Technical Report CS-2010-03

Title: Sampling and Noise in Compressive Sensing
Authors: Yehuda Pfeffer and Michael Zibulevsky
Abstract: We examine the effect of noise in the acquisition process of compressive sampling on the reconstruction error, assuming correct identification of the active coefficients of the sparse signal. We show that while accepted random sampling matrices may have small restricted isometry constants, they differ greatly in the reconstruction error due to noise in the acquisition process. We focus on noises that are typical to photonic sensing.
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