2011
DOI: 10.1364/ao.50.006092
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Optical full Hadamard matrix multiplexing and noise effects: errata

Abstract: The model for Poisson random noise under Hadamard multiplexing is revised. The new model accounts for the variation of the Hadamard multiplexed measurements, as well as the previously considered variation due to Poisson fluctuations. A numerical simulation matches the model prediction within uncertainty.

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“…As Hadamard patterns contain +1 s and − 1 s and DMDs are limited to values from 0 to 255, two complimentary patterns, one reflecting +1 s and it's inverse are measured and subtracted from each other to reflect the measurement as acquired by the original pattern. Using a Hadamard H‐matrix and subtracting the measurement of the respective negative component from the positive component measurement, is considered to help reduce the additive noise, photon and random noise in the overall measurement as stated in [27]. For a classical single‐pixel configuration (intensity based only), the emissions of the sample go through the structured DMD, and then are received by a single detector, like a photomultiplier tube (PMT) or a single‐photon avalanche diodes detector, which records the intensity for that specific DMD pattern.…”
Section: Sp‐mafli System Configurationmentioning
confidence: 99%
“…As Hadamard patterns contain +1 s and − 1 s and DMDs are limited to values from 0 to 255, two complimentary patterns, one reflecting +1 s and it's inverse are measured and subtracted from each other to reflect the measurement as acquired by the original pattern. Using a Hadamard H‐matrix and subtracting the measurement of the respective negative component from the positive component measurement, is considered to help reduce the additive noise, photon and random noise in the overall measurement as stated in [27]. For a classical single‐pixel configuration (intensity based only), the emissions of the sample go through the structured DMD, and then are received by a single detector, like a photomultiplier tube (PMT) or a single‐photon avalanche diodes detector, which records the intensity for that specific DMD pattern.…”
Section: Sp‐mafli System Configurationmentioning
confidence: 99%