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localvar: zero mean Gaussian white noise with an intensity dependent variance.
(3) localvar: zero mean Gaussian white noise with an intensity dependent variance (4) speckle: speckle or Multiplicative noise.
POD is then implemented to extract, from the sequence of subspaces, a projection basis that describes the state dependent variance of the Krylov subspaces.
with ν(E i,Δ t j ) a bias term and with σ2(E i,Δ t j ) an irradiance and exposure time dependent variance (also see Figure 4).
Note that other print and scan models that take into account the gamma transfer function or additive noise with input dependent variance can be found in [19], but the general methodology of this paper is not dependent on the model and can still be applied.
The probability distribution of the noise e is assumed to be conditionally normal with signal dependent variance: f(e|Λb)∼N 0,γ2Λb).
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Closed form expressions for the time-dependent variance and covariance of response of structures are presented.
A more practical CRLB based on the distance-dependent variance model for range estimation noise was proposed in [14].
The numerically computed time-dependent variance curves of the displacement and internal force responses at different stations of a substructural chain are given as an example.
The signal-dependent variance distribution in the AB1700 data is a non-trivial function of signal intensity, describable using a composite function.
Application of the method is made for the determination of the time-dependent variance of the response of a quarter-scale physical model of a class of mast antenna structures.
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