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Fast decoding algorithm for uniformly redundant arrays

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Abstract

Coded mask aperture imaging techniques are now used in various fields, in particular in x-ray and gamma-ray astronomy. With such systems it is possible to construct apertures which have autocorrelation functions with perfectly flat sidelobes. For quadratic residue arrays (uniformly redundant arrays—URAs), we have developed fast deconvolution algorithms based on conventional decoding methods but taking advantage of the mathematical properties of the decoding matrices. Balanced decoding, delta decoding, and finely sampled decoding are discussed.

© 1987 Optical Society of America

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