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 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.
Department of Engineering, University of Waikato, Gate 1, Knighton Road, Private Bag 3105, Hamilton 3240, New Zealand. lee.streeter@agresearch.co.nz
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L
Streeter
G R
GR
Burling-Claridge
M J
MJ
Cree
R
R
Künnemeyer