{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:39Z","timestamp":1740134559577,"version":"3.37.3"},"reference-count":17,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61221063","61104051","61074176","61004087"],"award-info":[{"award-number":["61221063","61104051","61074176","61004087"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61221063","61104051","61074176","61004087"],"award-info":[{"award-number":["61221063","61104051","61074176","61004087"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61221063","61104051","61074176","61004087"],"award-info":[{"award-number":["61221063","61104051","61074176","61004087"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61221063","61104051","61074176","61004087"],"award-info":[{"award-number":["61221063","61104051","61074176","61004087"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Returned Overseas Chinese Scholars, State Education Ministry","award":["61221063","61104051","61074176","61004087"],"award-info":[{"award-number":["61221063","61104051","61074176","61004087"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>In this paper, a novel method named as splitting matching pursuit (SMP) is proposed to reconstruct<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><\/mml:math>-sparse signal in compressed sensing. The proposed method selects<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mi>F<\/mml:mi><mml:mi>l<\/mml:mi><\/mml:math>\u2009\u2009<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mrow><mml:mi>F<\/mml:mi><mml:mi>l<\/mml:mi><mml:mo>&gt;<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi>K<\/mml:mi><\/mml:mrow><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><\/mml:math>largest components of the correlation vector<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mi>c<\/mml:mi><\/mml:mrow><\/mml:math>, which are divided into<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mrow><mml:mi>F<\/mml:mi><\/mml:mrow><\/mml:math>split sets with equal length<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mrow><mml:mi>l<\/mml:mi><\/mml:mrow><\/mml:math>. The searching area is thus expanded to incorporate more candidate components, which increases the probability of finding the true components at one iteration. The proposed method does not require the sparsity level<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M7\"><mml:mrow><mml:mi>K<\/mml:mi><\/mml:mrow><\/mml:math>to be known in prior. The Merging, Estimation and Pruning steps are carried out for each split set independently, which makes it especially suitable for parallel computation. The proposed SMP method is then extended to more practical condition, e.g. the direction of arrival (DOA) estimation problem in phased array radar system using compressed sensing. Numerical simulations show that the proposed method succeeds in identifying multiple targets in a sparse radar scene, outperforming other OMP-type methods. The proposed method also obtains more precise estimation of DOA angle using one snapshot compared with the traditional estimation methods such as Capon, APES (amplitude and phase estimation) and GLRT (generalized likelihood ratio test) based on hundreds of snapshots.<\/jats:p>","DOI":"10.1155\/2013\/804640","type":"journal-article","created":{"date-parts":[[2013,5,12]],"date-time":"2013-05-12T17:01:08Z","timestamp":1368378068000},"page":"1-8","source":"Crossref","is-referenced-by-count":1,"title":["Splitting Matching Pursuit Method for Reconstructing Sparse Signal in Compressed Sensing"],"prefix":"10.1155","volume":"2013","author":[{"given":"Liu","family":"Jing","sequence":"first","affiliation":[{"name":"The School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, Shaanxi 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Han","family":"ChongZhao","sequence":"additional","affiliation":[{"name":"The School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, Shaanxi 710049, China"},{"name":"The MOE Key Lab for Intelligent and Networked Systems, The School of Electronic and Information Engineering, Xian Jiaotong University, Xi\u2019an, Shaanxi 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yao","family":"XiangHua","sequence":"additional","affiliation":[{"name":"The School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, Shaanxi 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lian","family":"Feng","sequence":"additional","affiliation":[{"name":"The School of Electronic and Information Engineering, Xi\u2019an Jiaotong University, Xi\u2019an, Shaanxi 710049, China"},{"name":"The MOE Key Lab for Intelligent and Networked Systems, The School of Electronic and Information Engineering, Xian Jiaotong University, Xi\u2019an, Shaanxi 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1137\/S1064827596304010"},{"year":"2004","key":"2"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2010.2044010"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1109\/78.258082"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.834793"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-008-9031-3"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2016006"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2008.07.002"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2011.2147313"},{"issue":"8","key":"11","doi-asserted-by":"crossref","first-page":"1408","DOI":"10.1109\/PROC.1969.7278","volume":"57","year":"1969","journal-title":"Proceedings of the IEEE"},{"issue":"6","key":"12","doi-asserted-by":"crossref","first-page":"1469","DOI":"10.1109\/78.506612","volume":"44","year":"1996","journal-title":"IEEE Transactions on Signal Processing"},{"issue":"2","key":"13","first-page":"115","volume":"22","year":"1986","journal-title":"IEEE Transactions on Aerospace and Electronic Systems"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2009.11.009"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2011.2162328"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2012.2183127"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2011.2112650"},{"year":"1988","key":"21"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/804640.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/804640.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/804640.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,21]],"date-time":"2017-06-21T08:54:26Z","timestamp":1498035266000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/804640\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":17,"alternative-id":["804640","804640"],"URL":"https:\/\/doi.org\/10.1155\/2013\/804640","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}