Reconstructing sparse signals from their zero crossings

@article{Boufounos2008ReconstructingSS,
  title={Reconstructing sparse signals from their zero crossings},
  author={Petros Boufounos and Richard G. Baraniuk},
  journal={2008 IEEE International Conference on Acoustics, Speech and Signal Processing},
  year={2008},
  pages={3361-3364}
}
Classical sampling records the signal level at pre-determined time instances, usually uniformly spaced. An alternative implicit sampling model is to record the timing of pre-determined level crossings. Thus the signal dictates the sampling times but not the sampling levels. Logan's theorem provides sufficient conditions for a signal to be recoverable, within a scaling factor, from only the timing of its zero crossings. Unfortunately, recovery from noisy observations of the timings is not robust… CONTINUE READING
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