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noise questions #22

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lbaumo opened this issue Aug 21, 2023 · 2 comments
Open

noise questions #22

lbaumo opened this issue Aug 21, 2023 · 2 comments

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@lbaumo
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lbaumo commented Aug 21, 2023

  1. The noise for simulations seems large.
  2. are we following the correct procedure by adding noise to the simulation then dividing by the noise? should we divide by a noise map of gaussian noise with a given standard deviation, like we do for the data, or should we just divide by the standard deviation, as appears in virginia's paper
  3. There is a difference of 1/sqrt(2) in the noise in Emma's paper and virginia's paper. (see Eq 3 vs Eq 8) Why?
@lbaumo
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lbaumo commented Aug 21, 2023

for the third point- the factor of 2 in emma's paper is consistent with Eq 8 in the SLICS paper. Changing it to virginia's convention does not correct our sqrt(2) problem, it makes things worse (confirmed by @AndreasTersenov)

@martinkilbinger
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  1. Sounds like the correct procedure.
    I guess dividing by the std is the simplest option. Probably more accurate is to divide by a noise map, to capture local variations in galaxy density. If I understand this point correctly.
  2. The dispersion <sigma_eps^2> is also different, in our case it is for the complex shear (two components), sigma_eps = 0.44. Since kappa is a scalar (one component) we divide by 2. Virginia's <sigma_eps> is for one component, 0.3.
    So 0.44 ** 2 / 2 is very close to 0.3 ** 2.

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