{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:45:14Z","timestamp":1760197514909,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2018,6,25]],"date-time":"2018-06-25T00:00:00Z","timestamp":1529884800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Excellent Youth Fund NSFC","award":["No.61425010"],"award-info":[{"award-number":["No.61425010"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In recent years, Compressive Sensing (CS) theory has been very popular in the data sensing and process area as it utilizes the sparsity and measurement matrix to reconstruct the compressible signal from limited samples successfully. In this paper, CS is introduced into an efficient numerical method, multilevel fast multipole acceleration (MLFMA), for the electromagnetic (EM) scattering problem over a wide incident angle. This allows composition of a new kind of incident wave, which obtains efficient and reliable data for scattering centers extraction with low complexity. The resulting data from CS-based MLFMA are processed for ISAR) imaging. Simulation results show the received data for ISAR imaging from MLFMA with CS can outperform the data from MLFMA, which achieves a similar quality of ISAR imaging. Additionally, the computation complexity is improved by CS through the reduced matrix computation for fewer incident waves. It makes ISAR imaging using real data feasible and meaningful.<\/jats:p>","DOI":"10.3390\/s18072024","type":"journal-article","created":{"date-parts":[[2018,6,25]],"date-time":"2018-06-25T11:03:25Z","timestamp":1529924605000},"page":"2024","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Compressive Sensing Based Multilevel Fast Multipole Acceleration for Fast Scattering Center Extraction and ISAR Imaging"],"prefix":"10.3390","volume":"18","author":[{"given":"Wei","family":"Zhu","sequence":"first","affiliation":[{"name":"School of Electronic Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China"}]},{"given":"Ming","family":"Jiang","sequence":"additional","affiliation":[{"name":"School of Electronic Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China"}]},{"given":"Xin","family":"He","sequence":"additional","affiliation":[{"name":"School of Electronic Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China"}]},{"given":"Jun","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Electronic Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China"}]}],"member":"1968","published-online":{"date-parts":[[2018,6,25]]},"reference":[{"key":"ref_1","unstructured":"Bao, Z., Xing, M.D., and Wang, T. (2014). Radar Imaging Technology, Publishing House of Electronics Industry."},{"key":"ref_2","unstructured":"Son, J.S., Thomas, G., and Flores, B.C. (2001). Range-Doppler Radar Imaging and Motion Compensation, Artech House Publisher."},{"key":"ref_3","unstructured":"Gu, X., Zhang, Y.H., and Zhang, X.K. (2007, January 5\u20139). Electromagnetic simulation of ISAR Imaging with super- resolution. Proceedings of the 1st Asian and Pacific Conference on Synthetic Aperture Radar, Huangshan, China."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"550","DOI":"10.1109\/LAWP.2010.2051011","article-title":"NUFFT-based near-field imaging technique for far-field radar cross section calculation","volume":"9","author":"Li","year":"2010","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1002\/mop.10685","article-title":"Characteristic basis function method: A new technique for efficient solution of method of moments matrix equation","volume":"36","author":"Prakash","year":"2003","journal-title":"Microw. Opt. Technol. Lett."},{"key":"ref_6","unstructured":"Wang, J.J.H. (1991). Generalized Moment Methods in Electromagnetics: Formulation and Solution of Integral Equations, John Wiley & Sons, Inc."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1007\/BF01396415","article-title":"Mixed finite element in R3","volume":"35","author":"Nedelec","year":"1980","journal-title":"Numer. Math."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Harrington, R.F. (1993). Field Computational by Moment Methods, IEEE Press.","DOI":"10.1109\/9780470544631"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1488","DOI":"10.1109\/8.633855","article-title":"Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects","volume":"45","author":"Song","year":"1997","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_10","first-page":"404","article-title":"Steepest descent-fast multipole algorithm for scattering from 3D planar conductor","volume":"4","author":"Hu","year":"1998","journal-title":"Chin. J. Electron."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1109\/MSP.2007.914731","article-title":"A introduction to compressive sampling","volume":"25","author":"Candes","year":"2008","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_12","unstructured":"Candes, E.J. (2006). Compressive sampling. Proceedings of International Congress of Mathematicians, European Mathematical Society Publishing House."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.1109\/TIT.2006.871582","article-title":"Compressed Sensing","volume":"52","author":"Donoho","year":"2006","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1109\/MSP.2007.4286571","article-title":"A lecture compressive sensing","volume":"24","author":"Baraniuk","year":"2007","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"4655","DOI":"10.1109\/TIT.2007.909108","article-title":"Signal recovery from random measurements via orthogonal matching pursuit","volume":"53","author":"Tropp","year":"2007","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1016\/j.sigpro.2005.05.029","article-title":"Extensions of compressed sensing","volume":"86","author":"Tsaig","year":"2006","journal-title":"Signal Process."},{"key":"ref_17","first-page":"2361","article-title":"Application of priori knowledge to solving problems of electromagnetic field by compressed sensing","volume":"41","author":"Cao","year":"2013","journal-title":"Acta Electron. Sin."},{"key":"ref_18","first-page":"163","article-title":"Electromagnetic scattering and image processing of targets under complex environment based on compressive sensing method","volume":"26","author":"Qi","year":"2014","journal-title":"High Power Laser Part. Beams"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Burkholder, R.J., O\u2019Donnell, A.N., Coburn, W.O., and Reddy, C. (2012, January 2\u20137). Sparse basis expansions for compressive sensing of electromagnetic scattering patterns computed using iterative physical optics. Proceedings of the International Conference on Electromagnetics in Advanced Applications (ICEAA), Cape Town, South Africa.","DOI":"10.1109\/ICEAA.2012.6328665"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1006","DOI":"10.1109\/JPROC.2009.2037526","article-title":"Sparsity and compressed sensing in radar imaging","volume":"98","author":"Potter","year":"2010","journal-title":"Proc. IEEE"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Baraniuk, R., and Steeghs, P. (2007, January 17\u201320). Compressive radar imaging. Proceedings of the IEEE Radar Conference, Boston, MA, USA.","DOI":"10.1109\/RADAR.2007.374203"},{"key":"ref_22","first-page":"251","article-title":"A review of radar imaging technique based on compressed sensing","volume":"27","author":"Liu","year":"2011","journal-title":"Signal Process."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1402","DOI":"10.1016\/j.sigpro.2009.11.009","article-title":"On compressive sensing applied to radar","volume":"90","author":"Ender","year":"2010","journal-title":"Signal Process."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"4630","DOI":"10.1109\/TGRS.2011.2151865","article-title":"High-resolution ISAR imaging with sparse stepped-frequency waveforms","volume":"49","author":"Zhang","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"997","DOI":"10.1109\/TAP.2011.2173130","article-title":"High-resolution ISAR imaging by exploiting sparse apertures","volume":"60","author":"Zhang","year":"2012","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1109\/MNET.2017.1500151","article-title":"QUOIN: Incentive mechanisms for crowd sensing networks","volume":"32","author":"Ota","year":"2018","journal-title":"IEEE Netw."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1109\/MNET.2018.1700202","article-title":"Learning IoT in edge: Deep learning for the internet-of-things with edge computing","volume":"32","author":"Li","year":"2018","journal-title":"IEEE Netw."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"774","DOI":"10.1109\/LWC.2017.2740927","article-title":"Performance guaranteed computation offloading for mobile-edge cloud computing","volume":"6","author":"Tao","year":"2017","journal-title":"IEEE Wirel. Commun. Lett."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"3458","DOI":"10.1109\/TPDS.2017.2740294","article-title":"Eyes in the dark: Distributed Scene understanding for disaster management","volume":"28","author":"Li","year":"2017","journal-title":"IEEE Trans. Parallel Distrib. Syst."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1109\/MNET.2017.1600213NM","article-title":"Foud: Integrating fog and cloud for 5G-Enabled V2G networks","volume":"31","author":"Tao","year":"2017","journal-title":"IEEE Netw."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"572","DOI":"10.1016\/j.jcp.2005.06.005","article-title":"Theoretical and experimental analysis of a randomized algorithm for sparse Fourier transform analysis","volume":"211","author":"Zou","year":"2006","journal-title":"J. Comput. Phys."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1109\/TIT.2005.862083","article-title":"Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information","volume":"52","author":"Candes","year":"2006","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1007\/s00365-007-9003-x","article-title":"A simple proof of the restricted isometry property for random matrices","volume":"28","author":"Baraniuk","year":"2008","journal-title":"Constr. Approx."},{"key":"ref_34","unstructured":"He, X., Hu, J., and Nie, Z.P. (2013, January 21\u201325). Application of Combination of Excitations and Compressed Sensing for Fast Computation of Monostatic Scattering. Proceedings of the Cross Strait Quad-Regional Radio Science and Wireless Technology Conference, Chengdu, China."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/7\/2024\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:09:58Z","timestamp":1760195398000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/7\/2024"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6,25]]},"references-count":34,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2018,7]]}},"alternative-id":["s18072024"],"URL":"https:\/\/doi.org\/10.3390\/s18072024","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2018,6,25]]}}}