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