TY - GEN
T1 - One-bit compressive sensing and source localization in wireless sensor networks
AU - Shen, Yanning
AU - Fang, Jun
AU - Li, Hongbin
PY - 2013
Y1 - 2013
N2 - This paper considers the problem of reconstructing sparse or compressible signals from one-bit quantized measurements. We study a new method that uses a log-sum penalty function, also referred to as the Gaussian entropy, for sparse signal recovery. Additionally, in the proposed method, the sigmoid function is introduced to quantify the consistency between the measured one-bit quantized data and the reconstructed signal. A fast iterative algorithm is developed by iteratively minimizing a convex surrogate function that bounds the original objective function. This leads to an iterative reweighted process that alternates between estimating the sparse signal and refining the weights of the surrogate function. The application of one-bit compressed sensing to source localization in wireless sensor networks is also discussed. Simulations are provided to illustrate the effectiveness of our proposed algorithm.
AB - This paper considers the problem of reconstructing sparse or compressible signals from one-bit quantized measurements. We study a new method that uses a log-sum penalty function, also referred to as the Gaussian entropy, for sparse signal recovery. Additionally, in the proposed method, the sigmoid function is introduced to quantify the consistency between the measured one-bit quantized data and the reconstructed signal. A fast iterative algorithm is developed by iteratively minimizing a convex surrogate function that bounds the original objective function. This leads to an iterative reweighted process that alternates between estimating the sparse signal and refining the weights of the surrogate function. The application of one-bit compressed sensing to source localization in wireless sensor networks is also discussed. Simulations are provided to illustrate the effectiveness of our proposed algorithm.
KW - Compressed sensing
KW - one-bit quantization
KW - source localization
KW - surrogate function
UR - http://www.scopus.com/inward/record.url?scp=84889595699&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84889595699&partnerID=8YFLogxK
U2 - 10.1109/ChinaSIP.2013.6625365
DO - 10.1109/ChinaSIP.2013.6625365
M3 - Conference contribution
AN - SCOPUS:84889595699
SN - 9781479910434
T3 - 2013 IEEE China Summit and International Conference on Signal and Information Processing, ChinaSIP 2013 - Proceedings
SP - 379
EP - 383
BT - 2013 IEEE China Summit and International Conference on Signal and Information Processing, ChinaSIP 2013 - Proceedings
T2 - 2013 IEEE China Summit and International Conference on Signal and Information Processing, ChinaSIP 2013
Y2 - 6 July 2013 through 10 July 2013
ER -