Optical full Hadamard matrix multiplexing and noise effects

Optical full Hadamard matrix multiplexing and noise effects

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 effec...

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Veröffentlicht in:Applied Optics 2009-04, Vol.48 (11), p.2078-2085
Hauptverfasser: Streeter, L, Burling-Claridge, G R, Cree, M J, Künnemeyer, R
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container_end_page 2085
container_issue 11
container_start_page 2078
container_title Applied Optics
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creator Streeter, L
Burling-Claridge, G R
Cree, M J
Künnemeyer, R
description 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.
doi_str_mv 10.1364/AO.48.002078
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title Optical full Hadamard matrix multiplexing and noise effects
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