Total Variation Minimization in Compressed Sensing

April 07, 2017 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Felix Krahmer, Christian Kruschel, Michael Sandbichler arXiv ID 1704.02105 Category cs.IT: Information Theory Citations 46 Venue arXiv.org Last Checked 6 months ago
Abstract
This chapter gives an overview over recovery guarantees for total variation minimization in compressed sensing for different measurement scenarios. In addition to summarizing the results in the area, we illustrate why an approach that is common for synthesis sparse signals fails and different techniques are necessary. Lastly, we discuss a generalizations of recent results for Gaussian measurements to the subgaussian case.
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