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Applied Optics

Applied Optics


  • Vol. 37, Iss. 5 — Feb. 10, 1998
  • pp: 856–864

Mismatched filtering of periodic and odd-periodic binary arrays

Hans Dieter Lüke and Axel Busboom  »View Author Affiliations

Applied Optics, Vol. 37, Issue 5, pp. 856-864 (1998)

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Arrays with good correlation properties are required for coded-aperture imaging, as well as for other applications of two-dimensional signal processing. Since binary arrays with perfect periodic autocorrelation functions exist for only a few sizes, mismatched filtering is discussed. Mismatched filtering entirely suppresses any sidelobes of the periodic autocorrelation function at the expense of a slightly reduced signal-to-noise ratio. New construction methods for binary arrays are presented for which this loss, with respect to periodic or odd-periodic correlation, converges to zero with an increasing array size.

© 1998 Optical Society of America

OCIS Codes
(170.1630) Medical optics and biotechnology : Coded aperture imaging
(340.7430) X-ray optics : X-ray coded apertures

Original Manuscript: April 22, 1997
Revised Manuscript: September 29, 1997
Published: February 10, 1998

Hans Dieter Lüke and Axel Busboom, "Mismatched filtering of periodic and odd-periodic binary arrays," Appl. Opt. 37, 856-864 (1998)

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