Optical full Hadamard matrix multiplexing and noise effects
Streeter, L., Cree, M. J., Burling-Claridge, G. R. & Künnemeyer, R. (2009). Optical full Hadamard matrix multiplexing and noise effects. Applied Optics, 48(11), 2078-2085.
Permanent Research Commons link: https://hdl.handle.net/10289/2740
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.
Optical Society of America
This paper was published in Applied Optics and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/ao/abstract.cfm?uri=ao-48-11-2078. Systematic or multiple reproduction or distribution to multiple locations via electronic or other mean is prohibited and is subject to penalties under law.