{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,25]],"date-time":"2026-04-25T09:44:46Z","timestamp":1777110286970,"version":"3.51.4"},"reference-count":62,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2025,9,24]],"date-time":"2025-09-24T00:00:00Z","timestamp":1758672000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,9,24]],"date-time":"2025-09-24T00:00:00Z","timestamp":1758672000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2026,4]]},"DOI":"10.1007\/s00034-025-03338-9","type":"journal-article","created":{"date-parts":[[2025,9,24]],"date-time":"2025-09-24T17:55:37Z","timestamp":1758736537000},"page":"2431-2453","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Fractal Signal Processing"],"prefix":"10.1007","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5008-0163","authenticated-orcid":false,"given":"Alireza","family":"Khalili Golmankhaneh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Diana","family":"Pham","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rawid","family":"Banchuin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hamdullah","family":"\u015eevli","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,9,24]]},"reference":[{"issue":"11","key":"3338_CR1","doi-asserted-by":"publisher","first-page":"1889","DOI":"10.1016\/j.compbiomed.2013.07.030","volume":"43","author":"S Agrawal","year":"2013","unstructured":"S. Agrawal, A. Gupta, Fractal and emd based removal of baseline wander and powerline interference from ecg signals. Comput. Biol. Med. 43(11), 1889\u20131899 (2013)","journal-title":"Comput. Biol. Med."},{"key":"3338_CR2","unstructured":"A.\u00a0Antoniou, Digital filters: Analysis, design, and applications. McGraw-Hill (2005)"},{"key":"3338_CR3","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2023.114306","volume":"177","author":"L \u00c1valos-Ru\u00edz","year":"2023","unstructured":"L. \u00c1valos-Ru\u00edz, C. Z\u00fa\u00f1iga-Aguilar, J. G\u00f3mez-Aguilar, H. Cortes-Campos, J. Lav\u00edn-Delgado, A rgb image encryption technique using chaotic maps of fractional variable-order based on dna encoding. Chaos Solit. Fractals 177, 114306 (2023)","journal-title":"Chaos Solit. Fractals"},{"issue":"5","key":"3338_CR4","doi-asserted-by":"publisher","first-page":"1464","DOI":"10.1108\/COMPEL-08-2021-0269","volume":"41","author":"R Banchuin","year":"2022","unstructured":"R. Banchuin, Noise analysis of electrical circuits on fractal set. Compel- Int. J. Comput. Math. Electr. Electron. Eng. 41(5), 1464\u20131490 (2022)","journal-title":"Compel- Int. J. Comput. Math. Electr. Electron. Eng."},{"issue":"1","key":"3338_CR5","doi-asserted-by":"publisher","first-page":"528","DOI":"10.1108\/COMPEL-06-2021-0210","volume":"41","author":"R Banchuin","year":"2022","unstructured":"R. Banchuin, Nonlocal fractal calculus based analyses of electrical circuits on fractal set. Compel- Int. J. Comput. Math. Electr. Electron. Eng. 41(1), 528\u2013549 (2022)","journal-title":"Compel- Int. J. Comput. Math. Electr. Electron. Eng."},{"issue":"4","key":"3338_CR6","doi-asserted-by":"publisher","first-page":"543","DOI":"10.1007\/BF00318785","volume":"79","author":"MT Barlow","year":"1988","unstructured":"M.T. Barlow, E.A. Perkins, Brownian motion on the sierpinski gasket. Probab. Theory Rel. 79(4), 543\u2013623 (1988)","journal-title":"Probab. Theory Rel."},{"key":"3338_CR7","volume-title":"Fractals Everywhere","author":"MF Barnsley","year":"2014","unstructured":"M.F. Barnsley, Fractals Everywhere (Academic Press, Boston, 2014)"},{"issue":"2","key":"3338_CR8","doi-asserted-by":"publisher","first-page":"597","DOI":"10.1007\/s11587-018-0390-z","volume":"67","author":"D Bongiorno","year":"2018","unstructured":"D. Bongiorno, Derivatives not first return integrable on a fractal set. Ric. Mat. 67(2), 597\u2013604 (2018)","journal-title":"Ric. Mat."},{"issue":"1","key":"3338_CR9","doi-asserted-by":"publisher","first-page":"157","DOI":"10.14321\/realanalexch.40.1.0157","volume":"40","author":"D Bongiorno","year":"2015","unstructured":"D. Bongiorno, G. Corrao, An integral on a complete metric measure space. Real Anal. Exch. 40(1), 157\u2013178 (2015)","journal-title":"Real Anal. Exch."},{"issue":"02","key":"3338_CR10","doi-asserted-by":"publisher","first-page":"1550008","DOI":"10.1142\/S0218348X15500085","volume":"23","author":"D Bongiorno","year":"2015","unstructured":"D. Bongiorno, G. Corrao, On the fundamental theorem of calculus for fractal sets. Fractals 23(02), 1550008 (2015)","journal-title":"Fractals"},{"key":"3338_CR11","volume-title":"Theory and Design of Linear Analog Filters","author":"EW Cheney","year":"1945","unstructured":"E.W. Cheney, Theory and Design of Linear Analog Filters (McGraw-Hill, New York, 1945)"},{"issue":"1","key":"3338_CR12","doi-asserted-by":"publisher","first-page":"131","DOI":"10.4171\/rmi\/452","volume":"22","author":"DE Dutkay","year":"2006","unstructured":"D.E. Dutkay, P.E. Jorgensen, Wavelets on fractals. Rev. Mat. Iberoam. 22(1), 131\u2013180 (2006)","journal-title":"Rev. Mat. Iberoam."},{"key":"3338_CR13","volume-title":"Fractal Geometry: Mathematical Foundations and Applications","author":"K Falconer","year":"2004","unstructured":"K. Falconer, Fractal Geometry: Mathematical Foundations and Applications (John Wiley & Sons, New York, 2004)"},{"key":"3338_CR14","volume-title":"Fractals","author":"J Feder","year":"2013","unstructured":"J. Feder, Fractals (Springer Science & Business Media, Berlin, 2013)"},{"key":"3338_CR15","doi-asserted-by":"publisher","first-page":"419","DOI":"10.1007\/s11012-005-2107-0","volume":"40","author":"U Freiberg","year":"2005","unstructured":"U. Freiberg, Analysis on fractal objects. Meccanica 40, 419\u2013436 (2005)","journal-title":"Meccanica"},{"issue":"3","key":"3338_CR16","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1023\/A:1014085203265","volume":"16","author":"U Freiberg","year":"2002","unstructured":"U. Freiberg, M. Z\u00e4hle, Harmonic calculus on fractals-a measure geometric approach I. Potential Anal. 16(3), 265\u2013277 (2002)","journal-title":"Potential Anal."},{"key":"3338_CR17","doi-asserted-by":"publisher","DOI":"10.1201\/9781315152264","volume-title":"Fractals: Concepts and Applications in Geosciences","author":"B Ghanbarian","year":"2017","unstructured":"B. Ghanbarian, A.G. Hunt, Fractals: Concepts and Applications in Geosciences (CRC Press, FL, 2017)"},{"issue":"23","key":"3338_CR18","doi-asserted-by":"publisher","first-page":"e215","DOI":"10.1161\/01.CIR.101.23.e215","volume":"101","author":"AL Goldberger","year":"2000","unstructured":"A.L. Goldberger, L.A.N. Amaral, L. Glass, J.M. Hausdorff, P.C. Ivanov, R.G. Mark, J.E. Mietus, G.B. Moody, C.-K. Peng, H.E. Stanley, Components of a new research resource for complex physiologic signals. Circulation 101(23), e215\u2013e220 (2000)","journal-title":"Circulation"},{"key":"3338_CR19","doi-asserted-by":"publisher","DOI":"10.1142\/12988","volume-title":"Fractal Calculus and its Applications","author":"AK Golmankhaneh","year":"2022","unstructured":"A.K. Golmankhaneh, Fractal Calculus and its Applications (World Scientific, Singapore, 2022)"},{"issue":"3","key":"3338_CR20","first-page":"595","volume":"10","author":"AK Golmankhaneh","year":"2021","unstructured":"A.K. Golmankhaneh, K. Ali, R. Yilmazer, M. Kaabar, Local fractal Fourier transform and applications. Comput. Methods Differ. Equ. 10(3), 595\u2013607 (2021)","journal-title":"Comput. Methods Differ. Equ."},{"issue":"1","key":"3338_CR21","doi-asserted-by":"publisher","first-page":"542","DOI":"10.1515\/phys-2016-0062","volume":"14","author":"AK Golmankhaneh","year":"2016","unstructured":"A.K. Golmankhaneh, D. Baleanu, Non-local integrals and derivatives on fractal sets with applications. Open Phys. 14(1), 542\u2013548 (2016)","journal-title":"Open Phys."},{"key":"3338_CR22","volume":"472","author":"AK Golmankhaneh","year":"2024","unstructured":"A.K. Golmankhaneh, D. Bongiorno, Exact solutions of some fractal differential equations. Appl. Math. Comput. 472, 128633 (2024)","journal-title":"Appl. Math. Comput."},{"issue":"11","key":"3338_CR23","doi-asserted-by":"publisher","first-page":"786","DOI":"10.3390\/axioms13110786","volume":"13","author":"AK Golmankhaneh","year":"2024","unstructured":"A.K. Golmankhaneh, D. Bongiorno, Fractal differential equations of 2 $$\\alpha$$-order. Axioms 13(11), 786 (2024)","journal-title":"Axioms"},{"issue":"3","key":"3338_CR24","doi-asserted-by":"publisher","DOI":"10.1063\/5.0042813","volume":"31","author":"AK Golmankhaneh","year":"2021","unstructured":"A.K. Golmankhaneh, K. Kamal Ali, R. Yilmazer, K. Welch, Electrical circuits involving fractal time. Chaos 31(3), 033132 (2021)","journal-title":"Chaos"},{"key":"3338_CR25","volume":"449","author":"AK Golmankhaneh","year":"2023","unstructured":"A.K. Golmankhaneh, I. Tejado, H. \u015eevli, J.E.N. Vald\u00e9s, On initial value problems of fractal delay equations. Appl. Math. Comput. 449, 127980 (2023)","journal-title":"Appl. Math. Comput."},{"issue":"14","key":"3338_CR26","doi-asserted-by":"publisher","first-page":"2140002","DOI":"10.1142\/S0217732321400022","volume":"36","author":"AK Golmankhaneh","year":"2021","unstructured":"A.K. Golmankhaneh, K. Welch, Equilibrium and non-equilibrium statistical mechanics with generalized fractal derivatives: A review. Mod. Phys. Lett. A 36(14), 2140002 (2021)","journal-title":"Mod. Phys. Lett. A"},{"issue":"3","key":"3338_CR27","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1515\/gmj-2023-2094","volume":"31","author":"KA Golmankhaneh","year":"2024","unstructured":"K.A. Golmankhaneh, K. Welch, C. Serpa, P.E. J\u00f8rgensen, Fractal Mellin transform and non-local derivatives. Georgian Math. J. 31(3), 423\u2013436 (2024)","journal-title":"Georgian Math. J."},{"issue":"2","key":"3338_CR28","doi-asserted-by":"publisher","first-page":"1111","DOI":"10.1007\/s41478-023-00677-1","volume":"32","author":"KA Golmankhaneh","year":"2024","unstructured":"K.A. Golmankhaneh, K. Welch, C. Serpa, R. Rodr\u00edguez-L\u00f3pez, Fractal Laplace transform: Analyzing fractal curves. J. Anal. 32(2), 1111\u20131137 (2024)","journal-title":"J. Anal."},{"key":"3338_CR29","doi-asserted-by":"publisher","first-page":"71699","DOI":"10.1109\/ACCESS.2018.2882405","volume":"6","author":"M Gonzalez-Lee","year":"2018","unstructured":"M. Gonzalez-Lee, H. Vazquez-Leal, J.F. Gomez-Aguilar, L.J. Morales-Mendoza, V.M. Jimenez-Fernandez, J.R. Laguna-Camacho, C.M. Calderon-Ramon, Exploring the cross-correlation as a means for detecting digital watermarks and its reformulation into the fractional calculus framework. IEEE Access 6, 71699\u201371718 (2018)","journal-title":"IEEE Access"},{"issue":"1","key":"3338_CR30","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.physa.2012.08.002","volume":"392","author":"A Hartmann","year":"2013","unstructured":"A. Hartmann, P. Mukli, Z. Nagy, L. Kocsis, P. Herm\u00e1n, A. Eke, Real-time fractal signal processing in the time domain. XXPhys. A 392(1), 89\u2013102 (2013)","journal-title":"XXPhys. A"},{"issue":"1","key":"3338_CR31","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1016\/S1007-5704(98)90054-5","volume":"3","author":"H Jiang","year":"1998","unstructured":"H. Jiang, W. Su, Some fundamental results of calculus on fractal sets. Commun. Nonlinear Sci. Numer. Simul. 3(1), 22\u201326 (1998)","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"3338_CR32","volume-title":"Analysis and Probability: Wavelets, Signals, Fractals","author":"PE Jorgensen","year":"2006","unstructured":"P.E. Jorgensen, Analysis and Probability: Wavelets, Signals, Fractals, vol. 234 (Springer Science & Business Media, New York, 2006)"},{"key":"3338_CR33","doi-asserted-by":"publisher","DOI":"10.1090\/cbms\/128","volume-title":"Harmonic Analysis: Smooth and Non-smooth","author":"PET Jorgensen","year":"2018","unstructured":"P.E.T. Jorgensen, Harmonic Analysis: Smooth and Non-smooth (American Mathematical Society, Rhode Island, 2018)"},{"issue":"1","key":"3338_CR34","first-page":"27","volume":"1","author":"DA Juraev","year":"2024","unstructured":"D.A. Juraev, N.M. Mammadzada, Fractals and its applications. Karshi Multidis. Int. Sci. J. 1(1), 27\u201340 (2024)","journal-title":"Karshi Multidis. Int. Sci. J."},{"issue":"1","key":"3338_CR35","first-page":"71","volume":"24","author":"KA Kamal","year":"2021","unstructured":"K.A. Kamal, A.K. Golmankhaneh, R. Yilmazer, Battery discharging model on fractal time sets. Int. J. Nonlin. Sci. Num. 24(1), 71\u201380 (2021)","journal-title":"Int. J. Nonlin. Sci. Num."},{"key":"3338_CR36","doi-asserted-by":"crossref","unstructured":"J.\u00a0Karnewar, V.\u00a0Shandilya, Preprocessing ECG signal by eliminating various noises using denoising methods, in AIP Conference Proceedings, 2424, (AIP Publishing, 2022)","DOI":"10.1063\/5.0076807"},{"key":"3338_CR37","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511470943","volume-title":"Analysis on Fractals, 143","author":"J Kigami","year":"2001","unstructured":"J. Kigami, Analysis on Fractals, 143 (Cambridge University Press, Cambridge, 2001)"},{"issue":"2","key":"3338_CR38","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/0165-1684(91)90130-B","volume":"24","author":"V Krishnamurthy","year":"1991","unstructured":"V. Krishnamurthy, J.B. Moore, S.-H. Chung, On hidden fractal model signal processing. Signal Process. 24(2), 177\u2013192 (1991)","journal-title":"Signal Process."},{"issue":"8","key":"3338_CR39","doi-asserted-by":"publisher","first-page":"23173","DOI":"10.1007\/s11042-023-16428-0","volume":"83","author":"J Lav\u00edn-Delgado","year":"2024","unstructured":"J. Lav\u00edn-Delgado, J.F. G\u00f3mez-Aguilar, D. Urueta-Hinojosa, Z. Zamudio-Beltr\u00e1n, J. Alan\u00eds-Navarro, An efficient technique for object recognition using fractional Harris-Stephens corner detection algorithm. Multim. Tools Appl. 83(8), 23173\u201323199 (2024)","journal-title":"Multim. Tools Appl."},{"issue":"04","key":"3338_CR40","doi-asserted-by":"publisher","first-page":"755","DOI":"10.1142\/S0218348X95000679","volume":"3","author":"J Levy-Vehel","year":"1995","unstructured":"J. Levy-Vehel, Fractal approaches in signal processing. Fractals 3(04), 755\u2013775 (1995)","journal-title":"Fractals"},{"key":"3338_CR41","volume-title":"The Fractal Geometry of Nature","author":"BB Mandelbrot","year":"1982","unstructured":"B.B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman, New York, 1982)"},{"key":"3338_CR42","doi-asserted-by":"publisher","DOI":"10.1016\/j.dsp.2022.103494","volume":"126","author":"O Martinez-Fuentes","year":"2022","unstructured":"O. Martinez-Fuentes, J.J. Montesinos-Garc\u00eda, J.F. G\u00f3mez-Aguilar, Generalized synchronization of commensurate fractional-order chaotic systems: Applications in secure information transmission. Digital Signal Processing 126, 103494 (2022)","journal-title":"Digital Signal Processing"},{"key":"3338_CR43","volume-title":"Fractal Functions, Fractal Surfaces, and Wavelets","author":"PR Massopust","year":"2017","unstructured":"P.R. Massopust, Fractal Functions, Fractal Surfaces, and Wavelets (Academic Press, Massachusetts, 2017)"},{"key":"3338_CR44","doi-asserted-by":"publisher","DOI":"10.1142\/1579","volume-title":"Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity","author":"L Nottale","year":"1993","unstructured":"L. Nottale, Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity (World Scientific, Singapore, 1993)"},{"key":"3338_CR45","volume-title":"Discrete-Time Signal Processing","author":"AV Oppenheim","year":"2010","unstructured":"A.V. Oppenheim, R.W. Schafer, Discrete-Time Signal Processing (Prentice Hall, Upper Saddle River, 2010)"},{"issue":"03","key":"3338_CR46","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1142\/S0218348X11005440","volume":"19","author":"A Parvate","year":"2011","unstructured":"A. Parvate, A. Gangal, Calculus on fractal subsets of real line-II: Conjugacy with ordinary calculus. Fractals 19(03), 271\u2013290 (2011)","journal-title":"Fractals"},{"issue":"01","key":"3338_CR47","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1142\/S0218348X09004181","volume":"17","author":"A Parvate","year":"2009","unstructured":"A. Parvate, A.D. Gangal, Calculus on fractal subsets of real line-I: Formulation. Fractals 17(01), 53\u201381 (2009)","journal-title":"Fractals"},{"issue":"01","key":"3338_CR48","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1142\/S0218348X1100518X","volume":"19","author":"A Parvate","year":"2011","unstructured":"A. Parvate, S. Satin, A. Gangal, Calculus on fractal curves in $$\\mathbb{R} ^{n}$$. Fractals 19(01), 15\u201327 (2011)","journal-title":"Fractals"},{"key":"3338_CR49","doi-asserted-by":"publisher","DOI":"10.1007\/b97624","volume-title":"Chaos and Fractals: New Frontiers of Science","author":"H-O Peitgen","year":"2004","unstructured":"H.-O. Peitgen, H. J\u00fcrgens, D. Saupe, Chaos and Fractals: New Frontiers of Science (Springer, New York, 2004)"},{"key":"3338_CR50","volume-title":"Fractals in Physics","author":"L Pietronero","year":"1986","unstructured":"L. Pietronero, E. Tosatti, Fractals in Physics (Elsevier, Amsterdam, 1986)"},{"key":"3338_CR51","volume-title":"Digital Signal Processing: Principles, Algorithms, and Applications","author":"JG Proakis","year":"2007","unstructured":"J.G. Proakis, D.G. Manolakis, Digital Signal Processing: Principles, Algorithms, and Applications (Prentice Hall, Upper Saddle River, 2007)"},{"key":"3338_CR52","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1016\/j.chaos.2013.03.013","volume":"52","author":"SE Satin","year":"2013","unstructured":"S.E. Satin, A. Parvate, A. Gangal, Fokker-Planck equation on fractal curves. Chaos Solit. Fractals 52, 30\u201335 (2013)","journal-title":"Chaos Solit. Fractals"},{"key":"3338_CR53","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1016\/j.bspc.2018.05.002","volume":"45","author":"RR Sharma","year":"2018","unstructured":"R.R. Sharma, R.B. Pachori, Baseline wander and power line interference removal from ecg signals using eigenvalue decomposition. Biomed. Signal Process. Control 45, 33\u201349 (2018)","journal-title":"Biomed. Signal Process. Control"},{"issue":"1","key":"3338_CR54","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1146\/annurev.pc.39.100188.001413","volume":"39","author":"MF Shlesinger","year":"1988","unstructured":"M.F. Shlesinger, Fractal time in condensed matter. Annu. Rev. Phys. Chem. 39(1), 269\u2013290 (1988)","journal-title":"Annu. Rev. Phys. Chem."},{"issue":"6","key":"3338_CR55","doi-asserted-by":"publisher","first-page":"1224","DOI":"10.1063\/1.523395","volume":"18","author":"FH Stillinger","year":"1977","unstructured":"F.H. Stillinger, Axiomatic basis for spaces with noninteger dimension. J. Math. Phys. 18(6), 1224\u20131234 (1977)","journal-title":"J. Math. Phys."},{"key":"3338_CR56","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-14003-7","volume-title":"Fractional Dynamics","author":"VE Tarasov","year":"2010","unstructured":"V.E. Tarasov, Fractional Dynamics (Springer, Berlin Heidelberg, New York, 2010)"},{"issue":"5","key":"3338_CR57","doi-asserted-by":"publisher","first-page":"737","DOI":"10.3390\/math10050737","volume":"10","author":"D Val\u00e9rio","year":"2022","unstructured":"D. Val\u00e9rio, M.D. Ortigueira, A.M. Lopes, How many fractional derivatives are there? Mathematics 10(5), 737 (2022)","journal-title":"Mathematics"},{"key":"3338_CR58","doi-asserted-by":"publisher","DOI":"10.1142\/7659","volume-title":"Fractal Time","author":"S Vrobel","year":"2011","unstructured":"S. Vrobel, Fractal Time (World Scientific, Singapore, 2011)"},{"key":"3338_CR59","volume-title":"A Fractal Topology of Time: Deepening into Timelessness","author":"K Welch","year":"2020","unstructured":"K. Welch, A Fractal Topology of Time: Deepening into Timelessness (Fox Finding Press, Austin, 2020)"},{"key":"3338_CR60","volume-title":"Electronic Filter Design Handbook","author":"AB Williams","year":"2006","unstructured":"A.B. Williams, F.J. Taylor, Electronic Filter Design Handbook (McGraw-Hill, New York, 2006)"},{"issue":"2","key":"3338_CR61","doi-asserted-by":"publisher","first-page":"581","DOI":"10.1016\/0022-247X(88)90273-9","volume":"129","author":"W Withers","year":"1988","unstructured":"W. Withers, Fundamental theorems of calculus for Hausdorff measures on the real line. J. Math. Anal. Appl. 129(2), 581\u2013595 (1988)","journal-title":"J. Math. Anal. Appl."},{"key":"3338_CR62","volume-title":"Signal processing with fractals: a wavelet-based approach","author":"G Wornell","year":"1996","unstructured":"G. Wornell, Signal processing with fractals: a wavelet-based approach (Prentice Hall Press, New Jersey, 1996)"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-025-03338-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-025-03338-9","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-025-03338-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,25]],"date-time":"2026-04-25T09:02:30Z","timestamp":1777107750000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-025-03338-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,24]]},"references-count":62,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2026,4]]}},"alternative-id":["3338"],"URL":"https:\/\/doi.org\/10.1007\/s00034-025-03338-9","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,9,24]]},"assertion":[{"value":"13 July 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 August 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 August 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 September 2025","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 have no conflict of interest to declare that are relevant to the content of this study.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}