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arxiv: 1302.3921 · v2 · pith:OHXTTTHQnew · submitted 2013-02-16 · 💻 cs.IT · cs.NA· math.IT· math.NA· math.OC

Support detection in super-resolution

classification 💻 cs.IT cs.NAmath.ITmath.NAmath.OC
keywords supportamplitudeconvexcut-offdatadetectionelementsfrequency
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We study the problem of super-resolving a superposition of point sources from noisy low-pass data with a cut-off frequency f. Solving a tractable convex program is shown to locate the elements of the support with high precision as long as they are separated by 2/f and the noise level is small with respect to the amplitude of the signal.

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