{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T23:00:31Z","timestamp":1778886031468,"version":"3.51.4"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2024,12,16]],"date-time":"2024-12-16T00:00:00Z","timestamp":1734307200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,12,16]],"date-time":"2024-12-16T00:00:00Z","timestamp":1734307200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"Natural Science Foundation of China","doi-asserted-by":"crossref","award":["62201482"],"award-info":[{"award-number":["62201482"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2025,4]]},"DOI":"10.1007\/s00034-024-02938-1","type":"journal-article","created":{"date-parts":[[2024,12,16]],"date-time":"2024-12-16T08:55:00Z","timestamp":1734339300000},"page":"2762-2778","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["DOA Estimation of Coherent Sources Using Coprime Array via Reweighted Atomic Norm Minimization"],"prefix":"10.1007","volume":"44","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-8528-2501","authenticated-orcid":false,"given":"Xinglong","family":"Shen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,12,16]]},"reference":[{"issue":"9","key":"2938_CR1","doi-asserted-by":"publisher","first-page":"2458","DOI":"10.1109\/78.709534","volume":"46","author":"YI Abramovich","year":"1998","unstructured":"Y.I. Abramovich, D.A. Gray, A.Y. Gorokhov, N.K. Spencer, Positive-definite Toeplitz completion in DOA estimation for nonuniform linear antenna arrays. I. Fully augmentable arrays. IEEE Trans. Signal Process. 46(9), 2458\u20132471 (1998). https:\/\/doi.org\/10.1109\/78.709534","journal-title":"IEEE Trans. Signal Process."},{"issue":"23","key":"2938_CR2","doi-asserted-by":"publisher","first-page":"5987","DOI":"10.1109\/TSP.2013.2273443","volume":"61","author":"BN Bhaskar","year":"2013","unstructured":"B.N. Bhaskar, G. Tang, B. Recht, Atomic norm denoising with applications to line spectral estimation. IEEE Trans. Signal Process. 61(23), 5987\u20135999 (2013). https:\/\/doi.org\/10.1109\/TSP.2013.2273443","journal-title":"IEEE Trans. Signal Process."},{"issue":"11","key":"2938_CR3","doi-asserted-by":"publisher","first-page":"1859","DOI":"10.1109\/TAC.2006.884922","volume":"51","author":"S Boyd","year":"2006","unstructured":"S. Boyd, L. Vandenberghe, L. Faybusovich, Convex optimization. IEEE Trans. Autom. Control 51(11), 1859\u20131859 (2006). https:\/\/doi.org\/10.1109\/TAC.2006.884922","journal-title":"IEEE Trans. Autom. Control"},{"key":"2938_CR4","doi-asserted-by":"publisher","DOI":"10.3390\/s17092149","author":"T Chen","year":"2017","unstructured":"T. Chen, M. Guo, L. Guo, A direct coarray interpolation approach for direction finding. Sensors (2017). https:\/\/doi.org\/10.3390\/s17092149","journal-title":"Sensors"},{"key":"2938_CR5","doi-asserted-by":"publisher","first-page":"877","DOI":"10.1007\/s00041-008-9045-x","volume":"14","author":"EJ Cand\u00e8s","year":"2007","unstructured":"E.J. Cand\u00e8s, M.B. Wakin, S.P. Boyd, Enhancing sparsity by reweighted $$\\ell _{1}$$ minimization. J. Fourier Anal. Appl. 14, 877\u2013905 (2007)","journal-title":"J. Fourier Anal. Appl."},{"key":"2938_CR6","doi-asserted-by":"crossref","unstructured":"M. Fazel, H. Hindi, S.P. Boyd, Log-det heuristic for matrix rank minimization with applications to Hankel and Euclidean distance matrices, in Proceedings of the 2003 American Control Conference, 2003, vol. 3 (2003), pp. 2156\u201321623","DOI":"10.1109\/ACC.2003.1243393"},{"issue":"7","key":"2938_CR7","doi-asserted-by":"publisher","first-page":"3881","DOI":"10.1109\/TSP.2012.2194289","volume":"60","author":"Y Gu","year":"2012","unstructured":"Y. Gu, A. Leshem, Robust adaptive beamforming based on interference covariance matrix reconstruction and steering vector estimation. IEEE Trans. Signal Process. 60(7), 3881\u20133885 (2012). https:\/\/doi.org\/10.1109\/TSP.2012.2194289","journal-title":"IEEE Trans. Signal Process."},{"key":"2938_CR8","unstructured":"M. Grant, S. Boyd, CVX: Matlab Software for Disciplined Convex Programming, version 2.1. https:\/\/cvxr.com\/cvx"},{"key":"2938_CR9","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1109\/LAWP.2005.860194","volume":"4","author":"F-M Han","year":"2005","unstructured":"F.-M. Han, X.-D. Zhang, An esprit-like algorithm for coherent DOA estimation. IEEE Antennas Wirel. Propag. Lett. 4, 443\u2013446 (2005). https:\/\/doi.org\/10.1109\/LAWP.2005.860194","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"issue":"4","key":"2938_CR10","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1109\/79.526899","volume":"13","author":"H Krim","year":"1996","unstructured":"H. Krim, M. Viberg, Two decades of array signal processing research: the parametric approach. IEEE Signal Process. Mag. 13(4), 67\u201394 (1996). https:\/\/doi.org\/10.1109\/79.526899","journal-title":"IEEE Signal Process. Mag."},{"key":"2938_CR11","doi-asserted-by":"crossref","unstructured":"C.-L. Liu, P.P. Vaidyanathan, P. Pal, Coprime coarray interpolation for DOA estimation via nuclear norm minimization, in 2016 IEEE International Symposium on Circuits and Systems (ISCAS) (2016), pp. 2639\u20132642","DOI":"10.1109\/ISCAS.2016.7539135"},{"issue":"3","key":"2938_CR12","doi-asserted-by":"publisher","first-page":"563","DOI":"10.1109\/LCOMM.2019.2958913","volume":"24","author":"D Meng","year":"2020","unstructured":"D. Meng, X. Wang, M. Huang, L. Wan, B. Zhang, Robust weighted subspace fitting for DOA estimation via block sparse recovery. IEEE Commun. Lett. 24(3), 563\u2013567 (2020). https:\/\/doi.org\/10.1109\/LCOMM.2019.2958913","journal-title":"IEEE Commun. Lett."},{"key":"2938_CR13","doi-asserted-by":"crossref","unstructured":"K. Mohan, M. Fazel, Iterative reweighted least squares for matrix rank minimization, in 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton) (2010), pp. 653\u2013661","DOI":"10.1109\/ALLERTON.2010.5706969"},{"issue":"4","key":"2938_CR14","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1109\/MSP.2018.2827108","volume":"35","author":"P Pal","year":"2018","unstructured":"P. Pal, Correlation awareness in low-rank models: sampling, algorithms, and fundamental limits. IEEE Signal Process. Mag. 35(4), 56\u201371 (2018). https:\/\/doi.org\/10.1109\/MSP.2018.2827108","journal-title":"IEEE Signal Process. Mag."},{"issue":"8","key":"2938_CR15","doi-asserted-by":"publisher","first-page":"4167","DOI":"10.1109\/TSP.2010.2049264","volume":"58","author":"P Pal","year":"2010","unstructured":"P. Pal, P.P. Vaidyanathan, Nested arrays: a novel approach to array processing with enhanced degrees of freedom. IEEE Trans. Signal Process. 58(8), 4167\u20134181 (2010). https:\/\/doi.org\/10.1109\/TSP.2010.2049264","journal-title":"IEEE Trans. Signal Process."},{"issue":"1","key":"2938_CR16","doi-asserted-by":"publisher","first-page":"8","DOI":"10.1109\/29.17496","volume":"37","author":"SU Pillai","year":"1989","unstructured":"S.U. Pillai, B.H. Kwon, Forward\/backward spatial smoothing techniques for coherent signal identification. IEEE Trans. Acoust. Speech Signal Process. 37(1), 8\u201315 (1989). https:\/\/doi.org\/10.1109\/29.17496","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"key":"2938_CR17","doi-asserted-by":"crossref","unstructured":"H. Qiao, P. Pal, Unified analysis of co-array interpolation for direction-of-arrival estimation, in 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) (2017), pp. 3056\u20133060","DOI":"10.1109\/ICASSP.2017.7952718"},{"issue":"5","key":"2938_CR18","doi-asserted-by":"publisher","first-page":"703","DOI":"10.1109\/LSP.2017.2690601","volume":"24","author":"H Qiao","year":"2017","unstructured":"H. Qiao, P. Pal, On maximum-likelihood methods for localizing more sources than sensors. IEEE Signal Process. Lett. 24(5), 703\u2013706 (2017). https:\/\/doi.org\/10.1109\/LSP.2017.2690601","journal-title":"IEEE Signal Process. Lett."},{"issue":"7","key":"2938_CR19","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). https:\/\/doi.org\/10.1109\/29.32276","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"key":"2938_CR20","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.dsp.2014.06.010","volume":"33","author":"P Stoica","year":"2014","unstructured":"P. Stoica, D. Zachariah, J. Li, Weighted spice: a unifying approach for hyperparameter-free sparse estimation. Digit. Signal Process. 33, 1\u201312 (2014). https:\/\/doi.org\/10.1016\/j.dsp.2014.06.010","journal-title":"Digit. Signal Process."},{"issue":"7","key":"2938_CR21","doi-asserted-by":"publisher","first-page":"1580","DOI":"10.1016\/j.sigpro.2011.11.010","volume":"92","author":"P Stoica","year":"2012","unstructured":"P. Stoica, P. Babu, Spice and likes: two hyperparameter-free methods for sparse-parameter estimation. Signal Process. 92(7), 1580\u20131590 (2012). https:\/\/doi.org\/10.1016\/j.sigpro.2011.11.010","journal-title":"Signal Process."},{"issue":"3","key":"2938_CR22","doi-asserted-by":"publisher","first-page":"276","DOI":"10.1109\/TAP.1986.1143830","volume":"34","author":"R Schmidt","year":"1986","unstructured":"R. Schmidt, Multiple emitter location and signal parameter estimation. IEEE Trans. Antennas Propag. 34(3), 276\u2013280 (1986). https:\/\/doi.org\/10.1109\/TAP.1986.1143830","journal-title":"IEEE Trans. Antennas Propag."},{"issue":"3","key":"2938_CR23","doi-asserted-by":"publisher","first-page":"378","DOI":"10.1109\/29.21705","volume":"37","author":"P Stoica","year":"1989","unstructured":"P. Stoica, R.L. Moses, B. Friedlander, T. Soderstrom, Maximum likelihood estimation of the parameters of multiple sinusoids from noisy measurements. IEEE Trans. Acoust. Speech Signal Process. 37(3), 378\u2013392 (1989). https:\/\/doi.org\/10.1109\/29.21705","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"21","key":"2938_CR24","doi-asserted-by":"publisher","first-page":"5565","DOI":"10.1109\/TSP.2014.2354316","volume":"62","author":"Z Tan","year":"2014","unstructured":"Z. Tan, Y.C. Eldar, A. Nehorai, Direction of arrival estimation using co-prime arrays: a super resolution viewpoint. IEEE Trans. Signal Process. 62(21), 5565\u20135576 (2014). https:\/\/doi.org\/10.1109\/TSP.2014.2354316","journal-title":"IEEE Trans. Signal Process."},{"issue":"1","key":"2938_CR25","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1109\/TIT.2014.2368122","volume":"61","author":"G Tang","year":"2015","unstructured":"G. Tang, B.N. Bhaskar, B. Recht, Near minimax line spectral estimation. IEEE Trans. Inf. Theory 61(1), 499\u2013512 (2015). https:\/\/doi.org\/10.1109\/TIT.2014.2368122","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"11","key":"2938_CR26","doi-asserted-by":"publisher","first-page":"7465","DOI":"10.1109\/TIT.2013.2277451","volume":"59","author":"G Tang","year":"2013","unstructured":"G. Tang, B.N. Bhaskar, P. Shah, B. Recht, Compressed sensing off the grid. IEEE Trans. Inf. Theory 59(11), 7465\u20137490 (2013). https:\/\/doi.org\/10.1109\/TIT.2013.2277451","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"2938_CR27","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1109\/TSP.2010.2089682","volume":"59","author":"PP Vaidyanathan","year":"2011","unstructured":"P.P. Vaidyanathan, P. Pal, Sparse sensing with co-prime samplers and arrays. IEEE Trans. Signal Process. 59(2), 573\u2013586 (2011). https:\/\/doi.org\/10.1109\/TSP.2010.2089682","journal-title":"IEEE Trans. Signal Process."},{"issue":"4","key":"2938_CR28","doi-asserted-by":"publisher","first-page":"933","DOI":"10.1109\/TSP.2016.2626255","volume":"65","author":"M Wang","year":"2017","unstructured":"M. Wang, A. Nehorai, Coarrays, music, and the Cram\u00e9r\u2013Rao bound. IEEE Trans. Signal Process. 65(4), 933\u2013946 (2017). https:\/\/doi.org\/10.1109\/TSP.2016.2626255","journal-title":"IEEE Trans. Signal Process."},{"key":"2938_CR29","doi-asserted-by":"crossref","unstructured":"X. Wang, X. Wang, X. Lin, Co-prime array processing with sum and difference co-array, in 2015 49th Asilomar Conference on Signals, Systems and Computers (2015), pp. 380\u2013384","DOI":"10.1109\/ACSSC.2015.7421152"},{"issue":"2","key":"2938_CR30","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1109\/JSTSP.2010.2042413","volume":"4","author":"D Wipf","year":"2010","unstructured":"D. Wipf, S. Nagarajan, Iterative reweighted $$\\ell _1$$ and $$\\ell _2$$ methods for finding sparse solutions. IEEE J. Sel. Top. Signal Process. 4(2), 317\u2013329 (2010). https:\/\/doi.org\/10.1109\/JSTSP.2010.2042413","journal-title":"IEEE J. Sel. Top. Signal Process."},{"issue":"2","key":"2938_CR31","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1109\/JSTSP.2010.2042413","volume":"4","author":"D Wipf","year":"2010","unstructured":"D. Wipf, S. Nagarajan, Iterative reweighted $$\\ell _1$$ and $$\\ell _2$$ methods for finding sparse solutions. IEEE J. Sel. Top. Signal Process. 4(2), 317\u2013329 (2010). https:\/\/doi.org\/10.1109\/JSTSP.2010.2042413","journal-title":"IEEE J. Sel. Top. Signal Process."},{"issue":"9","key":"2938_CR32","doi-asserted-by":"publisher","first-page":"8223","DOI":"10.1109\/TVT.2017.2695226","volume":"66","author":"X Wu","year":"2017","unstructured":"X. Wu, W.-P. Zhu, J. Yan, A Toeplitz covariance matrix reconstruction approach for direction-of-arrival estimation. IEEE Trans. Veh. Technol. 66(9), 8223\u20138237 (2017). https:\/\/doi.org\/10.1109\/TVT.2017.2695226","journal-title":"IEEE Trans. Veh. Technol."},{"key":"2938_CR33","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1016\/j.dsp.2017.06.013","volume":"69","author":"X Wang","year":"2017","unstructured":"X. Wang, Z. Chen, S. Ren, S. Cao, DOA estimation based on the difference and sum coarray for coprime arrays. Digit. Signal Process. 69, 22\u201331 (2017)","journal-title":"Digit. Signal Process."},{"key":"2938_CR34","doi-asserted-by":"publisher","DOI":"10.3390\/s23198048","author":"M Yang","year":"2023","unstructured":"M. Yang, Y. Zhang, Y. Sun, X. Zhang, An enhanced spatial smoothing technique of coherent DOA estimation with moving coprime array. Sensors (2023). https:\/\/doi.org\/10.3390\/s23198048","journal-title":"Sensors"},{"issue":"4","key":"2938_CR35","doi-asserted-by":"publisher","first-page":"995","DOI":"10.1109\/TSP.2015.2493987","volume":"64","author":"Z Yang","year":"2016","unstructured":"Z. Yang, L. Xie, Enhancing sparsity and resolution via reweighted atomic norm minimization. IEEE Trans. Signal Process. 64(4), 995\u20131006 (2016). https:\/\/doi.org\/10.1109\/TSP.2015.2493987","journal-title":"IEEE Trans. Signal Process."},{"key":"2938_CR36","doi-asserted-by":"publisher","unstructured":"Z. Yang, L. Xie, Continuous compressed sensing with a single or multiple measurement vectors, 288\u2013291 (2014). https:\/\/doi.org\/10.1109\/SSP.2014.6884632","DOI":"10.1109\/SSP.2014.6884632"},{"issue":"19","key":"2938_CR37","doi-asserted-by":"publisher","first-page":"5145","DOI":"10.1109\/TSP.2016.2576422","volume":"64","author":"Z Yang","year":"2016","unstructured":"Z. Yang, L. Xie, Exact joint sparse frequency recovery via optimization methods. IEEE Trans. Signal Process. 64(19), 5145\u20135157 (2016). https:\/\/doi.org\/10.1109\/TSP.2016.2576422","journal-title":"IEEE Trans. Signal Process."},{"issue":"19","key":"2938_CR38","doi-asserted-by":"publisher","first-page":"4959","DOI":"10.1109\/TSP.2014.2339792","volume":"62","author":"Z Yang","year":"2014","unstructured":"Z. Yang, L. Xie, C. Zhang, A discretization-free sparse and parametric approach for linear array signal processing. IEEE Trans. Signal Process. 62(19), 4959\u20134973 (2014). https:\/\/doi.org\/10.1109\/TSP.2014.2339792","journal-title":"IEEE Trans. Signal Process."},{"key":"2938_CR39","doi-asserted-by":"publisher","first-page":"1719","DOI":"10.1049\/iet-com.2016.1048","volume":"11","author":"C Zhou","year":"2017","unstructured":"C. Zhou, Y. Gu, Y.D. Zhang, Z. Shi, T. Jin, X. Wu, Compressive sensing-based coprime array direction-of-arrival estimation. IET Commun. 11, 1719\u20131724 (2017)","journal-title":"IET Commun."},{"key":"2938_CR40","doi-asserted-by":"publisher","first-page":"1312","DOI":"10.1109\/LSP.2022.3179336","volume":"29","author":"X Zhang","year":"2022","unstructured":"X. Zhang, Z. Zheng, W.-Q. Wang, H.C. So, DOA estimation of coherent sources using coprime array via atomic norm minimization. IEEE Signal Process. Lett. 29, 1312\u20131316 (2022). https:\/\/doi.org\/10.1109\/LSP.2022.3179336","journal-title":"IEEE Signal Process. Lett."},{"key":"2938_CR41","doi-asserted-by":"publisher","first-page":"585","DOI":"10.1109\/LSP.2020.2982769","volume":"27","author":"Z Zheng","year":"2020","unstructured":"Z. Zheng, Y. Huang, W.-Q. Wang, H.C. So, Direction-of-arrival estimation of coherent signals via coprime array interpolation. IEEE Signal Process. Lett. 27, 585\u2013589 (2020). https:\/\/doi.org\/10.1109\/LSP.2020.2982769","journal-title":"IEEE Signal Process. Lett."},{"issue":"22","key":"2938_CR42","doi-asserted-by":"publisher","first-page":"5956","DOI":"10.1109\/TSP.2018.2872012","volume":"66","author":"C Zhou","year":"2018","unstructured":"C. Zhou, Y. Gu, X. Fan, Z. Shi, G. Mao, Y.D. Zhang, Direction-of-arrival estimation for coprime array via virtual array interpolation. IEEE Trans. Signal Process. 66(22), 5956\u20135971 (2018). https:\/\/doi.org\/10.1109\/TSP.2018.2872012","journal-title":"IEEE Trans. Signal Process."},{"issue":"11","key":"2938_CR43","doi-asserted-by":"publisher","first-page":"1710","DOI":"10.1109\/LSP.2018.2872400","volume":"25","author":"C Zhou","year":"2018","unstructured":"C. Zhou, Y. Gu, Z. Shi, Y.D. Zhang, Off-grid direction-of-arrival estimation using coprime array interpolation. IEEE Signal Process. Lett. 25(11), 1710\u20131714 (2018). https:\/\/doi.org\/10.1109\/LSP.2018.2872400","journal-title":"IEEE Signal Process. Lett."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-024-02938-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-024-02938-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-024-02938-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,18]],"date-time":"2025-03-18T16:20:32Z","timestamp":1742314832000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-024-02938-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,16]]},"references-count":43,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2025,4]]}},"alternative-id":["2938"],"URL":"https:\/\/doi.org\/10.1007\/s00034-024-02938-1","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,12,16]]},"assertion":[{"value":"13 June 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 November 2024","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 November 2024","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 December 2024","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}