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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 11 — Apr. 10, 2009
  • pp: 2078–2085

Optical full Hadamard matrix multiplexing and noise effects

L. Streeter, G. R. Burling-Claridge, M. J. Cree, and R. Künnemeyer  »View Author Affiliations


Applied Optics, Vol. 48, Issue 11, pp. 2078-2085 (2009)
http://dx.doi.org/10.1364/AO.48.002078


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Abstract

Hadamard multiplexing provides a considerable SNR boost over additive random noise but Poisson noise such as photon noise reduces the boost. We develop the theory for full H-matrix Hadamard transform imaging under additive and Poisson noise effects. We show that H-matrix encoding results in no effect on average on the noise level due to Poisson noise sources while preferentially reducing additive noise. We use this result to explain the wavelength-dependent varying SNR boost in a Hadamard hyperspectral imager and argue that such a preferential boost is useful when the main noise source is indeterminant or varying.

© 2009 Optical Society of America

OCIS Codes
(030.4280) Coherence and statistical optics : Noise in imaging systems
(350.6980) Other areas of optics : Transforms
(110.1758) Imaging systems : Computational imaging
(110.4234) Imaging systems : Multispectral and hyperspectral imaging

ToC Category:
Imaging Systems

History
Original Manuscript: November 24, 2008
Revised Manuscript: March 2, 2009
Manuscript Accepted: March 3, 2009
Published: April 2, 2009

Citation
L. Streeter, G. R. Burling-Claridge, M. J. Cree, and R. Künnemeyer, "Optical full Hadamard matrix multiplexing and noise effects," Appl. Opt. 48, 2078-2085 (2009)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-11-2078

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