Designing optimal sampling schemes for multi-dimensional data

In this work, we propose a method for determining an optimal, non-uniform, sampling scheme for multi-dimensional signals by solving a convex optimization problem reminiscent of the sensor selection problem. The optimal sampling scheme is determined given a suitable estimation bound on the parameters...

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Bibliographic Details
Main Authors: Sward, Johan, Elvander, Filip, Jakobsson, Andreas
Format: Conference Proceeding
Language:English
Subjects:
Convex functions
Damping
Electronic mail
Nuclear magnetic resonance
Probability density function
Signal to noise ratio
Online Access:Request full text
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Summary:In this work, we propose a method for determining an optimal, non-uniform, sampling scheme for multi-dimensional signals by solving a convex optimization problem reminiscent of the sensor selection problem. The optimal sampling scheme is determined given a suitable estimation bound on the parameters of interest, as well as incorporating any imprecise a priori knowledge of the locations of the parameters. Numerical examples illustrate the efficiency of the proposed scheme.
ISSN:2576-2303
DOI:10.1109/ACSSC.2017.8335468