{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:21:08Z","timestamp":1760955668808,"version":"3.37.3"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,12,1]],"date-time":"2016-12-01T00:00:00Z","timestamp":1480550400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100004543","name":"China Scholarship Council","doi-asserted-by":"publisher","award":["201506030035"],"award-info":[{"award-number":["201506030035"]}],"id":[{"id":"10.13039\/501100004543","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["EURASIP J. Adv. Signal Process."],"published-print":{"date-parts":[[2016,12]]},"DOI":"10.1186\/s13634-016-0426-z","type":"journal-article","created":{"date-parts":[[2016,12,7]],"date-time":"2016-12-07T12:18:12Z","timestamp":1481113092000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Fractional difference co-array perspective for wideband signal DOA estimation"],"prefix":"10.1186","volume":"2016","author":[{"given":"Jian-Yan","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yi-Long","family":"Lu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yan-Mei","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei-Jiang","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,12,7]]},"reference":[{"issue":"3","key":"426_CR1","doi-asserted-by":"publisher","first-page":"530","DOI":"10.1109\/JPROC.2016.2515842","volume":"104","author":"SH Talisa","year":"2016","unstructured":"SH Talisa, KW O\u2019Haver, TM Comberiate, MD Sharp, OF Somerlock, Benefits of digital phased array radars. Proc. IEEE. 104(3), 530\u2013543 (2016).","journal-title":"Proc. IEEE"},{"issue":"3","key":"426_CR2","doi-asserted-by":"publisher","first-page":"276","DOI":"10.1109\/TAP.1986.1143830","volume":"34","author":"RO Schmidt","year":"1986","unstructured":"RO Schmidt, Multiple emitter location and signal parameter estimation. IEEE Trans. Antennas Propag. 34(3), 276\u2013280 (1986).","journal-title":"IEEE Trans. Antennas Propag"},{"issue":"7","key":"426_CR3","doi-asserted-by":"publisher","first-page":"984","DOI":"10.1109\/29.32276","volume":"37","author":"R Roy","year":"1989","unstructured":"R Roy, T Kailath, Esprit-estimation of signal parameters via rotational invariance techniques. IEEE Trans. Acoust. Speech Signal Process. 37(7), 984\u2013995 (1989).","journal-title":"IEEE Trans. Acoust. Speech Signal Process"},{"issue":"2","key":"426_CR4","doi-asserted-by":"publisher","first-page":"172","DOI":"10.1109\/TAP.1968.1139138","volume":"16","author":"A Moffet","year":"1968","unstructured":"A Moffet, Minimum-redundancy linear arrays. IEEE Trans. Antennas Propag. 16(2), 172\u2013175 (1968).","journal-title":"IEEE Trans. Antennas Propag"},{"issue":"1","key":"426_CR5","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1109\/PROC.1986.13435","volume":"74","author":"E Vertatschitsch","year":"1986","unstructured":"E Vertatschitsch, S Haykin, Nonredundant arrays. Proc. IEEE. 74(1), 217\u2013217 (1986).","journal-title":"Proc. IEEE"},{"issue":"10","key":"426_CR6","doi-asserted-by":"publisher","first-page":"1522","DOI":"10.1109\/PROC.1985.13324","volume":"73","author":"SU Pillai","year":"1985","unstructured":"SU Pillai, Y Bar-Ness, F Haber, A new approach to array geometry for improved spatial spectrum estimation. Proc. IEEE. 73(10), 1522\u20131524 (1985).","journal-title":"Proc. IEEE"},{"issue":"11","key":"426_CR7","doi-asserted-by":"publisher","first-page":"1517","DOI":"10.1109\/TASSP.1987.1165068","volume":"35","author":"SU Pillai","year":"1987","unstructured":"SU Pillai, F Haber, Statistical analysis of a high resolution spatial spectrum estimator utilizing an augmented covariance matrix. IEEE Trans. Acoust. Speech Signal Process. 35(11), 1517\u20131523 (1987).","journal-title":"IEEE Trans. Acoust. Speech Signal Process"},{"issue":"5","key":"426_CR8","doi-asserted-by":"publisher","first-page":"959","DOI":"10.1109\/78.917800","volume":"49","author":"YI Abramovich","year":"2001","unstructured":"YI Abramovich, NK Spencer, AY Gorokhov, Detection-estimation of more uncorrelated Gaussian sources than sensors in nonuniform linear antenna arrays.I. fully augmentable arrays. IEEE Trans. Signal Process. 49(5), 959\u2013971 (2001).","journal-title":"IEEE Trans. Signal Process"},{"key":"426_CR9","volume-title":"MIMO Radar Signal Processing","author":"J Li","year":"2009","unstructured":"J Li, P Stoica, MIMO Radar Signal Processing (John Wiley and Sons Press, USA, 2009)."},{"issue":"8","key":"426_CR10","doi-asserted-by":"publisher","first-page":"4167","DOI":"10.1109\/TSP.2010.2049264","volume":"58","author":"P Pal","year":"2010","unstructured":"P Pal, PP Vaidyanathan, Nested arrays: a novel approach to array processing with enhanced degrees of freedom. IEEE Trans. Signal Process. 58(8), 4167\u20134181 (2010).","journal-title":"IEEE Trans. Signal Process"},{"issue":"2","key":"426_CR11","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1109\/TSP.2010.2089682","volume":"59","author":"PP Vaidyanathan","year":"2011","unstructured":"PP Vaidyanathan, P Pal, Sparse sensing with co-prime samplers and arrays. IEEE Trans. Signal Process. 59(2), 573\u2013586 (2011).","journal-title":"IEEE Trans. Signal Process"},{"issue":"6","key":"426_CR12","doi-asserted-by":"publisher","first-page":"1377","DOI":"10.1109\/TSP.2015.2393838","volume":"63","author":"S Qin","year":"2015","unstructured":"S Qin, YD Zhang, MG Amin, Generalized coprime array configurations for direction-of-arrival estimation. IEEE Trans. Signal Process. 63(6), 1377\u20131390 (2015).","journal-title":"IEEE Trans. Signal Process"},{"issue":"15","key":"426_CR13","doi-asserted-by":"publisher","first-page":"3997","DOI":"10.1109\/TSP.2016.2558159","volume":"64","author":"CL Liu","year":"2016","unstructured":"CL Liu, PP Vaidyanathan, Super nested arrays: linear sparse arrays with reduced mutual coupling-part i: Fundamentals. IEEE Trans. Signal Process. 64(15), 3997\u20134012 (2016).","journal-title":"IEEE Trans. Signal Process"},{"issue":"16","key":"426_CR14","doi-asserted-by":"publisher","first-page":"4203","DOI":"10.1109\/TSP.2016.2558167","volume":"64","author":"CL Liu","year":"2016","unstructured":"CL Liu, PP Vaidyanathan, Super nested arrays: linear sparse arrays with reduced mutual coupling-part ii: High-order extensions. IEEE Trans. Signal Process. 64(16), 4203\u20134217 (2016).","journal-title":"IEEE Trans. Signal Process"},{"issue":"12","key":"426_CR15","doi-asserted-by":"publisher","first-page":"3435","DOI":"10.1016\/j.sigpro.2013.04.011","volume":"93","author":"DD Ariananda","year":"2013","unstructured":"DD Ariananda, G Leus, Direction of arrival estimation for more correlated sources than active sensors. Signal Process.93(12), 3435\u20133448 (2013).","journal-title":"Signal Process."},{"issue":"14","key":"426_CR16","doi-asserted-by":"publisher","first-page":"3797","DOI":"10.1109\/TSP.2015.2432734","volume":"63","author":"E BouDaher","year":"2015","unstructured":"E BouDaher, Y Jia, F Ahmad, MG Amin, Multi-frequency co-prime arrays for high-resolution direction-of-arrival estimation. IEEE Trans. Signal Process. 63(14), 3797\u20133808 (2015).","journal-title":"IEEE Trans. Signal Process"},{"issue":"1","key":"426_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1186\/1687-6180-2014-168","volume":"2014","author":"E BouDaher","year":"2014","unstructured":"E BouDaher, F Ahmad, MG Amin, Sparse reconstruction for direction-of-arrival estimation using multi-frequency co-prime arrays. EURASIP J. Adv. Signal Process. 2014(1), 1\u201311 (2014).","journal-title":"EURASIP J. Adv. Signal Process"},{"issue":"10","key":"426_CR18","doi-asserted-by":"publisher","first-page":"1628","DOI":"10.1109\/LSP.2015.2417807","volume":"22","author":"E BouDaher","year":"2015","unstructured":"E BouDaher, F Ahmad, MG Amin, Sparsity-based direction finding of coherent and uncorrelated targets using active nonuniform arrays. IEEE Signal Process. Lett. 22(10), 1628\u20131632 (2015).","journal-title":"IEEE Signal Process. Lett"},{"issue":"1","key":"426_CR19","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1109\/MSP.2015.2486805","volume":"33","author":"D Romero","year":"2016","unstructured":"D Romero, DD Ariananda, Z Tian, G Leus, Compressive covariance sensing: structure-based compressive sensing beyond sparsity. IEEE Signal Process. Mag. 33(1), 78\u201393 (2016).","journal-title":"IEEE Signal Process. Mag"},{"key":"426_CR20","doi-asserted-by":"publisher","first-page":"1663","DOI":"10.1109\/ACSSC.2009.5469796","volume-title":"Signals, Systems and Computers, 2009 Conference Record of the Forty-Third Asilomar Conference on","author":"P Pal","year":"2009","unstructured":"P Pal, PP Vaidyanathan, in Signals, Systems and Computers, 2009 Conference Record of the Forty-Third Asilomar Conference on. A novel autofocusing approach for estimating directions-of-arrival of wideband signals (IEEEPacific Grove, 2009), pp. 1663\u20131667."},{"issue":"10","key":"426_CR21","doi-asserted-by":"publisher","first-page":"2605","DOI":"10.1109\/78.640730","volume":"45","author":"G Gelli","year":"1997","unstructured":"G Gelli, L Izzo, Minimum-redundancy linear arrays for cyclostationarity-based source location. IEEE Trans. Signal Process. 45(10), 2605\u20132608 (1997).","journal-title":"IEEE Trans. Signal Process"},{"key":"426_CR22","volume-title":"Matrix Differential Calculus with Applications in Statistics and Econometrics","author":"MJ R","year":"2007","unstructured":"MJ R, N Heinz, Matrix Differential Calculus with Applications in Statistics and Econometrics (John Wiley and Sons Press, USA, 2007)."},{"issue":"1","key":"426_CR23","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1111\/j.2517-6161.1996.tb02080.x","volume":"58","author":"R Tibshirani","year":"1996","unstructured":"R Tibshirani, Regression shrinkage and selection via the lasso. J. Roy. Statist. Soc. Ser. B Methodol. 58(1), 267\u2013288 (1996).","journal-title":"J. Roy. Statist. Soc. Ser. B Methodol"},{"issue":"4","key":"426_CR24","doi-asserted-by":"publisher","first-page":"806","DOI":"10.1109\/TASSP.1985.1164649","volume":"33","author":"T-J Shan","year":"1985","unstructured":"T-J Shan, M Wax, T Kailath, On spatial smoothing for direction-of-arrival estimation of coherent signals. IEEE Trans. Acoust. Speech Signal Process. 33(4), 806\u2013811 (1985).","journal-title":"IEEE Trans. Acoust. Speech Signal Process"},{"issue":"9","key":"426_CR25","doi-asserted-by":"publisher","first-page":"1438","DOI":"10.1109\/LSP.2015.2409153","volume":"22","author":"C-L Liu","year":"2015","unstructured":"C-L Liu, PP Vaidyanathan, Remarks on the spatial smoothing step in coarray music. IEEE Signal Process. Lett. 22(9), 1438\u20131442 (2015).","journal-title":"IEEE Signal Process. Lett"},{"issue":"9","key":"426_CR26","doi-asserted-by":"publisher","first-page":"1445","DOI":"10.1109\/TASLP.2015.2436214","volume":"23","author":"Q Shen","year":"2015","unstructured":"Q Shen, W Liu, W Cui, S Wu, YD Zhang, MG Amin, Low-complexity direction-of-arrival estimation based on wideband co-prime arrays. IEEE\/ACM Trans. Audio Speech Lang. Process. 23(9), 1445\u20131456 (2015).","journal-title":"IEEE\/ACM Trans. Audio Speech Lang. Process"},{"key":"426_CR27","unstructured":"M Grant, S Boyd, CVX: Matlab Software for Disciplined Convex Programming, version 2.1 (2014), http:\/\/cvxr.com\/cvx . Accessed 19 July 2016."},{"key":"426_CR28","doi-asserted-by":"crossref","unstructured":"M Grant, S Boyd, in Recent Advances in Learning and Control. Lecture Notes in Control and Information Sciences, ed. by V Blondel, S Boyd, and H Kimura. Graph implementations for nonsmooth convex programs (Springer LondonLondon, 2008), pp. 95\u2013110. http:\/\/stanford.edu\/~boyd\/graph_dcp.html .","DOI":"10.1007\/978-1-84800-155-8_7"}],"container-title":["EURASIP Journal on Advances in Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s13634-016-0426-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1186\/s13634-016-0426-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s13634-016-0426-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,21]],"date-time":"2024-06-21T01:41:58Z","timestamp":1718934118000},"score":1,"resource":{"primary":{"URL":"https:\/\/asp-eurasipjournals.springeropen.com\/articles\/10.1186\/s13634-016-0426-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,12]]}},"alternative-id":["426"],"URL":"https:\/\/doi.org\/10.1186\/s13634-016-0426-z","relation":{},"ISSN":["1687-6180"],"issn-type":[{"type":"electronic","value":"1687-6180"}],"subject":[],"published":{"date-parts":[[2016,12]]},"article-number":"133"}}