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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 33, Iss. 23 — Aug. 10, 1994
  • pp: 5415–5425

Signal reconstruction from noisy-phase and -magnitude data

Alexander M. Taratorin and Samuel Sideman  »View Author Affiliations


Applied Optics, Vol. 33, Issue 23, pp. 5415-5425 (1994)
http://dx.doi.org/10.1364/AO.33.005415


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Abstract

Signal reconstruction based on knowing either the magnitude or the phase of the Fourier transform of the signal is important in numerous applications, and the problem of signal reconstruction from noisy-phase and noisy-magnitude data is addressed. The proposed procedure relates to the deviations of the available magnitude and phase estimates from their exact values in the reconstruction algorithm by use of spectral prototype constraint sets. The properties of these new constraint sets for the magnitude and the phase of the Fourier transform are analyzed, and the corresponding projection operators are constructed. Simulation results indicate improvement of the performance of reconstructions from noisy-phase and -magnitude values based on these sets.

© 1994 Optical Society of America

History
Original Manuscript: November 9, 1992
Revised Manuscript: October 25, 1993
Published: August 10, 1994

Citation
Alexander M. Taratorin and Samuel Sideman, "Signal reconstruction from noisy-phase and -magnitude data," Appl. Opt. 33, 5415-5425 (1994)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-33-23-5415


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