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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 14 — May. 10, 1998
  • pp: 2953–2963

Signal recovery in sinusoid-crossing sampling by use of the minimum-negativity constraint

Mary Ann Nazario and Caesar Saloma  »View Author Affiliations


Applied Optics, Vol. 37, Issue 14, pp. 2953-2963 (1998)
http://dx.doi.org/10.1364/AO.37.002953


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Abstract

High-frequency components that are lost when a signal s(x) of bandwidth W is low-pass filtered in sinusoid-crossing sampling are recovered by use of the minimum-negativity constraint. The lost high-frequency components are recovered from the information that is available in the Fourier spectrum, which is computed directly from locations of intersections {x i } between s(x) and the reference sinusoid r(x) = Acos(2πf r x), where the index i = 1, 2, … , 2M = 2Tf r , and T is the sampling period. Low-pass filtering occurs when f r < W/2. If |s(x)| ≤ A for all values of x within T, then a crossing exists within each period Δ = 1/2f r . The recovery procedure is investigated for the practical case of when W is not known a priori and s(x) is corrupted by additive Gaussian noise.

© 1998 Optical Society of America

OCIS Codes
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(070.6020) Fourier optics and signal processing : Continuous optical signal processing

History
Original Manuscript: July 7, 1997
Revised Manuscript: November 12, 1997
Published: May 10, 1998

Citation
Mary Ann Nazario and Caesar Saloma, "Signal recovery in sinusoid-crossing sampling by use of the minimum-negativity constraint," Appl. Opt. 37, 2953-2963 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-14-2953

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