Abstract

The mathematical problem of unique recovery of a band-limited multidimensional signal from its phase or its magnitude is considered. Specifically, we show that any irreducible band-limited function f(s1, …, sn), si C, i = 1, …, n is uniquely determined, except for trivial associates, from (1) the phase of f(x1, …, xn), xi∈ ℛ, i = 1, …, n, if not all the zeros of f(s1, …, sn) occur in conjugate pairs; or (2) the magnitude of f(x1, …, xn), xi∈ ℛ, i = …, n.

© 1983 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Stability of unique Fourier-transform phase reconstruction

Jorge L. C. Sanz, Thomas S. Huang, and Fernando Cukierman
J. Opt. Soc. Am. 73(11) 1442-1445 (1983)

Frequency sampling of the short-time Fourier-transform magnitude for signal reconstruction

T. F. Quatieri, S. H. Nawab, and J. S. Lim
J. Opt. Soc. Am. 73(11) 1523-1526 (1983)

Uniqueness results for the phase-retrieval problem for radial functions

Wayne Lawton
J. Opt. Soc. Am. 71(12) 1519-1522 (1981)

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

Tables (1)

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 (15)

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