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Signal restoration from phase by projections onto convex sets

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Abstract

We apply the method of alternating projections onto convex sets to the problem of restoring a signal from the phase of its Fourier transform. A method of improving convergence by adaptively varying a set of relaxation parameters in the restoration algorithm is described. The advantages of using the method of convex projections over other iterative restoration algorithms are discussed and illustrated.

© 1983 Optical Society of America

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