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Taking advantage of the tensor permutation, we convert the sample covariance matrix of the receive data into a tensorial form which provides enhanced degree-of-freedom. Moreover, the parameter estimation issue with the proposed model boils down to a Vandermonde constraint Canonical Polyadic Decomposition problem. The structured least squares estimation of signal parameters via rotational invariance techniques is tailored for joint auto-pairing elevation, azimuth, and polarization estimation, ending up with a computational efficient method that avoids exhaustive searching over spatial and polarization region. Furthermore, the sufficient uniqueness analysis of our proposed approach is addressed, and the stochastic Cram\u00e9r-Rao bound for underdetermined parameter estimation is derived. Simulation results are given to verify the effectiveness of the proposed method.<\/jats:p>","DOI":"10.1186\/s13638-020-01764-8","type":"journal-article","created":{"date-parts":[[2020,7,27]],"date-time":"2020-07-27T13:04:09Z","timestamp":1595855049000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Elevation, azimuth, and polarization estimation with nested electromagnetic vector-sensor arrays via tensor modeling"],"prefix":"10.1186","volume":"2020","author":[{"given":"Ming-Yang","family":"Cao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7905-2262","authenticated-orcid":false,"given":"Xingpeng","family":"Mao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lei","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2020,7,27]]},"reference":[{"key":"1764_CR1","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1016\/j.sigpro.2018.01.025","volume":"147","author":"S. 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