Sampling signals with finite rate of innovation

@article{Vetterli2002SamplingSW,
  title={Sampling signals with finite rate of innovation},
  author={Martin Vetterli and Pina Marziliano and Thierry Blu},
  journal={IEEE Trans. Signal Processing},
  year={2002},
  volume={50},
  pages={1417-1428}
}
Consider classes of signals that have a finite number of degrees of freedom per unit of time and call this number the rate of innovation. Examples of signals with a finite rate of innovation include streams of Diracs (e.g., the Poisson process), nonuniform splines, and piecewise polynomials. Even though these signals are not bandlimited, we show that they can be sampled uniformly at (or above) the rate of innovation using an appropriate kernel and then be perfectly reconstructed. Thus, we prove… CONTINUE READING
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