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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • 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)
http://dx.doi.org/10.1364/JOSAA.16.001857


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Abstract

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

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-7-1857


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References

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  2. M. S. Scivier and M. A. Fiddy, “Phase ambiguities and the zeros of multidimensional band-limited functions,” J. Opt. Soc. Am. A 2, 693–697 (1985).
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  7. R. M. Young, An Introduction to Nonharmonic Fourier Series (Academic, New York, 1980).
  8. A. J. Noushin, “Real functions of compact support with real zeros in the Fourier domain” (University of Massachusetts Lowell, Lowell, Mass., 1999).
  9. M. A. Fiddy, M. J. Huiser, M. Nieto-Vesperinas, and G. Ross, “Encoding of information in inverse optical problems,” Opt. Acta 29, 23–40 (1982).
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