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.

© 2011 Optical Society of America

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References

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  1. L. Streeter, G. R. Burling-Claridge, M. J. Cree, and R. Künnemeyer, “Optical full hadamard matrix multiplexing and noise effects,” Appl. Opt. 48, 2078–2085 (2009).
    [CrossRef] [PubMed]
  2. L. A. Goodman, “On the exact variance of products,” J. Am. Stat. Assoc. 55, 708–713 (1960).
    [CrossRef]
  3. Mathworks, Massachusetts, USA.

2009 (1)

1960 (1)

L. A. Goodman, “On the exact variance of products,” J. Am. Stat. Assoc. 55, 708–713 (1960).
[CrossRef]

Appl. Opt. (1)

J. Am. Stat. Assoc. (1)

L. A. Goodman, “On the exact variance of products,” J. Am. Stat. Assoc. 55, 708–713 (1960).
[CrossRef]

Other (1)

Mathworks, Massachusetts, USA.

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Equations (6)

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a = a + a = H p .
( σ + ) 2 = δ j N r p ,
( σ ) 2 = ( 1 δ j ) N r p ,
σ j 2 = ( σ j + ) 2 + ( σ j ) 2 = N r p .
σ a 2 = σ a + 2 + σ a 2 ,
( r N 2 p 2 4 + r σ H + p 2 ) + ( r N 2 p 2 4 + r σ H p 2 ) , = r N 2 p 2 2 + r ( σ H + p 2 + σ H p 2 ) .

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