Biomedical Imaging GroupSTI
English only   BIG > Publications > One-Bit Measurements

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

One-Bit Measurements with Adaptive Thresholds

U.S. Kamilov, A. Bourquard, A. Amini, M. Unser

IEEE Signal Processing Letters, vol. 19, no. 10, pp. 607-610, October 2012.

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 partition the consistent region along its centroid computed by GAMP. We demonstrate that the proposed adaptive-quantization scheme with GAMP reconstruction greatly improves the performance of signal and image recovery from one-bit measurements.

AUTHOR="Kamilov, U.S. and Bourquard, A. and Amini, A. and Unser, M.",
TITLE="One-Bit Measurements with Adaptive Thresholds",
JOURNAL="{IEEE} Signal Processing Letters",

© 2012 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.