Multi-Dimensional Minimum Weighted Norm Interpolation, Survey ...
Multi-Dimensional Minimum Weighted Norm Interpolation, Survey ...
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 = xH FH Λ˜<br />
†<br />
F˜ x<br />
˜<br />
= xH Q† x<br />
˜<br />
† H<br />
= F˜ Λ˜ † F˜ is a circulant matrix<br />
i) Q<br />
˜<br />
ii) Q† is a band-limiting operator, it annihilates any spectral com-<br />
˜<br />
ponent k ∈ K.<br />
11