메뉴 건너뛰기




Volumn 46, Issue 1-2, 2006, Pages 1-15

Computation of fractional order derivative and integral via power series expansion and signal modelling

Author keywords

Fractional order derivative; Fractional order integral; Mapping function; Power series expansion; Signal modelling s to z transform

Indexed keywords

COMPUTATIONAL METHODS; CONFORMAL MAPPING; DIFFERENTIATION (CALCULUS); INTEGRATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; TRANSFER FUNCTIONS;

EID: 33748569516     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-9000-1     Document Type: Article
Times cited : (67)

References (25)
  • 1
    • 0033637562 scopus 로고    scopus 로고
    • Un filtre numérique basé sur la dérivation non entière pour l'Analyse du signal électrocardiographique
    • Ferdi, Y., Herbeuval, J. P., and Charef, A., 'Un filtre numérique basé sur la dérivation non entière pour l'analyse du signal électrocardiographique', ITBM-RBM 21(4), 2000, 205-209.
    • (2000) ITBM-RBM , vol.21 , Issue.4 , pp. 205-209
    • Ferdi, Y.1    Herbeuval, J.P.2    Charef, A.3
  • 2
    • 0348148830 scopus 로고    scopus 로고
    • R wave detection using fractional digital differentiation
    • Ferdi, Y., Herbeuval, J. P., Charef, A., and Boucheham, B., 'R wave detection using fractional digital differentiation', ITBM-RBM 24(5-6), 2003, 273-280.
    • (2003) ITBM-RBM , vol.24 , Issue.5-6 , pp. 273-280
    • Ferdi, Y.1    Herbeuval, J.P.2    Charef, A.3    Boucheham, B.4
  • 4
    • 15544378664 scopus 로고    scopus 로고
    • A fractional linear system view of the fractional Brownian motion
    • Ortigueira, M. D. and Batista, A. G., 'A fractional linear system view of the fractional Brownian motion', Nonlinear Dynamics 38(1-2), 2004, 295-303.
    • (2004) Nonlinear Dynamics , vol.38 , Issue.1-2 , pp. 295-303
    • Ortigueira, M.D.1    Batista, A.G.2
  • 7
    • 77956890381 scopus 로고
    • Fractional differencing
    • Hosking, J. R. M., 'Fractional differencing', Biometrika 68(1), 1981, 165-176.
    • (1981) Biometrika , vol.68 , Issue.1 , pp. 165-176
    • Hosking, J.R.M.1
  • 8
    • 0027666932 scopus 로고
    • Signal modelling with filtered discrete fractional noise processe
    • Deriche, M. and Tewfik, A. H., 'Signal modelling with filtered discrete fractional noise processe', IEEE Transactions on Signal Processing 41(9), 1993, 2839-2849.
    • (1993) IEEE Transactions on Signal Processing , vol.41 , Issue.9 , pp. 2839-2849
    • Deriche, M.1    Tewfik, A.H.2
  • 9
    • 0027676913 scopus 로고
    • Maximum likelihood estimation of the parameters of discrete fractionally differenced Gaussian noise process
    • Deriche, M. and Tewfik, A. H., 'Maximum likelihood estimation of the parameters of discrete fractionally differenced Gaussian noise process', IEEE Transactions on Signal Processing 41(10), 1993, 2977-2989.
    • (1993) IEEE Transactions on Signal Processing , vol.41 , Issue.10 , pp. 2977-2989
    • Deriche, M.1    Tewfik, A.H.2
  • 12
    • 0001611264 scopus 로고    scopus 로고
    • Some approximations of fractional order operators used in control theory and applications
    • Vinagre, B. M., Podlubny, I., Hernandez, A., and Feliu, V., 'Some approximations of fractional order operators used in control theory and applications', Fractional Calculus and Applied Analysis 3(3), 2000, 231-248.
    • (2000) Fractional Calculus and Applied Analysis , vol.3 , Issue.3 , pp. 231-248
    • Vinagre, B.M.1    Podlubny, I.2    Hernandez, A.3    Feliu, V.4
  • 15
    • 31344434347 scopus 로고    scopus 로고
    • Recursive filter approximation of digital fractional differentiator and integrator based on Prony's method
    • Bordeaux, France, July 19-20
    • Ferdi, Y. and Boucheham, B., 'Recursive filter approximation of digital fractional differentiator and integrator based on Prony's method,' in Proceedings of the 1st IFAC Workshop on Fractional Differentiation and its Applications. Bordeaux, France, July 19-20, 2004, pp. 428-433.
    • (2004) Proceedings of the 1st IFAC Workshop on Fractional Differentiation and Its Applications , pp. 428-433
    • Ferdi, Y.1    Boucheham, B.2
  • 18
    • 15544372160 scopus 로고    scopus 로고
    • Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review
    • Chen, Y. Q., Vinagre, B. M. and Podlubny, I., 'Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review', Nonlinear Dynamics 38(1-2), 2004, 155-170.
    • (2004) Nonlinear Dynamics , vol.38 , Issue.1-2 , pp. 155-170
    • Chen, Y.Q.1    Vinagre, B.M.2    Podlubny, I.3
  • 19
    • 0033881047 scopus 로고    scopus 로고
    • Computation of fractional derivatives using Fourier transform and digital FIR differentiator
    • Tseng, C. C., Pei, S. C., and Hsia, S. C., 'Computation of fractional derivatives using Fourier transform and digital FIR differentiator,' Signal Processing 80(1), 2000, 151-159.
    • (2000) Signal Processing , vol.80 , Issue.1 , pp. 151-159
    • Tseng, C.C.1    Pei, S.C.2    Hsia, S.C.3
  • 20
    • 0002591789 scopus 로고
    • Recursion filters for digital processing
    • Shanks, J. L., 'Recursion filters for digital processing,' Geophysics 32(1), 1967, 33-51.
    • (1967) Geophysics , vol.32 , Issue.1 , pp. 33-51
    • Shanks, J.L.1
  • 21
    • 0015752939 scopus 로고
    • Considerations of the Padé approximant technique in the synthesis of recursive digital filters
    • Brophy, F. and Salazar, A. C., 'Considerations of the Padé approximant technique in the synthesis of recursive digital filters,' IEEE Transactions on Audio and Electroacoustics 21(6), 1973, 500-505.
    • (1973) IEEE Transactions on Audio and Electroacoustics , vol.21 , Issue.6 , pp. 500-505
    • Brophy, F.1    Salazar, A.C.2
  • 23
    • 0027545685 scopus 로고
    • Novel digital integrator and differentiator
    • Al-Aaoui, M. A., 'Novel digital integrator and differentiator', Electronics Letters 29(4), 1993, 376-378.
    • (1993) Electronics Letters , vol.29 , Issue.4 , pp. 376-378
    • Al-Aaoui, M.A.1
  • 24
    • 0141961689 scopus 로고    scopus 로고
    • A new IIR-type digital fractional order differentiator
    • Chen, Y. Q. and Vinagre, B. M., 'A new IIR-type digital fractional order differentiator', Signal Processing 83(11), 2003, 2359-2365.
    • (2003) Signal Processing , vol.83 , Issue.11 , pp. 2359-2365
    • Chen, Y.Q.1    Vinagre, B.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.