{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:48:18Z","timestamp":1760240898404,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"21","license":[{"start":{"date-parts":[[2019,10,24]],"date-time":"2019-10-24T00:00:00Z","timestamp":1571875200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61371005"],"award-info":[{"award-number":["61371005"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this work, we focus on sparse representation of two-dimensional (2-D) radar signatures for man-made targets. Based on the damped exponential (DE) model, a 2-D augmented state\u2013space approach (ASSA) is proposed to estimate the parameters of scattering centers on complex man-made targets, i.e., the complex amplitudes and the poles in down-range and aspect dimensions. An augmented state\u2013space approach is developed for pole estimation of down-range dimension. Multiple-range search strategy, which applies one-dimensional (1-D) state\u2013space approach (SSA) to the 1-D data for each down-range cell, is used to alleviate the pole-pairing problem occurring in previous algorithms. Effectiveness of the proposed approach is verified by the numerical and measured inverse synthetic aperture radar (ISAR) data.<\/jats:p>","DOI":"10.3390\/s19214631","type":"journal-article","created":{"date-parts":[[2019,10,25]],"date-time":"2019-10-25T04:41:27Z","timestamp":1571978487000},"page":"4631","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Two-Dimensional Augmented State\u2013Space Approach with Applications to Sparse Representation of Radar Signatures"],"prefix":"10.3390","volume":"19","author":[{"given":"Kejiang","family":"Wu","sequence":"first","affiliation":[{"name":"School of Electronics and Information Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2340-5775","authenticated-orcid":false,"given":"Xiaojian","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Electronics and Information Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,10,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3941","DOI":"10.1109\/JSTARS.2014.2359250","article-title":"Sparse Representation-Based ISAR Imaging Using Markov Random Fields","volume":"8","author":"Wang","year":"2015","journal-title":"IEEE J. Sel. Topics Appl. Earth Observ. Remote Sens."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"4634","DOI":"10.1109\/TSP.2016.2563409","article-title":"New Sparse-Promoting Prior for the Estimation of a Radar Scene with Weak and Strong Targets","volume":"64","author":"Lasserre","year":"2016","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_3","unstructured":"Tseng, N. (1992). A very Efficient RCS Data Compression and Reconstruction Technique. [Master\u2019s Thesis, The Ohio State University]."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"952","DOI":"10.1109\/LSP.2014.2321565","article-title":"Sparse Representation of Monogenic Signal: With Application to Target Recognition in SAR Images","volume":"21","author":"Dong","year":"2014","journal-title":"IEEE Signal Process. Lett."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Xu, X.J., and He, F.Y. (2014). An Iterative Procedure for Ultra-Wideband Imagery of Space Objects from Distributed Multi-Band Radar Signatures. Proc. SPIE., 9227.","DOI":"10.1117\/12.2061697"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1469","DOI":"10.1109\/78.506612","article-title":"An Adaptive Filtering Approach to Spectral Estimation and SAR Imaging","volume":"44","author":"Li","year":"1996","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_7","unstructured":"Graaf, S.R.D. (1988, January 3\u20135). Parametric Estimation of Complex 2-D Sinusoids. Proceedings of the IEEE Fouth Annual ASSP Workshop on Spectrum Estimation and Modeling, Minneapolis, MN, USA."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1109\/TAES.2003.1188920","article-title":"Two-Dimensional Evolutionary Programming-Based CLEAN","volume":"39","author":"Choi","year":"2003","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"3548","DOI":"10.1109\/TSP.2008.919392","article-title":"Sparse Representation in Structured Dictionaries With Application to Synthetic Aperture Radar","volume":"56","author":"Varshney","year":"2008","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_10","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_11","doi-asserted-by":"crossref","first-page":"5005","DOI":"10.1109\/TGRS.2013.2286402","article-title":"Superresolution ISAR Imaging Based on Sparse Bayesian Learning","volume":"52","author":"Liu","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1386","DOI":"10.1109\/8.320744","article-title":"Two-Dimensional Superresolution Radar Imaging Using the MUSIC Algorithm","volume":"42","author":"Odendaal","year":"1994","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"814","DOI":"10.1109\/29.56027","article-title":"Matrix Pencil Method for Estimating Parameters of Exponentially Damped\/undamped Sinusoids in Noise","volume":"36","author":"Hua","year":"1990","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"2267","DOI":"10.1109\/78.157226","article-title":"Estimating Two-Dimensional Frequencies by Matrix Enhancement and Matrix Pencil","volume":"40","author":"Hua","year":"1992","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"3127","DOI":"10.1109\/78.257242","article-title":"Two-Dimensional Prony Modeling and Parameter Estimation","volume":"41","author":"Sacchini","year":"1993","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_16","unstructured":"Vanpoucke, F., Moonen, M., and Berthoumieu, Y. (1994, January 19\u201322). An Efficient Subspace Algorithm for 2-D Harmonic Retrieval. Proceedings of the ICASSP \u201994. IEEE International Conference on Acoustics, Speech and Signal Processing, Adelaide, SA, Australia."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1109\/78.890367","article-title":"Estimation of Frequencies and Damping Factors by Two-Dimensional ESPRIT Type Methods","volume":"49","author":"Rouquette","year":"2001","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Piou, J.E. (July, January 30). System Realization Using 2-D Output Measurements. Proceedings of the 2004 American Control Conference (ACC), Boston, MA, USA.","DOI":"10.23919\/ACC.2004.1383897"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Piou, J.E., and Dumanian, A.J. (2014, January 4\u20136). Application of the Fornasini-Marchesini First Model to Data Collected on a Complex Target Model. Proceedings of the 2014 American Control Conference (ACC), Portland, OR, USA.","DOI":"10.1109\/ACC.2014.6858993"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"718","DOI":"10.1109\/TSP.2006.885813","article-title":"Estimation of Two-Dimensional Frequencies Using Modified Matrix Pencil Method","volume":"55","author":"Chen","year":"2007","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"5358","DOI":"10.1109\/TSP.2015.2454471","article-title":"Unitary PUMA Algorithm for Estimating the Frequency of a Complex Sinusoid","volume":"63","author":"Qian","year":"2015","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1742","DOI":"10.1109\/TAP.2008.916932","article-title":"A Robust State-Space Model for the Characterization of Extended Returns in Radar Target Signatures","volume":"56","author":"Naishadham","year":"2008","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1117\/12.242046","article-title":"Complex SAR Phase History Modeling Using Two-dimensional Parametric Estimation Techniques","volume":"2757","author":"Ying","year":"1996","journal-title":"Proc. SPIE."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1109\/MAP.2015.2401760","article-title":"Fast and Accurate RCS Calculation for Squat Cylinder Calibrators","volume":"57","author":"Xu","year":"2015","journal-title":"IEEE Antennas Propagation Mag."},{"key":"ref_25","first-page":"444","article-title":"High Range Resolution Profile Estimation via a Cognitive Stepped Frequency Technique","volume":"1","author":"Augusto","year":"2019","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_26","first-page":"512","article-title":"HRR profile estimation using SLIM","volume":"4","author":"Pia","year":"2019","journal-title":"IET Radar Sonar Navig."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1109\/83.552098","article-title":"Attributed Scattering Centers for SAR ATR","volume":"6","author":"Potter","year":"1997","journal-title":"IEEE Trans. Image Process."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1109\/TASSP.1985.1164557","article-title":"Detection of Signals by Information Theoretic Criteria","volume":"33","author":"Wax","year":"1995","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1190","DOI":"10.1109\/29.31267","article-title":"Detection of the Number of Coherent Signals by the MDL Principle","volume":"27","author":"Wax","year":"1989","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"2072","DOI":"10.1109\/78.771063","article-title":"Two-Dimensional Autoregressive (2-D AR) Model Order Estimation","volume":"47","author":"Aksasse","year":"1999","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1799","DOI":"10.1364\/JOSA.73.001799","article-title":"State-space and Singular-Value Decomposition based Approximation Methods for the Harmonic Retrieval Problem","volume":"73","author":"Kung","year":"1983","journal-title":"J. Opt. Soc. Am."},{"key":"ref_32","first-page":"524","article-title":"Two-Dimensional ESPRIT With Tracking for Radar Imaging and Feature Extraction","volume":"2","author":"Michael","year":"2004","journal-title":"IEEE Trans. Antennas Propag."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/21\/4631\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:29:11Z","timestamp":1760189351000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/21\/4631"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,10,24]]},"references-count":32,"journal-issue":{"issue":"21","published-online":{"date-parts":[[2019,11]]}},"alternative-id":["s19214631"],"URL":"https:\/\/doi.org\/10.3390\/s19214631","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2019,10,24]]}}}