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Applied Optics

Applied 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)

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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 {xi} between s(x) and the reference sinusoid r(x) = A cos(2πfrx), where the index i = 1, 2, …, 2M = 2Tfr, and T is the sampling period. Low-pass filtering occurs when fr < W/2. If ‖s(x)‖ ≤ A for all values of x within T, then acrossing exists within each period Δ = 1/2fr. 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

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)

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