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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 7 — Jul. 1, 1999
  • pp: 1857–1863

Some new findings on the zeros of band-limited functions

A. J. Noushin, M. A. Fiddy, and J. Graham-Eagle  »View Author Affiliations

JOSA A, Vol. 16, Issue 7, pp. 1857-1863 (1999)

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We investigate relationships between the structure of a real object of compact support and the realness of the zeros of its Fourier transform. We introduce a necessary condition, and some sufficient conditions are presented for one-dimensional functions. A very useful property of the sinc function is also presented.

© 1999 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval

Original Manuscript: November 13, 1998
Revised Manuscript: February 23, 1999
Manuscript Accepted: February 23, 1999
Published: July 1, 1999

A. J. Noushin, M. A. Fiddy, and J. Graham-Eagle, "Some new findings on the zeros of band-limited functions," J. Opt. Soc. Am. A 16, 1857-1863 (1999)

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