Abstract:Shift-invariant and sampling spaces play a vital role in the fields of signal processing and image processing. In this paper, we extend the generalized shift-invariant and sampling subspaces from the traditional sampling spaces to the compressed sampling, and develop a compressed sampling method for analog sparse signals based on the shift-invariant spaces associated with fractional Fourier transform (FrFT). First, we show the generalized shift-invariant and sampling subspaces can be used to explain the tradit… Show more
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