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Precise Undersampling Theorems

Published in Proceedings of the IEEE • Jun 1, 2010
NobleIDNI0P89W60R19S21
Authors:
David L. Donoho
,
Jared Tanner

Abstract

Undersampling theorems state that we may gather far fewer samples than the usual sampling theorem while exactly reconstructing the object of interest-provided the object in question obeys a sparsity condition, the samples measure appropriate linear combinations of signal values, and we reconstruct w...

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