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In this paper, the symmetry of the noncircular signal is used to virtually expand the L-shaped array into an orthogonal cross array. Furthermore, the virtual received signal of the augmented array is obtained by the second-order statistic of the received data. Decoupling and dimension reduction of elevation and azimuth are realized by a z-axis subarray and y-axis subarray. Finally, the sparse reconstruction of the signal is realized by the minimum absolute convergence and selection operator method. This method can enlarge the aperture and freedom of array and has higher accuracy and resolution of DOA estimation. It has the advantages of automatic parameter pairing without additional pairing operation and is effective for coherent and incoherent signals. The final numerical simulation results prove the effectiveness of the method in this paper.<\/jats:p>","DOI":"10.1155\/2021\/1654836","type":"journal-article","created":{"date-parts":[[2021,5,25]],"date-time":"2021-05-25T23:05:09Z","timestamp":1621983909000},"page":"1-10","source":"Crossref","is-referenced-by-count":0,"title":["A Two-Dimensional DOA Estimation Method Based on Virtual Extension of Sparse Array"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6860-4594","authenticated-orcid":true,"given":"Guibao","family":"Wang","sequence":"first","affiliation":[{"name":"School of Physics and Telecommunication Engineering, Shaanxi University of Technology, Hanzhong 723001, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4179-6506","authenticated-orcid":true,"given":"Peiyao","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Telecommunications Engineering, Xidian University, Xi\u2019an 710071, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3095-6655","authenticated-orcid":true,"given":"Lanmei","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Physics and Optoelectronic Engineering, Xidian University, Xi\u2019an 710071, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4966-7733","authenticated-orcid":true,"given":"Xiangyu","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Physics and Optoelectronic Engineering, Xidian University, Xi\u2019an 710071, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7202-1420","authenticated-orcid":true,"given":"Huan","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Physics and Optoelectronic Engineering, Xidian University, Xi\u2019an 710071, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2738-9186","authenticated-orcid":true,"given":"Zhongpeng","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Physics and Telecommunication Engineering, Shaanxi University of Technology, Hanzhong 723001, China"}]}],"member":"311","reference":[{"doi-asserted-by":"publisher","key":"1","DOI":"10.1109\/lawp.2004.831083"},{"doi-asserted-by":"publisher","key":"2","DOI":"10.1080\/09205071.2013.823122"},{"doi-asserted-by":"publisher","key":"3","DOI":"10.1109\/tap.2012.2189740"},{"doi-asserted-by":"publisher","key":"4","DOI":"10.1109\/map.2005.1436274"},{"key":"5","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/j.dsp.2016.06.007","article-title":"An iterative approach for sparse direction-of- arrival estimation in coprime arrays with off-grid targets","volume":"61","author":"F. 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