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Robust and Consistent Sampling | IEEE Journals & Magazine | IEEE Xplore

Robust and Consistent Sampling


Abstract:

We address a sampling problem in which the goal is to approximate a signal from its nonideal (generalized) samples. The reconstruction is constrained to lie in a subspace...Show More

Abstract:

We address a sampling problem in which the goal is to approximate a signal from its nonideal (generalized) samples. The reconstruction is constrained to lie in a subspace, and to be consistent with the measured samples. It is well known how to obtain a consistent approximation, if the sampling and reconstruction spaces satisfy a certain direct sum condition. Here we show when consistency can be achieved without the need for this condition. The proposed solution provides geometrical insight into the structure of the problem and extends previous treatments by finding a consistent and simultaneously robust approximation of the signal from its samples.
Published in: IEEE Signal Processing Letters ( Volume: 16, Issue: 9, September 2009)
Page(s): 739 - 742
Date of Publication: 26 May 2009

ISSN Information:


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