Talks given at NuHAG events

Sampling and sparsity: from vectors and functions to matrices and operators

  Goetz Pfander

  given at  strobl07 (20.06.07 09:30)
  id:  646
  length:  25min
  status:  accepted
  type:  talk
We outline the identification problem for matrices and operators with "sparse representations" and show how this leads to a generalization of Shannon's sampling theorem and of the identifiability of time invariant operators to larger classes of pseudodifferential operators of any degree. In this overview talk we discuss operators with discretly supported spreading functions (Gabor frame operators), compactly supported spreading function (underspread operators) and bandlimited or compactly supported Weyl symbols.

We give applications to
- wireless communication channels
- multiple-input multiple-output channels
- dequantization

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