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Generalized Approximate Message Passing for One-Bit Compressed Sensing with AWGN

Abstract: 

Compressed sensing recovery techniques allow for reconstruction of an unknown sparse vector from an underdetermined system of linear equations. Recently, a lot of attention was drawn to the problem of recovering the sparse vector from quantized CS measurements. Especially interesting is the case, when extreme quantization is enforced that captures only the sign of the measurements. The problem becomes even more difficult if the measurements are corrupted by noise. In this paper we consider \ac{AWGN}. To solve this problem, we employ the highly efficient \ac{GAMP} algorithm and provide closed-form expressions for the nonlinear steps. We demonstrate superiority of this approach in terms of the \ac{MSE}-performance compared to a similar state-of-the-art algorithm from the literature.

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Paper Details

Authors:
Osman Musa,Gabor Hannak,Norbert Goertz
Submitted On:
6 December 2016 - 12:16pm
Short Link:
Type:
Poster
Event:
Presenter's Name:
Osman Musa
Paper Code:
1344
Document Year:
2016
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globalsip2016-poster.pdf

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[1] Osman Musa,Gabor Hannak,Norbert Goertz, "Generalized Approximate Message Passing for One-Bit Compressed Sensing with AWGN", IEEE SigPort, 2016. [Online]. Available: http://sigport.org/1368. Accessed: Jul. 27, 2017.
@article{1368-16,
url = {http://sigport.org/1368},
author = {Osman Musa;Gabor Hannak;Norbert Goertz },
publisher = {IEEE SigPort},
title = {Generalized Approximate Message Passing for One-Bit Compressed Sensing with AWGN},
year = {2016} }
TY - EJOUR
T1 - Generalized Approximate Message Passing for One-Bit Compressed Sensing with AWGN
AU - Osman Musa;Gabor Hannak;Norbert Goertz
PY - 2016
PB - IEEE SigPort
UR - http://sigport.org/1368
ER -
Osman Musa,Gabor Hannak,Norbert Goertz. (2016). Generalized Approximate Message Passing for One-Bit Compressed Sensing with AWGN. IEEE SigPort. http://sigport.org/1368
Osman Musa,Gabor Hannak,Norbert Goertz, 2016. Generalized Approximate Message Passing for One-Bit Compressed Sensing with AWGN. Available at: http://sigport.org/1368.
Osman Musa,Gabor Hannak,Norbert Goertz. (2016). "Generalized Approximate Message Passing for One-Bit Compressed Sensing with AWGN." Web.
1. Osman Musa,Gabor Hannak,Norbert Goertz. Generalized Approximate Message Passing for One-Bit Compressed Sensing with AWGN [Internet]. IEEE SigPort; 2016. Available from : http://sigport.org/1368