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
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0003-6935
2155-3165
1539-4522
DOI:10.1364/AO.48.002078