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research article

One-Bit Measurements With Adaptive Thresholds

Kamilov, Ulugbek S.
•
Bourquard, Aurelien
•
Amini, Arash  
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2012
Ieee Signal Processing Letters

We introduce a new method for adaptive one-bit quantization of linearmeasurements 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.

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Type
research article
DOI
10.1109/Lsp.2012.2209640
Web of Science ID

WOS:000307332100003

Author(s)
Kamilov, Ulugbek S.
•
Bourquard, Aurelien
•
Amini, Arash  
•
Unser, Michael  
Date Issued

2012

Publisher

Ieee-Inst Electrical Electronics Engineers Inc

Published in
Ieee Signal Processing Letters
Volume

19

Issue

10

Start page

607

End page

610

Subjects

Analog-to-digital conversion

•

approximate message passing

•

compressive sensing

•

one-bit quantization

URL

URL

http://bigwww.epfl.ch/publications/kamilov1204.html

URL

http://bigwww.epfl.ch/publications/kamilov1204.pdf

URL

http://bigwww.epfl.ch/publications/kamilov1204.ps
Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LIB  
Available on Infoscience
February 27, 2013
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/89467
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