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Multi-Dimensional Minimum Weighted Norm Interpolation, Survey ...

Multi-Dimensional Minimum Weighted Norm Interpolation, Survey ...

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Band-limited interpolation<br />

Reconstruction of noisy data - PCG<br />

Weights can be estimated in an iterative manner using the Mod-<br />

ified Peridogram<br />

|P k| 2 =<br />

Ll=−L w l|X k−l| 2 , k ∈ K<br />

0 , k ∈ K<br />

or, adopt a non-iterative strategy (Herrmann et al., 2000).<br />

i) The weights |Pk| 2 required to interpolate spatial data at a tem-<br />

poral frequency f can be estimated from the already interpolated<br />

data at frequency f − ∆f.<br />

ii) Helps to reduce alias (mild alias!)<br />

17

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