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A new and improved quantitative recovery analysis for iterative hard thresholding algorithms in compressed sensing
- Abstract:
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We present a new recovery analysis for a standard compressed sensing algorithm, Iterative Hard Thresholding (IHT) (Blumensath and Davies, 2008), which considers the fixed points of the algorithm. In the context of arbitrary measurement matrices, we derive a sufficient condition for convergence of IHT to a fixed point and a necessary condition for the existence of fixed points. These conditions allow us to perform a sparse signal recovery analysis in the deterministic noiseless case by implyin...
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Bibliographic Details
- Publisher:
- Unspecified
- Publication date:
- 2013-09-01
Item Description
- UUID:
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uuid:06c18932-cc90-4479-b03c-7ba0ae7a570a
- Local pid:
- oai:eprints.maths.ox.ac.uk:1752
- Deposit date:
- 2013-10-10
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- Copyright date:
- 2013
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