Sampling Theorems for Signals from the Union of Linear Subspaces .

  title={Sampling Theorems for Signals from the Union of Linear Subspaces .},
  author={Thomas Blumensath and Mike E. Davies},
Compressed sensing is an emerging signal acquisition technique that enables signals to be sampled well below the Nyquist rate, given that the signal has a sparse representation in an orthonormal basis. In fact, sparsity in an orthonormal basis is only one possible signal model that allows for sampling strategies below the Nyquist rate. In this paper we consider a more general signal model and assume signals that live on or close to the union of linear subspaces of low dimension. We present… CONTINUE READING
Highly Cited
This paper has 38 citations. REVIEW CITATIONS
22 Extracted Citations
35 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 35 references


  • T. Sauer, J. A. Yorke, M. Casdagli
  • Journal of Statistical Physics, vol. 65, no. 3/4…
  • 1991
Highly Influential
19 Excerpts

A simple proof of the restricted isometry property for random matrices

  • R. Baraniuk, M. Davenport, R. De Vore, M. Wakin
  • Constructive Approximation, 2007.
  • 2007
2 Excerpts

Similar Papers

Loading similar papers…