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Optical Engineering

Iterative Procedures For Signal Reconstruction From Fourier Transform Phase
Author(s): Alan V. Oppenheim; Monson H. Hayes; Jae S. Lim
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Paper Abstract

Recently, a set of conditions has been developed under which a sequence is uniquely specified by the phase or samples of the phase of its Fourier transform. These conditions are distinctly different from the minimum or maximum phase requirement and are applicable to both one-dimensional and multi-dimensional sequences. Under the specified conditions, several numerical algorithms have been developed to reconstruct a sequence from its phase. In this paper, we review the recent theoretical results pertaining to the phase-only reconstruction problem, and we discuss in detail two iterative numerical algorithms for performing the reconstrucction.

Paper Details

Date Published: 1 February 1982
PDF: 6 pages
Opt. Eng. 21(1) 211122 doi: 10.1117/12.7972871
Published in: Optical Engineering Volume 21, Issue 1
Show Author Affiliations
Alan V. Oppenheim, Massachusetts Institute of Technology (United States)
Monson H. Hayes, Massachusetts Institute of Technology (United States)
Jae S. Lim, Massachusetts Institute of Technology (United States)

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