# 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} }

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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