Perfect reconstruction formulas and bounds on aliasing error in sub-nyquist nonuniform sampling of multiband signals

@article{Venkataramani2000PerfectRF,
  title={Perfect reconstruction formulas and bounds on aliasing error in sub-nyquist nonuniform sampling of multiband signals},
  author={R. Venkataramani and Y. Bresler},
  journal={IEEE Trans. Inf. Theory},
  year={2000},
  volume={46},
  pages={2173-2183}
}
  • R. Venkataramani, Y. Bresler
  • Published 2000
  • Mathematics, Computer Science
  • IEEE Trans. Inf. Theory
  • We examine the problem of periodic nonuniform sampling of a multiband signal and its reconstruction from the samples. This sampling scheme, which has been studied previously, has an interesting optimality property that uniform sampling lacks: one can sample and reconstruct the class /spl Bscr/(/spl Fscr/) of multiband signals with spectral support /spl Fscr/, at rates arbitrarily close to the Landau (1969) minimum rate equal to the Lebesgue measure of /spl Fscr/, even when /spl Fscr/ does not… CONTINUE READING
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