Paper Abstract and Keywords |
Presentation |
2014-07-11 18:10
High quality recovery of nonsparse signals from compressed sensing Aiko Nishiyama, Yuki Yamanaka, Akira Hirabayashi (Ritsumeikan Univ.), Kazushi Mimura (Hiroshima City Univ.) CAS2014-24 VLD2014-33 SIP2014-45 MSS2014-24 SIS2014-24 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We propose a novel algorithm for the recovery of non-sparse, but compressible signals from linear undersampled measurements. The algorithm proposed in this paper consists of two steps. The first step recovers the signal by the l1 min imization. Then, the second step decomposes the l1 reconstruction into major and minor components. By using the major components, measurements for the minor components of the target signal are estimated. Error evaluation of the estimate leads to the standard ridge regression for the recovery of the minor components with the regularization parameter determined using the error bound. After a slight modification to the major components, the final estimate is obtained by combining the two estimates. Computational cost of the proposed algorithm is mostly the same as the l1 minimization. Simulation results for one-dimensional computer generated signals show the effectiveness of the proposed algorithm over not only l1 minimization but also the Lasso estimator. Simulations using the standard images also show the effectiveness of the proposed algorithm. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Sparse signals / compressibility / l1-norm minimization / null space property / restricted isometry property / / / |
Reference Info. |
IEICE Tech. Rep., vol. 114, no. 124, SIP2014-45, pp. 123-127, July 2014. |
Paper # |
SIP2014-45 |
Date of Issue |
2014-07-02 (CAS, VLD, SIP, MSS, SIS) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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CAS2014-24 VLD2014-33 SIP2014-45 MSS2014-24 SIS2014-24 |
Conference Information |
Committee |
CAS SIP MSS VLD SIS |
Conference Date |
2014-07-09 - 2014-07-11 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Hokkaido University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
System, signal processing and related topics |
Paper Information |
Registration To |
SIP |
Conference Code |
2014-07-CAS-SIP-MSS-VLD-SIS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
High quality recovery of nonsparse signals from compressed sensing |
Sub Title (in English) |
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Keyword(1) |
Sparse signals |
Keyword(2) |
compressibility |
Keyword(3) |
l1-norm minimization |
Keyword(4) |
null space property |
Keyword(5) |
restricted isometry property |
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1st Author's Name |
Aiko Nishiyama |
1st Author's Affiliation |
Ritsumeikan University (Ritsumeikan Univ.) |
2nd Author's Name |
Yuki Yamanaka |
2nd Author's Affiliation |
Ritsumeikan University (Ritsumeikan Univ.) |
3rd Author's Name |
Akira Hirabayashi |
3rd Author's Affiliation |
Ritsumeikan University (Ritsumeikan Univ.) |
4th Author's Name |
Kazushi Mimura |
4th Author's Affiliation |
Hiroshima City University (Hiroshima City Univ.) |
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Speaker |
Author-1 |
Date Time |
2014-07-11 18:10:00 |
Presentation Time |
20 minutes |
Registration for |
SIP |
Paper # |
CAS2014-24, VLD2014-33, SIP2014-45, MSS2014-24, SIS2014-24 |
Volume (vol) |
vol.114 |
Number (no) |
no.122(CAS), no.123(VLD), no.124(SIP), no.125(MSS), no.126(SIS) |
Page |
pp.123-127 |
#Pages |
5 |
Date of Issue |
2014-07-02 (CAS, VLD, SIP, MSS, SIS) |
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