{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:02:41Z","timestamp":1740135761256,"version":"3.37.3"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2021,10,28]],"date-time":"2021-10-28T00:00:00Z","timestamp":1635379200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,10,28]],"date-time":"2021-10-28T00:00:00Z","timestamp":1635379200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100014717","name":"National Outstanding Youth Science Fund Project of National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61402004","61402003"],"award-info":[{"award-number":["61402004","61402003"]}],"id":[{"id":"10.13039\/100014717","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2022,2]]},"DOI":"10.1007\/s00034-021-01825-3","type":"journal-article","created":{"date-parts":[[2021,10,28]],"date-time":"2021-10-28T12:02:36Z","timestamp":1635422556000},"page":"1052-1073","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Signal Decomposition Algorithm Based on Multiple Complex AMFM Model"],"prefix":"10.1007","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5407-5241","authenticated-orcid":false,"given":"De","family":"Zhu","sequence":"first","affiliation":[]},{"given":"Qingwei","family":"Gao","sequence":"additional","affiliation":[]},{"given":"Yixiang","family":"Lu","sequence":"additional","affiliation":[]},{"given":"Dong","family":"Sun","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,10,28]]},"reference":[{"key":"1825_CR1","unstructured":"Bat. https:\/\/cpb-us-e1.wpmucdn.com\/blogs.rice.edu\/dist\/0\/7717\/files\/software\/batsignal.zip."},{"issue":"5","key":"1825_CR2","doi-asserted-by":"publisher","first-page":"868","DOI":"10.1109\/PROC.1963.2308","volume":"51","author":"E Bedrosian","year":"1963","unstructured":"E. Bedrosian, A product theorem for Hilbert transform. Proc. IEEE 51(5), 868\u2013869 (1963). https:\/\/doi.org\/10.1109\/PROC.1963.2308","journal-title":"Proc. IEEE"},{"key":"1825_CR3","doi-asserted-by":"publisher","first-page":"344","DOI":"10.1016\/j.sigpro.2013.11.034","volume":"98","author":"CY Chen","year":"2014","unstructured":"C.Y. Chen, S.M. Guo, W.S. Chang et al., An improved bidimensional empirical mode decomposition: a mean approach for fast decomposition. Signal Process. 98, 344\u2013358 (2014). https:\/\/doi.org\/10.1016\/j.sigpro.2013.11.034","journal-title":"Signal Process."},{"issue":"22","key":"1825_CR4","doi-asserted-by":"publisher","first-page":"6024","DOI":"10.1109\/TSP.2017.2731300","volume":"65","author":"SQ Chen","year":"2017","unstructured":"S.Q. Chen, X.J. Dong, Z.K. Peng et al., Nonlinear chirp mode decomposition: a variational method. IEEE Trans. Signal Process. 65(22), 6024\u20136037 (2017). https:\/\/doi.org\/10.1109\/TSP.2017.2731300","journal-title":"IEEE Trans. Signal Process."},{"key":"1825_CR5","doi-asserted-by":"publisher","first-page":"5994","DOI":"10.1109\/JSEN.2017.2737467","volume":"17","author":"SQ Chen","year":"2017","unstructured":"S.Q. Chen, X.J. Dong, G.P. Xing et al., Separation of overlapped non-stationary signals by ridge path regrouping and intrinsic chirp component decomposition. IEEE Sens. J. 17, 5994\u20136005 (2017). https:\/\/doi.org\/10.1109\/JSEN.2017.2737467","journal-title":"IEEE Sens. J."},{"issue":"1","key":"1825_CR6","doi-asserted-by":"publisher","first-page":"566","DOI":"10.1016\/j.ymssp.2018.06.052","volume":"116","author":"SQ Chen","year":"2019","unstructured":"S.Q. Chen, Y. Yang, Z.K. Peng et al., Adaptive chirp mode pursuit: algorithm and applications. Mech. Syst. Signal Process. 116(1), 566\u2013584 (2019). https:\/\/doi.org\/10.1016\/j.ymssp.2018.06.052","journal-title":"Mech. Syst. Signal Process."},{"issue":"2","key":"1825_CR7","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1016\/j.acha.2010.08.002","volume":"30","author":"I Daubechies","year":"2011","unstructured":"I. Daubechies, J.F. Lu, H.T. Wu, Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool. Appl. Comput. Harmon. Anal. 30(2), 243\u2013261 (2011). https:\/\/doi.org\/10.1016\/j.acha.2010.08.002","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"1825_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0097-0","volume-title":"Wavelet Transforms and their Applications","author":"L Debnath","year":"2002","unstructured":"L. Debnath, Wavelet Transforms and Their Applications (Springer, Birkh\u00e4user, 2002)"},{"key":"1825_CR9","unstructured":"Discovery of Sound in the Sea. 2002. [Online]. Available: https:\/\/dosits.org\/resources\/ resource-categories\/feature-sounds\/haunting-refrains-humpback\/."},{"key":"1825_CR10","first-page":"197","volume-title":"Two-Dimensional Variational Mode Decomposition","author":"K Dragomiretskiy","year":"2015","unstructured":"K. Dragomiretskiy, D. Zosso, Two-Dimensional Variational Mode Decomposition (Springer, Cham, 2015), pp. 197\u2013208"},{"issue":"3","key":"1825_CR11","doi-asserted-by":"publisher","first-page":"531","DOI":"10.1109\/TSP.2013.2288675","volume":"62","author":"K Dragomiretskiy","year":"2014","unstructured":"K. Dragomiretskiy, D. Zosso, Variational mode decomposition. IEEE Trans. Signal Process. 62(3), 531\u2013544 (2014). https:\/\/doi.org\/10.1109\/TSP.2013.2288675","journal-title":"IEEE Trans. Signal Process."},{"key":"1825_CR12","doi-asserted-by":"publisher","unstructured":"F.L. Gall. Powers of tensors and fast matrix multiplication. Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation. 296\u2013303 (2014). https:\/\/doi.org\/10.1145\/2608628.2608664.","DOI":"10.1145\/2608628.2608664"},{"key":"1825_CR13","doi-asserted-by":"publisher","first-page":"180","DOI":"10.1016\/j.neucom.2013.04.057","volume":"137","author":"QW Gao","year":"2014","unstructured":"Q.W. Gao, D. Zhu, D. Sun et al., A denoising method based on null space pursuit for infrared spectrum. Neurocomputing 137, 180\u2013184 (2014). https:\/\/doi.org\/10.1016\/j.neucom.2013.04.057","journal-title":"Neurocomputing"},{"key":"1825_CR14","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1016\/j.sigpro.2016.09.015","volume":"132","author":"BK Guo","year":"2017","unstructured":"B.K. Guo, S.L. Peng, X.Y. Xu, Complex-valued differential operator-based method for multi-component signal separation. Signal Process. 132, 66\u201376 (2017). https:\/\/doi.org\/10.1016\/j.sigpro.2016.09.015","journal-title":"Signal Process."},{"issue":"9","key":"1825_CR15","doi-asserted-by":"publisher","first-page":"1383","DOI":"10.1109\/LSP.2014.2352340","volume":"22","author":"XY Hu","year":"2015","unstructured":"X.Y. Hu, S.L. Peng, W.L. Hwang, Adaptive integral operators for signal separation. IEEE Signal Process. Lett. 22(9), 1383\u20131387 (2015). https:\/\/doi.org\/10.1109\/LSP.2014.2352340","journal-title":"IEEE Signal Process. Lett."},{"key":"1825_CR16","doi-asserted-by":"publisher","first-page":"1093","DOI":"10.1007\/s11760-012-0354-9","volume":"7","author":"XY Hu","year":"2013","unstructured":"X.Y. Hu, S.L. Peng, W.L. Hwang, Multicomponent AM-FM signal separation and demodulation with null space pursuit. Signal, Image Video Process. 7, 1093\u20131102 (2013). https:\/\/doi.org\/10.1007\/s11760-012-0354-9","journal-title":"Signal, Image Video Process."},{"key":"1825_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1109\/MLSP.2011.6064592","volume":"18","author":"XY Hu","year":"2011","unstructured":"X.Y. Hu, S.L. Peng, W.L. Hwang, Operator based multicomponent AM-FM signal separation approach. IEEE Int. Workshop Mach. Learn. Signal Process. 18, 1\u20136 (2011). https:\/\/doi.org\/10.1109\/MLSP.2011.6064592","journal-title":"IEEE Int. Workshop Mach. Learn. Signal Process."},{"key":"1825_CR18","doi-asserted-by":"publisher","first-page":"903","DOI":"10.1098\/rspa.1998.0193","volume":"454","author":"NE Huang","year":"1998","unstructured":"N.E. Huang, Z. Shen, S.R. Long et al., The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc. Math. Phys. Eng. Sci. 454, 903\u2013995 (1998). https:\/\/doi.org\/10.1098\/rspa.1998.0193","journal-title":"Proc. Math. Phys. Eng. Sci."},{"issue":"7","key":"1825_CR19","doi-asserted-by":"publisher","first-page":"1","DOI":"10.3390\/s18072120","volume":"18","author":"T Liu","year":"2018","unstructured":"T. Liu, Z.J. Luo, J.H. Huang et al., A comparative study of four kinds of adaptive decomposition algorithms and their applications. Sensors 18(7), 1\u201351 (2018). https:\/\/doi.org\/10.3390\/s18072120","journal-title":"Sensors"},{"issue":"1","key":"1825_CR20","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/0165-1684(88)90040-0","volume":"14","author":"FJ Owens","year":"1988","unstructured":"F.J. Owens, M.S. Murphy, A short-time Fourier transform. Signal Process. 14(1), 3\u201310 (1988). https:\/\/doi.org\/10.1016\/0165-1684(88)90040-0","journal-title":"Signal Process."},{"issue":"5","key":"1825_CR21","doi-asserted-by":"publisher","first-page":"2475","DOI":"10.1109\/TSP.2010.2041606","volume":"58","author":"SL Peng","year":"2010","unstructured":"S.L. Peng, W.L. Hwang, Null space pursuit: an operator-based approach to adaptive signal separation. IEEE Trans. Signal Process. 58(5), 2475\u20132483 (2010). https:\/\/doi.org\/10.1109\/TSP.2010.2041606","journal-title":"IEEE Trans. Signal Process."},{"issue":"12","key":"1825_CR22","doi-asserted-by":"publisher","first-page":"3168","DOI":"10.1109\/TSP.2017.2686355","volume":"65","author":"DH Pham","year":"2019","unstructured":"D.H. Pham, S. Meignen, High-order synchrosqueezing transform for multicomponent signals analysis-with an application to gravitational-wave signal. IEEE Trans. Signal Process. 65(12), 3168\u20133178 (2019). https:\/\/doi.org\/10.1109\/TSP.2017.2686355","journal-title":"IEEE Trans. Signal Process."},{"issue":"2","key":"1825_CR23","doi-asserted-by":"publisher","first-page":"245","DOI":"10.1109\/TASSP.1975.1162674","volume":"23","author":"C Rader","year":"1975","unstructured":"C. Rader, The fast Fourier transform. IEEE Trans. Acoust. Speech Signal Process. 23(2), 245\u2013246 (1975). https:\/\/doi.org\/10.1109\/TASSP.1975.1162674","journal-title":"IEEE Trans. Acoust. Speech Signal Process."},{"issue":"23","key":"1825_CR24","doi-asserted-by":"publisher","first-page":"6039","DOI":"10.1109\/TSP.2019.2951223","volume":"67","author":"N Rehman","year":"2019","unstructured":"N. Rehman, H. Aftab, Multivariate variational mode decomposition. IEEE Trans. Signal Process. 67(23), 6039\u20136052 (2019). https:\/\/doi.org\/10.1109\/TSP.2019.2951223","journal-title":"IEEE Trans. Signal Process."},{"issue":"4","key":"1825_CR25","doi-asserted-by":"publisher","first-page":"3071","DOI":"10.1109\/TIE.2018.2847640","volume":"66","author":"XT Tu","year":"2019","unstructured":"X.T. Tu, Y. Hu, F.C. Li et al., Demodulated high-order synchrosqueezing transform with application to machine fault diagnosis. IEEE Trans. Industr. Electron. 66(4), 3071\u20133081 (2019). https:\/\/doi.org\/10.1109\/TIE.2018.2847640","journal-title":"IEEE Trans. Industr. Electron."},{"key":"1825_CR26","unstructured":"Voice signal \/gao\/ [EB\/OL]. https:\/\/hanyu-word-pinyin-short.cdn.bcebos.com\/gao1.mp3."},{"key":"1825_CR27","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1016\/j.ymssp.2016.09.032","volume":"86","author":"YX Wang","year":"2017","unstructured":"Y.X. Wang, F.Y. Liu, Z.S. Jiang et al., Complex variational mode decomposition for signal processing applications. Mech. Syst. Signal Process. 86, 75\u201385 (2017). https:\/\/doi.org\/10.1016\/j.ymssp.2016.09.032","journal-title":"Mech. Syst. Signal Process."},{"issue":"01","key":"1825_CR28","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1142\/S1793536909000047","volume":"01","author":"ZH Wu","year":"2009","unstructured":"Z.H. Wu, N.E. Huang, Ensemble empirical mode decomposition: a noise-assisted data analysis method. Adv. Adapt. Data Anal. 01(01), 1\u201341 (2009). https:\/\/doi.org\/10.1142\/S1793536909000047","journal-title":"Adv. Adapt. Data Anal."},{"issue":"02","key":"1825_CR29","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1142\/S1793536910000422","volume":"02","author":"JR Yeh","year":"2010","unstructured":"J.R. Yeh, J.S. Shieh, N.E. Huang, Complementary ensemble empirical mode decomposition: a novel noise enhanced data analysis method. Adv. Adapt. Data Anal. 02(02), 135\u2013156 (2010). https:\/\/doi.org\/10.1142\/S1793536910000422","journal-title":"Adv. Adapt. Data Anal."},{"issue":"7","key":"1825_CR30","doi-asserted-by":"publisher","first-page":"5441","DOI":"10.1109\/TIE.2018.2868296","volume":"66","author":"G Yu","year":"2019","unstructured":"G. Yu, Z.H. Wang, P. Zhao, Multisynchrosqueezing transform. IEEE Trans. Industr. Electron. 66(7), 5441\u20135455 (2019). https:\/\/doi.org\/10.1109\/TIE.2018.2868296","journal-title":"IEEE Trans. Industr. Electron."},{"issue":"10","key":"1825_CR31","doi-asserted-by":"publisher","first-page":"8042","DOI":"10.1109\/TIE.2017.2696503","volume":"64","author":"G Yu","year":"2017","unstructured":"G. Yu, M.J. Yu, C.Y. Xu, Synchroextracting transform. IEEE Trans. Industr. Electron. 64(10), 8042\u20138054 (2017). https:\/\/doi.org\/10.1109\/TIE.2017.2696503","journal-title":"IEEE Trans. Industr. Electron."},{"key":"1825_CR32","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.dsp.2020.102860","volume":"107","author":"D Zhu","year":"2020","unstructured":"D. Zhu, Q.W. Gao, Y.X. Lu et al., A signal decomposition algorithm based on complex AM-FM model. Digit. Signal Processing. 107, 1\u20139 (2020). https:\/\/doi.org\/10.1016\/j.dsp.2020.102860","journal-title":"Digit. Signal Processing."},{"key":"1825_CR33","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1016\/j.sigpro.2013.04.019","volume":"96","author":"D Zhu","year":"2014","unstructured":"D. Zhu, Q.W. Gao, D. Sun et al., A detection method for bearing faults using null space pursuit and S transform. Signal Process. 96, 80\u201389 (2014). https:\/\/doi.org\/10.1016\/j.sigpro.2013.04.019","journal-title":"Signal Process."},{"issue":"15","key":"1825_CR34","doi-asserted-by":"publisher","first-page":"8445","DOI":"10.1109\/JSEN.2020.2983261","volume":"20","author":"D Zhu","year":"2020","unstructured":"D. Zhu, Q.W. Gao, D. Sun et al., A detection method for bearing faults using complex-valued null space pursuit and 1.5-dimensional teager energy spectrum. IEEE Sens. J. 20(15), 8445\u20138454 (2020). https:\/\/doi.org\/10.1109\/JSEN.2020.2983261","journal-title":"IEEE Sens. J."}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-021-01825-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-021-01825-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-021-01825-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,31]],"date-time":"2022-01-31T17:30:33Z","timestamp":1643650233000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-021-01825-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,28]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,2]]}},"alternative-id":["1825"],"URL":"https:\/\/doi.org\/10.1007\/s00034-021-01825-3","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"type":"print","value":"0278-081X"},{"type":"electronic","value":"1531-5878"}],"subject":[],"published":{"date-parts":[[2021,10,28]]},"assertion":[{"value":"2 June 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 August 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 August 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 October 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}