{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,10]],"date-time":"2026-01-10T15:54:11Z","timestamp":1768060451006,"version":"3.49.0"},"reference-count":42,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,6,12]],"date-time":"2024-06-12T00:00:00Z","timestamp":1718150400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National science foundation of China","award":["62371225"],"award-info":[{"award-number":["62371225"]}]},{"name":"National science foundation of China","award":["62371227"],"award-info":[{"award-number":["62371227"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This paper delves into the problem of direct position determination (DPD) for non-Gaussian sources. Existing DPD algorithms are hindered by their high computational complexity from exhaustive grid searches and a disregard for the received signal characteristics by multiple nested arrays (MNAs). To address these issues, the paper proposes a novel DPD algorithm for non-Gaussian sources with MNAs: the Discrete Fourier Transform (DFT) and Taylor compensation algorithm. Initially, the fourth-order cumulant matrix of the received signal is computed, and the vectorizing method is applied. Subsequently, a computationally efficient DPD cost function is proposed by leveraging a normalized DFT matrix to reduce complexity. Finally, first-order Taylor compensation is utilized to enhance the accuracy of the localization results. The superiority of the proposed algorithm is demonstrated through numerical simulation results.<\/jats:p>","DOI":"10.3390\/s24123801","type":"journal-article","created":{"date-parts":[[2024,6,12]],"date-time":"2024-06-12T08:45:50Z","timestamp":1718181950000},"page":"3801","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Direct Position Determination of Non-Gaussian Sources for Multiple Nested Arrays: Discrete Fourier Transform and Taylor Compensation Algorithm"],"prefix":"10.3390","volume":"24","author":[{"given":"Hao","family":"Hu","sequence":"first","affiliation":[{"name":"College of Electronic Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China"},{"name":"Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Nanjing University of Aeronautics and Astronautics, Ministry of Industry and Information Technology, Nanjing 211106, China"},{"name":"Jiangsu Automation Research Institute, Lianyungang 222000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Meng","family":"Yang","sequence":"additional","affiliation":[{"name":"College of Electronic Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China"},{"name":"Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Nanjing University of Aeronautics and Astronautics, Ministry of Industry and Information Technology, Nanjing 211106, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0004-1314-0384","authenticated-orcid":false,"given":"Qi","family":"Yuan","sequence":"additional","affiliation":[{"name":"College of Electronic Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China"},{"name":"Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Nanjing University of Aeronautics and Astronautics, Ministry of Industry and Information Technology, Nanjing 211106, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mingyi","family":"You","sequence":"additional","affiliation":[{"name":"China Electronics Technology Group Corporation No.36 Research Institute, Jiaxing 314033, China"},{"name":"National Key Laboratory of Electromagnetic Space Security, Jiaxing 314033, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1004-386X","authenticated-orcid":false,"given":"Xinlei","family":"Shi","sequence":"additional","affiliation":[{"name":"College of Electronic Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China"},{"name":"Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Nanjing University of Aeronautics and Astronautics, Ministry of Industry and Information Technology, Nanjing 211106, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7555-6877","authenticated-orcid":false,"given":"Yuxin","family":"Sun","sequence":"additional","affiliation":[{"name":"College of Electronic Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China"},{"name":"Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Nanjing University of Aeronautics and Astronautics, Ministry of Industry and Information Technology, Nanjing 211106, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Coluccia, A., and Fascista, A. 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