{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,22]],"date-time":"2026-06-22T20:47:47Z","timestamp":1782161267279,"version":"3.54.5"},"reference-count":48,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"5","license":[{"start":{"date-parts":[[2012,5,1]],"date-time":"2012-05-01T00:00:00Z","timestamp":1335830400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/Crown.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Signal Process."],"published-print":{"date-parts":[[2012,5]]},"DOI":"10.1109\/tsp.2012.2186444","type":"journal-article","created":{"date-parts":[[2012,2,7]],"date-time":"2012-02-07T16:45:14Z","timestamp":1328633114000},"page":"2115-2124","source":"Crossref","is-referenced-by-count":32,"title":["Direction Estimation by Minimum Squared Arc Length"],"prefix":"10.1109","volume":"60","author":[{"given":"Robby G.","family":"McKilliam","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Barry G.","family":"Quinn","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"I. Vaughan L.","family":"Clarkson","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2002.800499"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/70.2.333"},{"key":"ref33","article-title":"A linear-time nearest point algorithm for the lattice <ref_formula><tex Notation=\"TeX\">$A_{n}^{\\ast}$<\/tex> <\/ref_formula>","author":"mckilliam","year":"2008","journal-title":"Proc Int Symp Inf Theory Appl"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2039090"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/ACSSC.2007.4487281"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-010-9910-3_63"},{"key":"ref37","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-05167-2","author":"martinet","year":"2003","journal-title":"Perfect Lattices in Euclidean Spaces"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1982.1056484"},{"key":"ref35","author":"conway","year":"1998","journal-title":"Sphere Packings Lattices and Groups"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"4378","DOI":"10.1109\/TIT.2008.928280","article-title":"An algorithm to compute the nearest point in the lattice <ref_formula><tex Notation=\"TeX\">$A_{n}^{\\ast}$<\/tex> <\/ref_formula>","volume":"54","author":"mckilliam","year":"2008","journal-title":"IEEE Trans Inf Theory"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9290(03)00091-5"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177697731"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1002\/sim.1343"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-246X.1990.tb06570.x"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1080\/03610928108828131"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/26.31154"},{"key":"ref15","article-title":"Robust parameter estimation for periodic point process signals using circular statistics","author":"elton","year":"1996","journal-title":"Proc EUSIPCO"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2007.912268"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2009.4960121"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2008.4518455"},{"key":"ref19","first-page":"1","article-title":"Large sample theory of intrinsic and extrinsic sample means on manifolds I","author":"bhattacharya","year":"2003","journal-title":"Ann Statist"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(94)90012-4"},{"key":"ref4","author":"mardia","year":"1972","journal-title":"Statistics of Directional Data"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/ACSSC.2009.5469871"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.2307\/1403799"},{"key":"ref6","author":"sengupta","year":"2001","journal-title":"Topics in Circular Statistics"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.1994.582823"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511564345"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1126\/science.1095844","article-title":"Migrating songbirds recalibrate their magnetic compass daily from twilight cues","volume":"304","author":"cochran","year":"2004","journal-title":"Sci"},{"key":"ref7","author":"batschelet","year":"1981","journal-title":"Circular Statistics in Biology"},{"key":"ref2","author":"mardia","year":"2000","journal-title":"Directional Statistics"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1038\/nature01226"},{"key":"ref1","author":"mckilliam","year":"2010","journal-title":"Lattice theory circular statistics and polynomial phase signals"},{"key":"ref46","author":"amemiya","year":"1985","journal-title":"Advanced Econometrics"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1214\/009053605000000093"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177704472"},{"key":"ref48","doi-asserted-by":"crossref","DOI":"10.1002\/9780470316962","author":"billingsley","year":"1999","journal-title":"Convergence of Probability Measures"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2007.366864"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/49.3-4.574"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s10851-006-6228-4"},{"key":"ref42","first-page":"93","article-title":"The application of circular statistics to specific radar pulse train detection","volume":"1","author":"elton","year":"1994","journal-title":"Proc EUSIPCO"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.1991.150176"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511754661"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/ICASSP.2010.5495779"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177728190"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511609602"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1016\/0191-8141(89)90012-6"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2010.2045786"}],"container-title":["IEEE Transactions on Signal Processing"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/78\/6181849\/06146444.pdf?arnumber=6146444","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:52:35Z","timestamp":1642006355000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6146444\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,5]]},"references-count":48,"journal-issue":{"issue":"5"},"URL":"https:\/\/doi.org\/10.1109\/tsp.2012.2186444","relation":{},"ISSN":["1053-587X","1941-0476"],"issn-type":[{"value":"1053-587X","type":"print"},{"value":"1941-0476","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,5]]}}}