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

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Band-limited <strong>Interpolation</strong><br />

<strong>Minimum</strong> <strong>Norm</strong> Reconstruction<br />

||x|| 2 W<br />

= <br />

k∈K<br />

X ∗ k X k<br />

|P k| 2<br />

i) |P k| 2 are spectral domain weights with support and<br />

shape similar to the spectrum of the signal to interpolate<br />

ii) K indicates the region of spectral support of the<br />

signal<br />

iii) |P k| = 0 for k ∈ K<br />

9

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