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

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Corrections

L. Streeter, M. J. Cree, and G. R. Burling-Claridge, "Optical full Hadamard matrix multiplexing and noise effects: errata," Appl. Opt. 50, 6092-6093 (2011)
https://www.osapublishing.org/ao/abstract.cfm?uri=ao-50-32-6092

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