Abstract

By considering the complex zeros of a band-limited function, ambiguities in Fourier magnitude-only reconstructions, beyond those usually discussed, are shown to be significant. The ambiguities arise from the effect of flip-variant zeros outside the data interval, and the results indicate the need for some degree of spectral extrapolation when retrieving the phase of bandpass signals. An example is given to illustrate the nature and significance of the ambiguity.

© 1985 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Nonuniqueness of superresolution techniques applied to sampled data

M. A. Fiddy and T. J. Hall
J. Opt. Soc. Am. 71(11) 1406-1407 (1981)

Phase ambiguities and the zeros of multidimensional band-limited functions

M. S. Scivier and M. A. Fiddy
J. Opt. Soc. Am. A 2(5) 693-697 (1985)

Some new findings on the zeros of band-limited functions

A. J. Noushin, M. A. Fiddy, and J. Graham-Eagle
J. Opt. Soc. Am. A 16(7) 1857-1863 (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 (2)

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

Equations (8)

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

Metrics

You do not have subscription access to this journal. Article level metrics 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