메뉴 건너뛰기




Volumn 35, Issue 5, 2009, Pages 722-729

Impulse invariance-based method for the computation of fractional integral of order 0 < α < 1

Author keywords

1 f Noise; Fractional order integral; Impulse invariance method; Signal modeling

Indexed keywords

1/F-NOISE; APPROXIMATION ACCURACY; EFFICIENT METHOD; FRACTIONAL INTEGRALS; FRACTIONAL ORDER INTEGRAL; FRACTIONAL-ORDER INTEGRATOR; ILLUSTRATIVE EXAMPLES; IMPULSE INVARIANCE METHOD; INITIAL VALUES; MODEL ORDER; POLE-ZERO; REAL NUMBER; SIGNAL MODELING;

EID: 68049113238     PISSN: 00457906     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compeleceng.2009.02.005     Document Type: Article
Times cited : (26)

References (23)
  • 2
    • 35448979806 scopus 로고    scopus 로고
    • Fractional order adaptive high gain controllers for a class of linear systems
    • Ladaci S., Loiseau J.J., and Charef A. Fractional order adaptive high gain controllers for a class of linear systems. Commun Nonlinear Sci Numer Simulat 13 4 (2008) 707-714
    • (2008) Commun Nonlinear Sci Numer Simulat , vol.13 , Issue.4 , pp. 707-714
    • Ladaci, S.1    Loiseau, J.J.2    Charef, A.3
  • 3
  • 4
    • 0035280591 scopus 로고    scopus 로고
    • Design of fractional order digital FIR differentiators
    • Tseng C.-C. Design of fractional order digital FIR differentiators. IEEE Signal Process Lett 8 3 (2001) 77-79
    • (2001) IEEE Signal Process Lett , vol.8 , Issue.3 , pp. 77-79
    • Tseng, C.-C.1
  • 5
    • 31344451095 scopus 로고    scopus 로고
    • Improved design of digital fractional order differentiators using fractional sample delay
    • Tseng C.-C. Improved design of digital fractional order differentiators using fractional sample delay. IEEE Trans Circ Syst-I: Regular Papers 53 1 (2006) 193-203
    • (2006) IEEE Trans Circ Syst-I: Regular Papers , vol.53 , Issue.1 , pp. 193-203
    • Tseng, C.-C.1
  • 6
    • 2942527005 scopus 로고    scopus 로고
    • Exact fractional order differentiators for polynomials signals
    • Samadi S., Omair Ahmed M., and Swamy M.N.S. Exact fractional order differentiators for polynomials signals. IEEE Signal Process Lett 11 6 (2004) 529-532
    • (2004) IEEE Signal Process Lett , vol.11 , Issue.6 , pp. 529-532
    • Samadi, S.1    Omair Ahmed, M.2    Swamy, M.N.S.3
  • 7
    • 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
  • 8
    • 84938156620 scopus 로고
    • A statistical model of flicker noise
    • Barnes J.A., and Allvan D.W. A statistical model of flicker noise. Proc IEEE 54 2 (1966) 176-178
    • (1966) Proc IEEE , vol.54 , Issue.2 , pp. 176-178
    • Barnes, J.A.1    Allvan, D.W.2
  • 9
    • 0020102486 scopus 로고
    • 1/f Noise
    • Keshner M.S. 1/f Noise. Proc IEEE 70 3 (1982) 212-218
    • (1982) Proc IEEE , vol.70 , Issue.3 , pp. 212-218
    • Keshner, M.S.1
  • 10
    • 0029304629 scopus 로고
    • α power law noise generation
    • α power law noise generation. Proc IEEE 83 5 (1995) 802-827
    • (1995) Proc IEEE , vol.83 , Issue.5 , pp. 802-827
    • Kasdin, N.J.1
  • 11
    • 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 Dynam 38 1-2 (2004) 155-170
    • (2004) Nonlinear Dynam , vol.38 , Issue.1-2 , pp. 155-170
    • Chen, Y.Q.1    Vinagre, B.M.2    Podlubny, I.3
  • 12
    • 0036506044 scopus 로고    scopus 로고
    • Discretization schemes for fractional order differentiators and integrators
    • Chen Y.Q., and Moore K.L. Discretization schemes for fractional order differentiators and integrators. IEEE Trans Circ Syst I: Fundam Theor Appl 49 3 (2002) 363-367
    • (2002) IEEE Trans Circ Syst I: Fundam Theor Appl , vol.49 , Issue.3 , pp. 363-367
    • Chen, Y.Q.1    Moore, K.L.2
  • 13
    • 0242270972 scopus 로고    scopus 로고
    • Two direct Tustin discretization methods for fractional order differentiator/integrator
    • Vinagre B.M., Chen Y.Q., and Petras I. Two direct Tustin discretization methods for fractional order differentiator/integrator. J Franklin Inst-Eng Appl Math 340 5 (2003) 349-362
    • (2003) J Franklin Inst-Eng Appl Math , vol.340 , Issue.5 , pp. 349-362
    • Vinagre, B.M.1    Chen, Y.Q.2    Petras, I.3
  • 14
    • 33748569516 scopus 로고    scopus 로고
    • Computation of fractional order derivative and integral via power series expansion and signal modeling
    • Ferdi Y. Computation of fractional order derivative and integral via power series expansion and signal modeling. Nonlinear Dynam 46 1-2 (2006) 1-15
    • (2006) Nonlinear Dynam , vol.46 , Issue.1-2 , pp. 1-15
    • Ferdi, Y.1
  • 16
  • 17
    • 0037179914 scopus 로고    scopus 로고
    • Laguerre approximation of fractional systems
    • Maione G. Laguerre approximation of fractional systems. Electron Lett 38 20 (2002) 1234-1236
    • (2002) Electron Lett , vol.38 , Issue.20 , pp. 1234-1236
    • Maione, G.1
  • 19
    • 84892149890 scopus 로고
    • A technique for the identification of linear systems
    • Steiglitz K., and McBride L.E. A technique for the identification of linear systems. IEEE Trans Automat Control AC-10 (1965) 461-464
    • (1965) IEEE Trans Automat Control , vol.AC-10 , pp. 461-464
    • Steiglitz, K.1    McBride, L.E.2
  • 22
    • 0027545685 scopus 로고
    • Novel digital integrator and differentiator
    • Al-Alaoui M.A. Novel digital integrator and differentiator. Electron Lett 29 4 (1993) 376-378
    • (1993) Electron Lett , vol.29 , Issue.4 , pp. 376-378
    • Al-Alaoui, M.A.1
  • 23
    • 33645508089 scopus 로고    scopus 로고
    • Digital integrator design using simpson rule and fractional delay filter
    • Tseng C.-C. Digital integrator design using simpson rule and fractional delay filter. IEE Proc-VIS, Image Signal Process 153 1 (2006) 79-85
    • (2006) IEE Proc-VIS, Image Signal Process , vol.153 , Issue.1 , pp. 79-85
    • Tseng, C.-C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.