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

Full Article  |  PDF Article
OSA Recommended Articles
Restoration of signals from their signed Fourier-transform magnitude by the method of generalized projections

Eitan Yudilevich, Aharon Levi, G. J. Habetler, and Henry Stark
J. Opt. Soc. Am. A 4(1) 236-246 (1987)

Signal processing under uncertain conditions by parallel projections onto fuzzy sets

David Lyszyk and Joseph Shamir
J. Opt. Soc. Am. A 16(7) 1602-1611 (1999)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (15)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Tables (6)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (74)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription