{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,16]],"date-time":"2026-10-16T17:17:19Z","timestamp":1792171039252,"version":"4.4.0"},"reference-count":60,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,11,26]],"date-time":"2018-11-26T00:00:00Z","timestamp":1543190400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["BMC Bioinformatics"],"published-print":{"date-parts":[[2018,12]]},"DOI":"10.1186\/s12859-018-2473-y","type":"journal-article","created":{"date-parts":[[2018,11,26]],"date-time":"2018-11-26T04:44:41Z","timestamp":1543207481000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":45,"title":["Coding Prony\u2019s method in MATLAB and applying it to biomedical signal filtering"],"prefix":"10.1186","volume":"19","author":[{"given":"A.","family":"Fern\u00e1ndez Rodr\u00edguez","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"L.","family":"de Santiago Rodrigo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"E.","family":"L\u00f3pez Guill\u00e9n","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J. M.","family":"Rodr\u00edguez Ascariz","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J. M.","family":"Miguel Jim\u00e9nez","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8591-6103","authenticated-orcid":false,"given":"Luciano","family":"Boquete","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2018,11,26]]},"reference":[{"key":"2473_CR1","first-page":"24","volume":"1","author":"R Prony","year":"1795","unstructured":"Prony R. Essai exp\u00e9rimental et analytique sur les lois de la dilatabilit\u00e9 des fluides \u00e9lastiques, et sur celles de la force expansive de la vapeur de l\u2019eau et de la vapeur de l\u2019alkool, \u00e1 diff\u00e9rentes temperatures. J L\u2019\u00e9cole Polytech. 1795;1:24\u201376.","journal-title":"J L\u2019\u00e9cole Polytech"},{"key":"2473_CR2","doi-asserted-by":"crossref","DOI":"10.2172\/4444525","volume-title":"On Prony\u2019s method of fitting exponential decay curves and multiple-hit survival curves","author":"AS Householder","year":"1950","unstructured":"Householder, AS. On Prony\u2019s method of fitting exponential decay curves and multiple-hit survival curves. Oak Ridge National Laborator, 1950."},{"key":"2473_CR3","doi-asserted-by":"publisher","first-page":"2283","DOI":"10.1016\/j.sigpro.2007.04.004","volume":"87","author":"I Markovsky","year":"2007","unstructured":"Markovsky I, Van Huffel S. Overview of total least-squares methods. Signal Process. 2007;87:2283\u2013302. https:\/\/doi.org\/10.1016\/j.sigpro.2007.04.004 .","journal-title":"Signal Process"},{"key":"2473_CR4","doi-asserted-by":"publisher","first-page":"1050","DOI":"10.1109\/19.46399","volume":"38","author":"P Guillaume","year":"1989","unstructured":"Guillaume P, Schoukens J, Pintelon R. Sensitivity of roots to errors in the coefficient of polynomials obtained by frequency-domain estimation methods. IEEE Trans Instrum Meas. 1989;38:1050\u20136. https:\/\/doi.org\/10.1109\/19.46399 .","journal-title":"IEEE Trans Instrum Meas"},{"key":"2473_CR5","doi-asserted-by":"publisher","first-page":"814","DOI":"10.1109\/29.56027","volume":"38","author":"Y Hua","year":"1990","unstructured":"Hua Y, Sarkar TK. Matrix pencil method for estimating parameters of exponentially damped\/undamped sinusoids in noise. IEEE Trans Acoust. 1990;38:814\u201324. https:\/\/doi.org\/10.1109\/29.56027 .","journal-title":"IEEE Trans Acoust"},{"key":"2473_CR6","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1109\/TIM.2005.862015","volume":"55","author":"T Lobos","year":"2006","unstructured":"Lobos T, Leonowicz Z, Rezmer J, Schegner P. High-resolution spectrum-estimation methods for signal analysis in power systems. IEEE Trans Instrum Meas. 2006;55:219\u201325. https:\/\/doi.org\/10.1109\/TIM.2005.862015 .","journal-title":"IEEE Trans Instrum Meas"},{"key":"2473_CR7","doi-asserted-by":"publisher","first-page":"1653","DOI":"10.1016\/S0020-7683(98)00055-9","volume":"36","author":"SW Park","year":"1999","unstructured":"Park SW, Schapery RA. Methods of interconversion between linear viscoelastic material functions. Part I\u2014a numerical method based on Prony series. Int J Solids Struct. 1999;36:1653\u201375. https:\/\/doi.org\/10.1016\/S0020-7683(98)00055-9 .","journal-title":"Int J Solids Struct"},{"key":"2473_CR8","doi-asserted-by":"publisher","first-page":"373","DOI":"10.1109\/TAP.1981.1142573","volume":"29","author":"T Sarkar","year":"1981","unstructured":"Sarkar T, Weiner D, Jain V. Some mathematical considerations in dealing with the inverse problem. IEEE Trans Antennas Propag. 1981;29:373\u20139. https:\/\/doi.org\/10.1109\/TAP.1981.1142573 .","journal-title":"IEEE Trans Antennas Propag"},{"key":"2473_CR9","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.compbiomed.2014.10.023","volume":"56","author":"A Fern\u00e1ndez","year":"2015","unstructured":"Fern\u00e1ndez A, de Santiago L, Blanco R, P\u00e9rez-Rico C, Rodr\u00edguez-Ascariz JM, Barea R, Miguel-Jim\u00e9nez JM, Garc\u00eda-Luque JR, Ortiz del Castillo M, S\u00e1nchez-Morla EM, Boquete L. Filtering multifocal VEP signals using Prony\u2019s method. Comput Biol Med. 2015;56:13\u20139. https:\/\/doi.org\/10.1016\/j.compbiomed.2014.10.023 .","journal-title":"Comput Biol Med"},{"key":"2473_CR10","doi-asserted-by":"publisher","first-page":"973","DOI":"10.1109\/10.536898","volume":"43","author":"M Hansson","year":"1996","unstructured":"Hansson M, G\u00e4nsler T, Salomonsson G. Estimation of single event-related potentials utilizing the Prony method. IEEE Trans Biomed Eng. 1996;43:973\u201381. https:\/\/doi.org\/10.1109\/10.536898 .","journal-title":"IEEE Trans Biomed Eng"},{"key":"2473_CR11","doi-asserted-by":"publisher","first-page":"1317","DOI":"10.1109\/10.871404","volume":"47","author":"SW Chen","year":"2000","unstructured":"Chen SW. A two-stage discrimination of cardiac arrhythmias using a total least squares-based Prony modeling algorithm. IEEE Trans Biomed Eng. 2000;47:1317\u201327. https:\/\/doi.org\/10.1109\/10.871404 .","journal-title":"IEEE Trans Biomed Eng"},{"key":"2473_CR12","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1109\/TBME.2012.2227318","volume":"60","author":"M Bhuiyan","year":"2013","unstructured":"Bhuiyan M, Malyarenko EV, Pantea MA, Seviaryn FM, Maev RG. Advantages and limitations of using matrix pencil method for the modal analysis of medical percussion signals. IEEE Trans Biomed Eng. 2013;60:417\u201326. https:\/\/doi.org\/10.1109\/TBME.2012.2227318 .","journal-title":"IEEE Trans Biomed Eng"},{"key":"2473_CR13","doi-asserted-by":"publisher","first-page":"336","DOI":"10.1002\/mrm.26096","volume":"77","author":"G Bauman","year":"2017","unstructured":"Bauman G, Bieri O. Matrix pencil decomposition of time-resolved proton MRI for robust and improved assessment of pulmonary ventilation and perfusion. Magn Reson Med. 2017;77:336\u201342. https:\/\/doi.org\/10.1002\/mrm.26096 .","journal-title":"Magn Reson Med"},{"key":"2473_CR14","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/j.jneumeth.2013.08.015","volume":"220","author":"R Gopalakrishnan","year":"2013","unstructured":"Gopalakrishnan R, Machado AG, Burgess RC, Mosher JC. The use of contact heat evoked potential stimulator (CHEPS) in magnetoencephalography for pain research. J Neurosci Methods. 2013;220:55\u201363. https:\/\/doi.org\/10.1016\/j.jneumeth.2013.08.015 .","journal-title":"J Neurosci Methods"},{"key":"2473_CR15","doi-asserted-by":"publisher","first-page":"5","DOI":"10.3389\/neuro.11.005.2008","volume":"2","author":"D Goodman","year":"2008","unstructured":"Goodman D. Brian: a simulator for spiking neural networks in Python. Front Neuroinform. 2008;2:5. https:\/\/doi.org\/10.3389\/neuro.11.005.2008 .","journal-title":"Front Neuroinform"},{"key":"2473_CR16","doi-asserted-by":"publisher","unstructured":"Meyer R, Obermayer K. Pypet: a Python toolkit for data management of parameter explorations. Front. Neuroinform. 2016;10. https:\/\/doi.org\/10.3389\/fninf.2016.00038 .","DOI":"10.3389\/fninf.2016.00038"},{"issue":"12","key":"2473_CR17","doi-asserted-by":"publisher","first-page":"e1005","DOI":"10.1016\/j.na.2009.01.069","volume":"71","author":"S.K. Sen","year":"2009","unstructured":"Sen SK, Shaykhian GA. MatLab tutorial for scientific and engineering computations. Nonlinear Anal Theory, Methods Appl. 2009:e1005\u201320. https:\/\/doi.org\/10.1016\/j.na.2009.01.069 .","journal-title":"Nonlinear Analysis: Theory, Methods & Applications"},{"key":"2473_CR18","doi-asserted-by":"publisher","unstructured":"Ihlen EAF. Introduction to multifractal detrended fluctuation analysis in Matlab. Front Physiol. 2012;3. https:\/\/doi.org\/10.3389\/fphys.2012.00141 .","DOI":"10.3389\/fphys.2012.00141"},{"key":"2473_CR19","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1016\/j.cmpb.2012.02.013","volume":"108","author":"JM Miguel-Jim\u00e9nez","year":"2012","unstructured":"Miguel-Jim\u00e9nez JM, Boquete L, Ortega S, Cordero CA, Barea R, Blanco R. mfERG_LAB: software for processing multifocal electroretinography signals. Comput Methods Prog Biomed. 2012;108:377\u201387. https:\/\/doi.org\/10.1016\/j.cmpb.2012.02.013 .","journal-title":"Comput Methods Prog Biomed"},{"key":"2473_CR20","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1016\/j.cmpb.2009.10.002","volume":"98","author":"P Perakakis","year":"2010","unstructured":"Perakakis P, Joffily M, Taylor M, Guerra P, Vila J. KARDIA: a Matlab software for the analysis of cardiac interbeat intervals. Comput Methods Prog Biomed. 2010;98:83\u20139. https:\/\/doi.org\/10.1016\/j.cmpb.2009.10.002 .","journal-title":"Comput Methods Prog Biomed"},{"key":"2473_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/0-387-27602-5.","volume-title":"An introduction to difference equations","author":"E Saber","year":"2005","unstructured":"Saber E. An introduction to difference equations. New York: Springer-Verlag; 2005. https:\/\/doi.org\/10.1007\/0-387-27602-5."},{"key":"2473_CR22","unstructured":"Reddy DC. Biomedical signal processing: principles and techniques. New York: McGraw-Hill; 2005."},{"key":"2473_CR23","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1016\/S0169-7161(05)80134-8","volume":"9","author":"S Van Huffer","year":"1993","unstructured":"Van Huffer S, Zha H. The total least squares problem. Handb. Stat. 1993;9:377\u2013408.","journal-title":"Handb. Stat"},{"key":"2473_CR24","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971002","volume-title":"The total least squars problem: computational aspects and analysis","author":"S Van Huffel","year":"1991","unstructured":"Van Huffel S, Vandewalle J. The total least squars problem: computational aspects and analysis. Philadelphia: Siam; 1991."},{"key":"2473_CR25","doi-asserted-by":"publisher","DOI":"10.1002\/0471705195","volume-title":"Applied Numerical Methods Using MATLAB\u00ae","author":"Won Young Yang","year":"2005","unstructured":"Yang WY, Cao W, Chung TS, Morris J. Applied numerical methods using MATLAB. Hoboken: Wiley; 2005."},{"key":"2473_CR26","volume-title":"The theory of matrices","author":"FR Gantmacher","year":"1953","unstructured":"Gantmacher FR. The theory of matrices, vol. 2. Moscow: GITTL; 1953."},{"key":"2473_CR27","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1109\/74.370583","volume":"37","author":"TK Sarkar","year":"1995","unstructured":"Sarkar TK, Pereira O. Using the matrix pencil method to estimate the parameters of a sum of complex exponentials. IEEE Antennas Propag Mag. 1995;37:48\u201355. https:\/\/doi.org\/10.1109\/74.370583 .","journal-title":"IEEE Antennas Propag Mag"},{"key":"2473_CR28","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1016\/0013-4694(94)90114-7","volume":"90","author":"HA Baseler","year":"1994","unstructured":"Baseler HA, Sutter EE, Klein SAA, Carney T. The topography of visual evoked response properties across the visual field. Electroencephalogr Clin Neurophysiol. 1994;90:65\u201381. https:\/\/doi.org\/10.1016\/0013-4694(94)90114-7 .","journal-title":"Electroencephalogr Clin Neurophysiol"},{"issue":"1","key":"2473_CR29","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1167\/16.1.15","volume":"16","author":"PL M\u00fcller","year":"2016","unstructured":"M\u00fcller PL, Meigen T. M-sequences in ophthalmic electrophysiology. J Vis. 2016;16(1):15.","journal-title":"J Vis"},{"key":"2473_CR30","doi-asserted-by":"publisher","first-page":"652","DOI":"10.1515\/acgeo-2015-0012","volume":"63","author":"G Mitrofanov","year":"2015","unstructured":"Mitrofanov G, Priimenko V. Prony filtering of seismic data. Acta Geophys. 2015;63:652\u201378. https:\/\/doi.org\/10.1515\/acgeo-2015-0012 .","journal-title":"Acta Geophys"},{"key":"2473_CR31","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1016\/S0022-0736(94)80093-6","volume":"27","author":"P Lander","year":"1994","unstructured":"Lander P, Jones D, Berbari E, Lazzara R. Time-frequency structure of the high-resolution ECG. J Electrocardiol. 1994;27:207\u201312. https:\/\/doi.org\/10.1016\/S0022-0736(94)80093-6 .","journal-title":"J Electrocardiol"},{"key":"2473_CR32","doi-asserted-by":"publisher","first-page":"487","DOI":"10.1007\/s004220050","volume":"78","author":"T Demiralp","year":"1998","unstructured":"Demiralp T, Ademoglu A, Istefanopulos Y, G\u00fcl\u00e7\u00fcr HO. Analysis of event-related potentials (ERP) by damped sinusoids. Biol Cybern. 1998;78:487\u201393. https:\/\/doi.org\/10.1007\/s004220050 .","journal-title":"Biol Cybern"},{"key":"2473_CR33","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1016\/B978-0-08-033452-3.50025-9.","volume-title":"Stoch. Control, Elsevier","author":"V Slivinskas","year":"1987","unstructured":"Slivinskas V, \u0160imonyte V. On the foundation of Prony\u2019s method. In: Stoch. Control, Elsevier; 1987. p. 121\u20136. https:\/\/doi.org\/10.1016\/B978-0-08-033452-3.50025-9."},{"key":"2473_CR34","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1016\/j.ymssp.2013.06.037","volume":"40","author":"SL James Hu","year":"2013","unstructured":"James Hu SL, Yang WL, Li HJ. Signal decomposition and reconstruction using complex exponential models. Mech Syst Signal Process. 2013;40:421\u201338. https:\/\/doi.org\/10.1016\/j.ymssp.2013.06.037 .","journal-title":"Mech Syst Signal Process"},{"key":"2473_CR35","doi-asserted-by":"publisher","first-page":"140","DOI":"10.1137\/S0895479894246905","volume":"18","author":"TA Davis","year":"1997","unstructured":"Davis TA, Duff IS. An unsymmetric-pattern multifrontal method for sparse LU factorization. SIAM J Matrix Anal Appl. 1997;18:140\u201358. https:\/\/doi.org\/10.1137\/S0895479894246905 .","journal-title":"SIAM J Matrix Anal Appl"},{"key":"2473_CR36","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971446.","volume-title":"Applied numerical linear algebra, SIAM","author":"JW Demmel","year":"1997","unstructured":"Demmel JW. Applied numerical linear algebra, SIAM; 1997. https:\/\/doi.org\/10.1137\/1.9781611971446."},{"key":"2473_CR37","doi-asserted-by":"publisher","first-page":"9828","DOI":"10.1016\/j.amc.2011.04.080","volume":"217","author":"VN Katsikis","year":"2011","unstructured":"Katsikis VN, Pappas D, Petralias A. An improved method for the computation of the Moore\u2013Penrose inverse matrix. Appl Math Comput. 2011;217:9828\u201334. https:\/\/doi.org\/10.1016\/j.amc.2011.04.080 .","journal-title":"Appl Math Comput"},{"key":"2473_CR38","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2014\/641706","volume":"2014","author":"A Ataei","year":"2014","unstructured":"Ataei A. Improved Qrginv algorithm for computing Moore-Penrose inverse matrices. ISRN Appl Math. 2014;2014:1\u20135. https:\/\/doi.org\/10.1155\/2014\/641706 .","journal-title":"ISRN Appl Math"},{"key":"2473_CR39","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/j.cam.2014.01.034","volume":"267","author":"MD Petkovi\u0107","year":"2014","unstructured":"Petkovi\u0107 MD, Stanimirovi\u0107 PS. Two improvements of the iterative method for computing Moore\u2013Penrose inverse based on Penrose equations. J Comput Appl Math. 2014;267:61\u201371. https:\/\/doi.org\/10.1016\/j.cam.2014.01.034 .","journal-title":"J Comput Appl Math"},{"key":"2473_CR40","doi-asserted-by":"publisher","first-page":"1223","DOI":"10.1137\/S1064827594263837","volume":"18","author":"RD Fierro","year":"1997","unstructured":"Fierro RD, Golub GH, Hansen PC, O\u2019Leary DP. Regularization by truncated total least squares. SIAM J Sci Comput. 1997;18:1223\u201341. https:\/\/doi.org\/10.1137\/S1064827594263837 .","journal-title":"SIAM J Sci Comput"},{"key":"2473_CR41","doi-asserted-by":"publisher","first-page":"329","DOI":"10.4310\/SII.2010.v3.n3.a6","volume":"3","author":"I Markovsky","year":"2010","unstructured":"Markovsky I. Bibliography on total least squares and related methods. Stat Interface. 2010;3:329\u201334.","journal-title":"Stat Interface"},{"key":"2473_CR42","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/j.cam.2012.08.023","volume":"238","author":"J Lampe","year":"2013","unstructured":"Lampe J, Voss H. Large-scale Tikhonov regularization of total least squares. J Comput Appl Math. 2013;238:95\u2013108. https:\/\/doi.org\/10.1016\/j.cam.2012.08.023 .","journal-title":"J Comput Appl Math"},{"key":"2473_CR43","volume-title":"Perturbation analysis and randomized algorithms for large-scale total least squares problems","author":"P Xie","year":"2014","unstructured":"Xie, P., Wei, Y., Xiang, H. Perturbation analysis and randomized algorithms for large-scale total least squares problems. arXiv preprint arXiv:1401.6832, 2014."},{"key":"2473_CR44","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1137\/S0036144595288554","volume":"39","author":"VY Pan","year":"1997","unstructured":"Pan VY. Solving a polynomial equation: some history and recent progress. SIAM Rev. 1997;39:187\u2013220. https:\/\/doi.org\/10.1137\/S0036144595288554 .","journal-title":"SIAM Rev"},{"key":"2473_CR45","doi-asserted-by":"publisher","first-page":"409","DOI":"10.1007\/BF01933450.","volume":"17","author":"E Hansen","year":"1997","unstructured":"Hansen E, Patrick M, Rusnak J. Some modifications of Laguerre\u2019s method. BIT. 1997;17:409\u201317. https:\/\/doi.org\/10.1007\/BF01933450.","journal-title":"BIT"},{"key":"2473_CR46","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1007\/BF01933524","volume":"13","author":"K Madsen","year":"1973","unstructured":"Madsen K. A root-finding algorithm based on Newton\u2019s method. BIT. 1973;13:71\u20135. https:\/\/doi.org\/10.1007\/BF01933524 .","journal-title":"BIT"},{"issue":"1-2","key":"2473_CR47","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1016\/S0377-0427(00)00413-1","volume":"123","author":"Gene H. Golub","year":"2000","unstructured":"Golub GH, van der Vorst HA. Eigenvalue computation in the 20th century. J Comput Appl Math. 2000;123:35\u201365.","journal-title":"Journal of Computational and Applied Mathematics"},{"key":"2473_CR48","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/978-3-7643-8539-2_7.","volume-title":"Recent Adv. Matrix Oper. Theory, Birkh\u00e4user Basel, Basel","author":"S Chandrasekaran","year":"2007","unstructured":"Chandrasekaran S, Gu M, Xia J, Zhu JA. Fast QR algorithm for companion matrices. In: Recent Adv. Matrix Oper. Theory, Birkh\u00e4user Basel, Basel; 2007. p. 111\u201343. https:\/\/doi.org\/10.1007\/978-3-7643-8539-2_7."},{"key":"2473_CR49","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970739","volume-title":"Numerical methods for large eigenvalue problems, Society for Industrial and Applied Mathematics","author":"Y Saad","year":"2011","unstructured":"Saad Y. Numerical methods for large eigenvalue problems, Society for Industrial and Applied Mathematics; 2011. https:\/\/doi.org\/10.1137\/1.9781611970739 ."},{"key":"2473_CR50","doi-asserted-by":"publisher","first-page":"276","DOI":"10.1109\/TAP.1986.1143830","volume":"34","author":"R Schmidt","year":"1986","unstructured":"Schmidt R. Multiple emitter location and signal parameter estimation. IEEE Trans Antennas Propag. 1986;34:276\u201380. https:\/\/doi.org\/10.1109\/TAP.1986.1143830 .","journal-title":"IEEE Trans Antennas Propag"},{"key":"2473_CR51","doi-asserted-by":"publisher","first-page":"1340","DOI":"10.1109\/TASSP.1986.1164935","volume":"34","author":"R Roy","year":"1986","unstructured":"Roy R, Paulraj A, Kailath T. ESPRIT\u2014A subspace rotation approach to estimation of parameters of cisoids in noise. IEEE Trans Acoust Speech Signal Process. 1986;34:1340\u20132. https:\/\/doi.org\/10.1109\/TASSP.1986.1164935 .","journal-title":"IEEE Trans Acoust Speech Signal Process"},{"key":"2473_CR52","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.apnum.2014.10.003","volume":"88","author":"D Potts","year":"2015","unstructured":"Potts D, Tasche M. Fast ESPRIT algorithms based on partial singular value decompositions. Appl Numer Math. 2015;88:31\u201345. https:\/\/doi.org\/10.1016\/j.apnum.2014.10.003 .","journal-title":"Appl Numer Math"},{"key":"2473_CR53","doi-asserted-by":"publisher","first-page":"1024","DOI":"10.1016\/j.laa.2012.10.036","volume":"439","author":"D Potts","year":"2013","unstructured":"Potts D, Tasche M. Parameter estimation for nonincreasing exponential sums by Prony-like methods. Linear Algebra Appl. 2013;439:1024\u201339. https:\/\/doi.org\/10.1016\/j.laa.2012.10.036 .","journal-title":"Linear Algebra Appl"},{"key":"2473_CR54","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1016\/j.chaos.2011.02.003","volume":"44","author":"RR Nigmatullin","year":"2011","unstructured":"Nigmatullin RR, Osokin SI, Toboev VA. NAFASS: discrete spectroscopy of random signals. Chaos, Solitons Fractals. 2011;44:226\u201340. https:\/\/doi.org\/10.1016\/j.chaos.2011.02.003 .","journal-title":"Chaos, Solitons Fractals"},{"key":"2473_CR55","doi-asserted-by":"publisher","first-page":"015201","DOI":"10.1088\/0031-8949\/89\/01\/015201","volume":"89","author":"RR Nigmatullin","year":"2013","unstructured":"Nigmatullin RR, Khamzin AA, Machado JT. Detection of quasi-periodic processes in complex systems: how do we quantitatively describe their properties? Phys Scr. 2013;89:015201. https:\/\/doi.org\/10.1088\/0031-8949\/89\/01\/015201 .","journal-title":"Phys Scr"},{"key":"2473_CR56","doi-asserted-by":"publisher","first-page":"252","DOI":"10.1016\/j.cnsns.2017.08.009","volume":"56","author":"RR Nigmatullin","year":"2018","unstructured":"Nigmatullin RR, Gubaidullin IA. NAFASS: fluctuation spectroscopy and the Prony spectrum for description of multi-frequency signals in complex systems. Commun Nonlinear Sci Numer Simulat. 2018;56:252\u201369. https:\/\/doi.org\/10.1016\/j.cnsns.2017.08.009 .","journal-title":"Commun Nonlinear Sci Numer Simulat"},{"key":"2473_CR57","doi-asserted-by":"publisher","first-page":"736","DOI":"10.1109\/78.80860","volume":"39","author":"R Kumaresan","year":"1991","unstructured":"Kumaresan R, Feng Y. FIR prefiltering improves Prony\u2019s method. IEEE Trans Signal Process. 1991;39:736\u201341. https:\/\/doi.org\/10.1109\/78.80860 .","journal-title":"IEEE Trans Signal Process"},{"key":"2473_CR58","doi-asserted-by":"crossref","unstructured":"Azarov E, Vashkevich M, Petrovsky A. Instantaneous harmonic representation of speech using multicomponent sinusoidal excitation. Proc Annu Conf Int Speech Commun Assoc Interspeech. 2013:1697\u2013701.","DOI":"10.21437\/Interspeech.2013-33"},{"key":"2473_CR59","doi-asserted-by":"publisher","first-page":"2801","DOI":"10.1109\/TAP.2013.2238497","volume":"61","author":"R Rezaiesarlak","year":"2013","unstructured":"Rezaiesarlak R, Manteghi M. Short-time matrix pencil method for chipless RFID detection applications. IEEE Trans Antennas Propag. 2013;61:2801\u20136. https:\/\/doi.org\/10.1109\/TAP.2013.2238497 .","journal-title":"IEEE Trans Antennas Propag"},{"key":"2473_CR60","doi-asserted-by":"publisher","first-page":"1549","DOI":"10.1109\/10.887935","volume":"47","author":"V Garoosi","year":"2000","unstructured":"Garoosi V, Jansen BH. Development and evaluation of the piecewise Prony method for evoked potential analysis. IEEE Trans Biomed Eng. 2000;47:1549\u201354. https:\/\/doi.org\/10.1109\/10.887935 .","journal-title":"IEEE Trans Biomed Eng"}],"container-title":["BMC Bioinformatics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s12859-018-2473-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1186\/s12859-018-2473-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s12859-018-2473-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,4]],"date-time":"2026-04-04T05:55:17Z","timestamp":1775282117000},"score":1,"resource":{"primary":{"URL":"https:\/\/bmcbioinformatics.biomedcentral.com\/articles\/10.1186\/s12859-018-2473-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,11,26]]},"references-count":60,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2018,12]]}},"alternative-id":["2473"],"URL":"https:\/\/doi.org\/10.1186\/s12859-018-2473-y","relation":{},"ISSN":["1471-2105"],"issn-type":[{"value":"1471-2105","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,11,26]]},"assertion":[{"value":"4 April 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 November 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 November 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"The mfVEP signals adquisition study protocol was approved by the Comit\u00e9 de \u00c9tica en Investigaci\u00f3n Cl\u00ednica del Hospital Universitario Pr\u00edncipe de Asturias, Spain and adhered to the tenets of the Declaration of Helsinki. All participants provided written informed consent.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethics approval and consent to participate"}},{"value":"Not applicable.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Consent for publication"}},{"value":"The authors declare that they have no competing interests.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}},{"value":"Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Publisher\u2019s Note"}}],"article-number":"451"}}