Blind Multiband Signal Reconstruction: Compressed Sensing for Analog Signals

@article{Mishali2009BlindMS,
  title={Blind Multiband Signal Reconstruction: Compressed Sensing for Analog Signals},
  author={Moshe Mishali and Yonina C. Eldar},
  journal={IEEE Transactions on Signal Processing},
  year={2009},
  volume={57},
  pages={993-1009}
}
We address the problem of reconstructing a multiband signal from its sub-Nyquist pointwise samples, when the band locations are unknown. Our approach assumes an existing multi-coset sampling. To date, recovery methods for this sampling strategy ensure perfect reconstruction either when the band locations are known, or under strict restrictions on the possible spectral supports. In this paper, only the number of bands and their widths are assumed without any other limitations on the support. We… 
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