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By solving an optimization problem, the original sparse signal can be reconstructed accurately. In this paper, a new Tree-based Backtracking Orthogonal Matching Pursuit (TBOMP) algorithm is presented with the idea of the tree model in wavelet domain. The algorithm can convert the wavelet tree structure to the corresponding relations of candidate atoms without any prior information of signal sparsity. Thus, the atom selection process will be more structural and the search space can be narrowed. Moreover, according to the backtracking process, the previous chosen atoms\u2019 reliability can be detected and the unreliable atoms can be deleted at each iteration, which leads to an accurate reconstruction of the signal ultimately. Compared with other compressed sensing algorithms, simulation results show the proposed algorithm\u2019s superior performance to that of several other OMP-type algorithms.<\/jats:p>","DOI":"10.1155\/2013\/864132","type":"journal-article","created":{"date-parts":[[2013,11,10]],"date-time":"2013-11-10T16:49:29Z","timestamp":1384102169000},"page":"1-8","source":"Crossref","is-referenced-by-count":6,"title":["Tree-Based Backtracking Orthogonal Matching Pursuit for Sparse Signal Reconstruction"],"prefix":"10.1155","volume":"2013","author":[{"given":"Yigang","family":"Cen","sequence":"first","affiliation":[{"name":"School of Computer and Information Technology, Beijing Jiaotong University, Beijing 100044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fangfei","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Computer and Information Technology, Beijing Jiaotong University, Beijing 100044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ruizhen","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Computer and Information Technology, Beijing Jiaotong University, Beijing 100044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lihong","family":"Cui","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Beijing University of Chemical Technology, Beijing 100029, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lihui","family":"Cen","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, Central South University, Changsha, Hunan 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhenjiang","family":"Miao","sequence":"additional","affiliation":[{"name":"School of Computer and Information Technology, Beijing Jiaotong University, Beijing 100044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanming","family":"Cen","sequence":"additional","affiliation":[{"name":"Polytechnic College, Guizhou Minzu University, Guiyang, Guizhou 550025, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.871582"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.862083"},{"key":"4","first-page":"74","volume":"35","year":"2012","journal-title":"Applied and Computational Harmonic Analysis"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-013-4855-0"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.909108"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.860430"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jat.2007.01.004"},{"issue":"2","key":"9","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1007\/BF03549495","volume":"7","year":"2008","journal-title":"Sampling Theory in Signal and Image Processing"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2040894"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-008-9031-3"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2011.2147313"},{"issue":"8","key":"16","first-page":"53","volume":"31","year":"2010","journal-title":"Journal on Communications"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/864132.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/864132.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/864132.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,11]],"date-time":"2022-03-11T23:59:48Z","timestamp":1647043188000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/864132\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":12,"alternative-id":["864132","864132"],"URL":"https:\/\/doi.org\/10.1155\/2013\/864132","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"value":"1110-757X","type":"print"},{"value":"1687-0042","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013]]}}}