{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,18]],"date-time":"2026-02-18T23:46:42Z","timestamp":1771458402468,"version":"3.50.1"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"22","license":[{"start":{"date-parts":[[2023,4,29]],"date-time":"2023-04-29T00:00:00Z","timestamp":1682726400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,4,29]],"date-time":"2023-04-29T00:00:00Z","timestamp":1682726400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"the project of Chongqing Municipal Education Commission","award":["KJQN201903112"],"award-info":[{"award-number":["KJQN201903112"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2023,8]]},"DOI":"10.1007\/s00521-023-08501-4","type":"journal-article","created":{"date-parts":[[2023,4,29]],"date-time":"2023-04-29T17:01:51Z","timestamp":1682787711000},"page":"16341-16355","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A dictionary learning algorithm for denoising polynomial phase signal based on neural networks"],"prefix":"10.1007","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6769-1059","authenticated-orcid":false,"given":"Guojian","family":"Ou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sai","family":"Zou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Song","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianguo","family":"Tang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,4,29]]},"reference":[{"issue":"1","key":"8501_CR1","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1109\/LSP.2016.2638436","volume":"24","author":"W Pu","year":"2017","unstructured":"Pu W, Orlik PV et al (2017) parameter estimation of hybrid sinusoidal FM-polynomial phase signal. IEEE Signal Process Lett 24(1):66\u201370","journal-title":"IEEE Signal Process Lett"},{"issue":"1","key":"8501_CR2","first-page":"1","volume":"149","author":"D Igor","year":"2018","unstructured":"Igor D, Pu W et al (2018) Parameter estimation of coupled polynomial phase and sinusoidal FM signals. Signal Process 149(1):1\u201313","journal-title":"Signal Process"},{"issue":"1","key":"8501_CR3","first-page":"20432","volume":"7","author":"O Guojian","year":"2019","unstructured":"Guojian O, Pengju Z et al (2019) A sparse decomposition-based algorithm for estimating the parameters of polynomial phase signals. IEEE Access 7(1):20432\u201320441","journal-title":"IEEE Access"},{"key":"8501_CR4","doi-asserted-by":"crossref","unstructured":"Guojian O, Yunbing H, Chunling W (2020) A refined PCPF algorithm for estimating the parameters of multicomponent polynomial-phase signals 31(4):1531\u20131552","DOI":"10.1007\/s11045-020-00719-y"},{"key":"8501_CR5","doi-asserted-by":"crossref","unstructured":"Runqing C, Ming L, et al (2018) A new method for parameter estimation of high-order\u00a0polynomial-phasesignals 142(1):212\u2013222","DOI":"10.1016\/j.sigpro.2017.06.011"},{"issue":"1","key":"8501_CR6","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1016\/j.dsp.2017.10.003","volume":"72","author":"I Djurovic","year":"2018","unstructured":"Djurovic I, Simeunovic M (2018) Review of the quasi maximum likelihood estimator for polynomial phase signals. Digital Signal Process 72(1):59\u201374","journal-title":"Digital Signal Process"},{"issue":"1","key":"8501_CR7","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1109\/LSP.2016.2638436","volume":"24","author":"P Wang","year":"2017","unstructured":"Wang P, Orlik PVK et al (2017) Parameter estimation of hybrid sinusoidal FM-polynomial phase signal. IEEE Signal Process Lett 24(1):66\u201370","journal-title":"IEEE Signal Process Lett"},{"key":"8501_CR8","doi-asserted-by":"crossref","unstructured":"O\u2019Shea P (2010) On refining polynomial phase signal parameter estimates [J]. IEEE Trans Aerospace Electron Syst 46(3):978\u2013987","DOI":"10.1109\/TAES.2010.5545168"},{"issue":"9","key":"8501_CR9","first-page":"250","volume":"39","author":"Wu Yizhi","year":"2013","unstructured":"Yizhi Wu, Wenxuan L (2013) Improvement of Electrocardio Signal Sparse Decomposition MP Algorithm Based on GA. Comput Eng 39(9):250\u2013253","journal-title":"Comput Eng"},{"issue":"29","key":"8501_CR10","first-page":"79","volume":"44","author":"J Zhang","year":"2008","unstructured":"Zhang J, Fang H et al (2008) Improved GA-based MP algorithm for signal sparse decomposition. Comput Eng Appl 44(29):79\u201381","journal-title":"Comput Eng Appl"},{"issue":"1","key":"8501_CR11","first-page":"46","volume":"34","author":"N Han","year":"2012","unstructured":"Han N, Shang C (2012) Fast variable matrix algorithm for sparse decomposition based on PSO. Syst Eng Electron 34(1):46\u201349","journal-title":"Syst Eng Electron"},{"issue":"11","key":"8501_CR12","first-page":"363","volume":"32","author":"W Li","year":"2015","unstructured":"Li W, Yan F (2015) Sparse decomposition of images based on particle swarm optimization. Comput Simul 32(11):363\u2013367","journal-title":"Comput Simul"},{"issue":"9","key":"8501_CR13","first-page":"51","volume":"34","author":"W Zailei","year":"2012","unstructured":"Zailei W, Hongjie He et al (2012) Fast algorithm for image MP sparse decomposition based on FHT and core dictionary. J China Railway Soc 34(9):51\u201357","journal-title":"J China Railway Soc"},{"issue":"1","key":"8501_CR14","first-page":"68","volume":"28","author":"S Jun","year":"2006","unstructured":"Jun S, Zhongke Y et al (2006) Set partitioning of the over-complete dictionary in signal sparse decomposition. J China Railway Soc 28(1):68\u201371","journal-title":"J China Railway Soc"},{"issue":"5","key":"8501_CR15","first-page":"865","volume":"33","author":"Ou Guojian","year":"2018","unstructured":"Guojian Ou, Zhang S et al (2018) Fast sparse decomposition of linear FM signal using FFT. J Data Acquisit Process 33(5):865\u2013871","journal-title":"J Data Acquisit Process"},{"issue":"3","key":"8501_CR16","first-page":"648","volume":"40","author":"Ou Guojian","year":"2018","unstructured":"Guojian Ou, Jiang Q, Qing C (2018) A fast sparse decomposition for three-order polynomial phase signal based on subspace. J Electron Inf Technol 40(3):648\u2013655","journal-title":"J Electron Inf Technol"},{"issue":"7","key":"8501_CR17","first-page":"1651","volume":"39","author":"JIAO Li-cheng","year":"2011","unstructured":"Li-cheng JIAO, Shu-yuan YANG et al (2011) Development and prospect of compressive sensing. Acta Electron Sin 39(7):1651\u20131662","journal-title":"Acta Electron Sin"},{"issue":"2","key":"8501_CR18","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1109\/MSP.2010.939537","volume":"28","author":"I To\u0161ic","year":"2011","unstructured":"To\u0161ic I, Frossard P (2011) Dictionary learning[J]. IEEE Signal Process Magaz 28(2):27\u201338","journal-title":"IEEE Signal Process Magaz"},{"issue":"11","key":"8501_CR19","doi-asserted-by":"publisher","first-page":"4311","DOI":"10.1109\/TSP.2006.881199","volume":"54","author":"M Abaron","year":"2006","unstructured":"Abaron M, Elad M, Bruckstein A (2006) K-SVD: an algorithm for designing over-complete dictionaries for sparse representation. IEEE Trans Signal Process 54(11):4311\u20134322","journal-title":"IEEE Trans Signal Process"},{"issue":"4","key":"8501_CR20","doi-asserted-by":"publisher","first-page":"2121","DOI":"10.1109\/TSP.2010.2040671","volume":"58","author":"K Skretting","year":"2010","unstructured":"Skretting K, Engan K (2010) Recursive least squares dictionary learning algorithm. IEEE Trans Signal Process 58(4):2121\u20132130","journal-title":"IEEE Trans Signal Process"},{"issue":"1","key":"8501_CR21","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1109\/LSP.2012.2229976","volume":"20","author":"L Smith","year":"2013","unstructured":"Smith L, Elad M (2013) Improving dictionary learning: multiple dictionary updates and coefficient reuse. IEEE Signal Process Lett 20(1):79\u201382","journal-title":"IEEE Signal Process Lett"},{"issue":"2","key":"8501_CR22","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1109\/TBME.2011.2173935","volume":"59","author":"S Li","year":"2012","unstructured":"Li S, Fang L, Yin H (2012) An efficient dictionary learning algorithm and its application to 3-D medical image denoising. IEEE Trans Biomed Eng 59(2):417\u2013427","journal-title":"IEEE Trans Biomed Eng"},{"issue":"1","key":"8501_CR23","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.patrec.2018.05.017","volume":"112","author":"Y Saeed-Varasteh","year":"2018","unstructured":"Saeed-Varasteh Y, Ahlame D-C (2018) Time warp invariant kSVD: sparse coding and dictionary learning for time series under time warp. Pattern Recogn Lett 112(1):1\u20138","journal-title":"Pattern Recogn Lett"},{"issue":"1081","key":"8501_CR24","first-page":"1","volume":"2020","author":"SC Cheung","year":"2020","unstructured":"Cheung SC, Shin JY et al (2020) Dictionary learning in Fourier-transform scanning tunneling spectroscopy. Nature Commun 2020(1081):1\u201311","journal-title":"Nature Commun"},{"key":"8501_CR25","doi-asserted-by":"crossref","unstructured":"O'Shaughnessy MR, Davenport MA, Rozell CJ (2019) Sparse bayesian learning with dynamic filtering for inference of time-varying sparse signals. IEEE Trans Signal Process. https:\/\/arxiv.org\/abs\/1902.05362?context=eess","DOI":"10.1109\/TSP.2019.2961229"},{"issue":"3","key":"8501_CR26","first-page":"1","volume":"83","author":"L Lina","year":"2018","unstructured":"Lina L, Jianwei M, Gerlind P (2018) Sparse graph-regularized dictionary learning for suppressing random seismic noise. Geophysics 83(3):1\u201378","journal-title":"Geophysics"},{"issue":"1","key":"8501_CR27","doi-asserted-by":"publisher","first-page":"500","DOI":"10.1109\/TIP.2017.2764622","volume":"27","author":"S Wang","year":"2018","unstructured":"Wang S, Ding Z, Fu Y (2018) Marginalized denoising dictionary learning with locality constraint. IEEE Trans Image Process 27(1):500\u2013510","journal-title":"IEEE Trans Image Process"},{"issue":"6","key":"8501_CR28","doi-asserted-by":"publisher","first-page":"2996","DOI":"10.1109\/TIP.2018.2811546","volume":"27","author":"Xu Jun","year":"2018","unstructured":"Jun Xu, Lei Z, David Z (2018) External prior guided internal prior learning for real-world noisy image denoising. IEEE Trans Image Process 27(6):2996\u20133010","journal-title":"IEEE Trans Image Process"},{"issue":"11","key":"8501_CR29","doi-asserted-by":"publisher","first-page":"4556","DOI":"10.1109\/TIP.2015.2468172","volume":"24","author":"X Zeng","year":"2015","unstructured":"Zeng X, Bian W et al (2015) Dictionary pair learning on Grassmann manifolds for image denoising. IEEE Trans Image Process 24(11):4556\u20134569","journal-title":"IEEE Trans Image Process"},{"issue":"3","key":"8501_CR30","doi-asserted-by":"publisher","first-page":"1108","DOI":"10.1109\/TIP.2012.2227766","volume":"22","author":"J Liu","year":"2012","unstructured":"Liu J, Tai X-C et al (2012) A weighted dictionary learning model for denoising images corrupted by mixed noise. IEEE Trans Image Process 22(3):1108\u20131120","journal-title":"IEEE Trans Image Process"},{"key":"8501_CR31","doi-asserted-by":"crossref","unstructured":"Tariyal, Snigdha, Majumdar, etal (2016) Deep dictionary learning. IEEE Access 4(12):10096\u201310109","DOI":"10.1109\/ACCESS.2016.2611583"},{"issue":"11","key":"8501_CR32","first-page":"2685","volume":"31","author":"Z Yunong","year":"2009","unstructured":"Yunong Z, Yiwen Y et al (2009) Weights direct determination of a spline neural network. Syst Eng Electron 31(11):2685\u20132688","journal-title":"Syst Eng Electron"},{"key":"8501_CR33","unstructured":"Zhang Y, Yang Y, Li W (2010) Weights direct determination of neural network[T], Sun Yat-sen University Press"},{"issue":"1","key":"8501_CR34","first-page":"1","volume":"108","author":"Z Chaoping","year":"2020","unstructured":"Chaoping Z, Ruguo F et al (2020) Exploring the fluctuant transmission characteristics of air quality index based on time series network model. Ecol Ind 108(1):1\u201313","journal-title":"Ecol Ind"},{"issue":"2","key":"8501_CR35","first-page":"2819","volume":"3","author":"WH William","year":"2002","unstructured":"William WH, Aiming W (2002) Nonlinear singular spectrum analysis by neural networks. Neural Netw 3(2):2819\u20132824","journal-title":"Neural Netw"},{"issue":"5","key":"8501_CR36","doi-asserted-by":"publisher","first-page":"1905","DOI":"10.1109\/TSP.2007.913162","volume":"56","author":"G Bi","year":"2008","unstructured":"Bi G, Yingtuo Ju, Li X (2008) Fast algorithms for polynomial time-frequency transforms of real-valued sequences. IEEE Trans Signal Process 56(5):1905\u20131915","journal-title":"IEEE Trans Signal Process"},{"issue":"12","key":"8501_CR37","doi-asserted-by":"publisher","first-page":"3736","DOI":"10.1109\/TIP.2006.881969","volume":"15","author":"M Elad","year":"2006","unstructured":"Elad M, Aharon M (2006) Image denoising via sparse and redundant representations over learned dictionaries. IEEE Trans Image Process 15(12):3736\u20133745","journal-title":"IEEE Trans Image Process"},{"issue":"1","key":"8501_CR38","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1587\/transcom.2015EBP3131","volume":"E99.B","author":"OU Guo Jian","year":"2016","unstructured":"Guo Jian OU, Shizhong Y et al (2016) A Refined estimator of multicomponent third-order polynomial phase signals. IEICE Trans Commun E99.B(1):143\u2013151","journal-title":"IEICE Trans Commun"},{"issue":"12","key":"8501_CR39","doi-asserted-by":"publisher","first-page":"3397","DOI":"10.1109\/78.258082","volume":"41","author":"S Mallat","year":"1993","unstructured":"Mallat S, Zhang Z (1993) Matching pursuits with time-frequency dictionaries. IEEE Trans Signal Process 41(12):3397\u20133415","journal-title":"IEEE Trans Signal Process"},{"issue":"1","key":"8501_CR40","doi-asserted-by":"publisher","first-page":"736","DOI":"10.1016\/j.neucom.2015.07.013","volume":"171","author":"Y Zhao","year":"2016","unstructured":"Zhao Y, Wu Z, Yang Z et al (2016) A novel signal sparse decomposition based on modulation correlation partition. Neurocomputing 171(1):736\u2013743","journal-title":"Neurocomputing"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-023-08501-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00521-023-08501-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-023-08501-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,13]],"date-time":"2023-07-13T04:06:12Z","timestamp":1689221172000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00521-023-08501-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,4,29]]},"references-count":40,"journal-issue":{"issue":"22","published-print":{"date-parts":[[2023,8]]}},"alternative-id":["8501"],"URL":"https:\/\/doi.org\/10.1007\/s00521-023-08501-4","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,4,29]]},"assertion":[{"value":"15 August 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 June 2022","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 April 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"We declare that we have no financial and personal relationships with other people or organizations that can inappropriately include our work, and there is no professional or other personal interest of any nature or kind in any product, service and\/or company that could be constructed as influencing the position presented in, or the review of, the manuscript entitled.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}