed. The Hadamard matrix can be used to make one dimensional X-ray telescopes as well as two dimensional telescopes. When spurious counts of the detector are predominant over image counts and diffuse background counts, the signal-to-noise ratio advantage of this telescope is the square root of N over 2 compared to the slat-type X-ray telescope of the same angular resolution, where N is the number of position-sensitive detector cells and N + 1 is the order of the cyclic Hadamard matrix employed to make this mask.

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