One-Bit Measurements With Adaptive Thresholds

@article{Kamilov2012OneBitMW,
  title={One-Bit Measurements With Adaptive Thresholds},
  author={Ulugbek Kamilov and Aur{\'e}lien Bourquard and Arash Amini and Michael Unser},
  journal={IEEE Signal Processing Letters},
  year={2012},
  volume={19},
  pages={607-610}
}
We introduce a new method for adaptive one-bit quantization of linear measurements and propose an algorithm for the recovery of signals based on generalized approximate message passing (GAMP). Our method exploits the prior statistical information on the signal for estimating the minimum-mean-squared error solution from one-bit measurements. Our approach allows the one-bit quantizer to use thresholds on the real line. Given the previous measurements, each new threshold is selected so as to… CONTINUE READING
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