TY - GEN
T1 - Performance analysis of joint-sparse recovery from multiple measurement vectors with prior information via convex optimization
AU - Hu, Shih Wei
AU - Lin, Gang Xuan
AU - Hsieh, Sung Hsien
AU - Liang, Wei Jie
AU - Lu, Chun Shien
N1 - Funding Information:
This work was supported by Ministry of Science and Technology, Taiwan, ROC, under grants MOST 104-2221-E-001- 019-MY3 and 104-2221-E-001-030-MY3.
Publisher Copyright:
© 2016 IEEE.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 2016/5/18
Y1 - 2016/5/18
N2 - We address the problem of compressed sensing with multiple measurement vectors associated with prior information in order to better reconstruct an original sparse signal. This problem is modeled via convex optimization with 2, 1 - 2,1 minimization. We establish bounds on the number of measurements required for successful recovery. Our bounds and geometrical interpretations reveal that if the prior information can decrease the statistical dimension and make it lower than that under the case without prior information, 2, 1 - 2, 1 minimization improves the recovery performance dramatically. All our findings are further verified via simulations.
AB - We address the problem of compressed sensing with multiple measurement vectors associated with prior information in order to better reconstruct an original sparse signal. This problem is modeled via convex optimization with 2, 1 - 2,1 minimization. We establish bounds on the number of measurements required for successful recovery. Our bounds and geometrical interpretations reveal that if the prior information can decrease the statistical dimension and make it lower than that under the case without prior information, 2, 1 - 2, 1 minimization improves the recovery performance dramatically. All our findings are further verified via simulations.
UR - http://www.scopus.com/inward/record.url?scp=84973299476&partnerID=8YFLogxK
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U2 - 10.1109/ICASSP.2016.7472502
DO - 10.1109/ICASSP.2016.7472502
M3 - Conference contribution
AN - SCOPUS:84973299476
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 4368
EP - 4372
BT - 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016
Y2 - 20 March 2016 through 25 March 2016
ER -