메뉴 건너뛰기




Volumn 6, Issue 3, 2012, Pages 401-410

Thiele's continued fractions in digital implementation of noninteger differintegrators

Author keywords

Continued fraction expansion; Digital noninteger order differintegrators; Discretization schemes; IIR filters; Zero pole interlacing

Indexed keywords

COMPARATIVE ANALYSIS; CONTINUED FRACTION; CONTINUED FRACTION EXPANSION; DIFFERINTEGRATORS; DIGITAL IMPLEMENTATION; DISCRETIZATION SCHEME; FRACTIONAL DIFFERINTEGRATORS; INDIRECT METHODS; MINIMUM PHASE; RATIONAL APPROXIMATIONS; SAMPLING PERIOD; TRANSFORMATION RULES; Z-TRANSFER FUNCTION; ZERO-POLE INTERLACING;

EID: 84865493390     PISSN: 18631703     EISSN: 18631711     Source Type: Journal    
DOI: 10.1007/s11760-012-0319-z     Document Type: Article
Times cited : (23)

References (33)
  • 3
    • 0141892682 scopus 로고    scopus 로고
    • Editorial: fractional signal processing and applications
    • Ortigueira M. D., Tenreiro Machado J. A.: Editorial: fractional signal processing and applications. Signal Process. 83(11), 2285-2286 (2003).
    • (2003) Signal Process. , vol.83 , Issue.11 , pp. 2285-2286
    • Ortigueira, M.D.1    Tenreiro Machado, J.A.2
  • 8
    • 0036506044 scopus 로고    scopus 로고
    • Discretization schemes for fractional-order differentiators and integrators
    • Chen Y. Q., Moore K. L.: Discretization schemes for fractional-order differentiators and integrators. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 49(3), 363-367 (2002).
    • (2002) IEEE Trans. Circuits Syst. I Fundam. Theory Appl. , vol.49 , Issue.3 , pp. 363-367
    • Chen, Y.Q.1    Moore, K.L.2
  • 9
    • 0141961689 scopus 로고    scopus 로고
    • A new IIR-type digital fractional order differentiator
    • Chen Y. Q., Vinagre B. M.: A new IIR-type digital fractional order differentiator. Signal Process. 83, 2359-2365 (2003).
    • (2003) Signal Process. , vol.83 , pp. 2359-2365
    • Chen, Y.Q.1    Vinagre, B.M.2
  • 10
    • 15544372160 scopus 로고    scopus 로고
    • Continued fraction expansions approaches to discretizing fractional order derivatives. An expository review
    • Chen Y. Q., Vinagre B. M., Podlubny I.: Continued fraction expansions approaches to discretizing fractional order derivatives. An expository review. Nonlinear Dyn. 38(1-2), 155-170 (2004).
    • (2004) Nonlinear Dyn. , vol.38 , Issue.1-2 , pp. 155-170
    • Chen, Y.Q.1    Vinagre, B.M.2    Podlubny, I.3
  • 11
    • 33947179326 scopus 로고    scopus 로고
    • Concerning continued fractions representation of noninteger order digital differentiators
    • Maione G.: Concerning continued fractions representation of noninteger order digital differentiators. IEEE Signal Process. Lett. 13(12), 725-728 (2006).
    • (2006) IEEE Signal Process. Lett. , vol.13 , Issue.12 , pp. 725-728
    • Maione, G.1
  • 12
    • 46649121871 scopus 로고    scopus 로고
    • Continued fractions approximation of the impulse response of fractional order dynamic dystems
    • Maione G.: Continued fractions approximation of the impulse response of fractional order dynamic dystems. IET Control Theory Appl. 2(7), 564-572 (2008).
    • (2008) IET Control Theory Appl. , vol.2 , Issue.7 , pp. 564-572
    • Maione, G.1
  • 14
    • 0001611264 scopus 로고    scopus 로고
    • Some approximations of fractional order operators used in control theory and applications
    • Vinagre B. M., Podlubny I., Hernandez A., Feliu V.: Some approximations of fractional order operators used in control theory and applications. Fract. Calc. Appl. Anal. 3(3), 231-248 (2000).
    • (2000) Fract. Calc. Appl. Anal. , vol.3 , Issue.3 , pp. 231-248
    • Vinagre, B.M.1    Podlubny, I.2    Hernandez, A.3    Feliu, V.4
  • 15
    • 0027701151 scopus 로고
    • ∞ optimized wave-absorbing control: analytical and experimental results
    • ∞ optimized wave-absorbing control: analytical and experimental results. J. Guid. Control Dyn. 16(6), 1146-1153 (1993).
    • (1993) J. Guid. Control Dyn. , vol.16 , Issue.6 , pp. 1146-1153
    • Matsuda, K.1    Fujii, H.2
  • 16
    • 2942527005 scopus 로고    scopus 로고
    • Exact fractional-order differentiators for polynomial signals
    • Samadi S., Ahmad M. O., Swamy M. N. S.: Exact fractional-order differentiators for polynomial signals. IEEE Signal Process. Lett. 11(6), 529-532 (2004).
    • (2004) IEEE Signal Process. Lett. , vol.11 , Issue.6 , pp. 529-532
    • Samadi, S.1    Ahmad, M.O.2    Swamy, M.N.S.3
  • 17
    • 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), 77-79 (2001).
    • (2001) IEEE Signal Process. Lett. , vol.8 , Issue.3 , pp. 77-79
    • Tseng, C.-C.1
  • 18
    • 0033881047 scopus 로고    scopus 로고
    • Computation of fractional derivatives using Fourier transform and digital FIR differentiator
    • Tseng C.-C., Pei S.-C., Hsia S.-C.: Computation of fractional derivatives using Fourier transform and digital FIR differentiator. Signal Process. 80(1), 151-159 (2000).
    • (2000) Signal Process. , vol.80 , Issue.1 , pp. 151-159
    • Tseng, C.-C.1    Pei, S.-C.2    Hsia, S.-C.3
  • 19
    • 0242270972 scopus 로고    scopus 로고
    • Two direct Tustin discretization methods for fractional-order differentiator/integrator
    • Vinagre B. M., Chen Y. Q., Petras I.: Two direct Tustin discretization methods for fractional-order differentiator/integrator. J. Franklin Inst. 340(5), 349-362 (2003).
    • (2003) J. Franklin Inst. , vol.340 , Issue.5 , pp. 349-362
    • Vinagre, B.M.1    Chen, Y.Q.2    Petras, I.3
  • 20
    • 0030651602 scopus 로고    scopus 로고
    • Analysis and design of fractional-order digital control systems
    • Tenreiro Machado J. A.: Analysis and design of fractional-order digital control systems. J. Syst. Anal. Model. Simul. 27, 107-122 (1997).
    • (1997) J. Syst. Anal. Model. Simul. , vol.27 , pp. 107-122
    • Tenreiro Machado, J.A.1
  • 21
    • 67349106716 scopus 로고    scopus 로고
    • Approximating fractional derivatives in the perspective of system control
    • Tenreiro Machado J. A., Galhano A.: Approximating fractional derivatives in the perspective of system control. Nonlinear Dyn. 56, 401-407 (2009).
    • (2009) Nonlinear Dyn. , vol.56 , pp. 401-407
    • Tenreiro Machado, J.A.1    Galhano, A.2
  • 22
    • 0013314246 scopus 로고
    • Continued fractions with applications
    • C. Brezinski and L. Wuytack (Eds.), Amsterdam: North-Holland
    • Lorentzen L., Waadeland H.: Continued fractions with applications. In: Brezinski, C., Wuytack, L. (eds.) Studies in Computational Mathematics 3, North-Holland, Amsterdam (1992).
    • (1992) Studies in Computational Mathematics , vol.3
    • Lorentzen, L.1    Waadeland, H.2
  • 23
    • 33745932867 scopus 로고    scopus 로고
    • Time domain design of fractional differintegrators using least-squares
    • Barbosa R. S., Tenreiro Machado J. A., Silva M. F.: Time domain design of fractional differintegrators using least-squares. Signal Process. 86(10), 2567-2581 (2006).
    • (2006) Signal Process. , vol.86 , Issue.10 , pp. 2567-2581
    • Barbosa, R.S.1    Tenreiro Machado, J.A.2    Silva, M.F.3
  • 24
    • 33748569516 scopus 로고    scopus 로고
    • Computation of fractional order derivative and integral via power series expansion and signal modelling
    • Ferdi Y.: Computation of fractional order derivative and integral via power series expansion and signal modelling. Nonlinear Dyn. 46(1-2), 1-15 (2006).
    • (2006) Nonlinear Dyn. , vol.46 , Issue.1-2 , pp. 1-15
    • Ferdi, Y.1
  • 27
    • 0027545685 scopus 로고
    • Novel digital integrator and differentiator
    • Al-Alaoui M. A.: Novel digital integrator and differentiator. Electron. Lett. 29(4), 376-378 (1993).
    • (1993) Electron. Lett. , vol.29 , Issue.4 , pp. 376-378
    • Al-Alaoui, M.A.1
  • 29
    • 0029293540 scopus 로고
    • A class of second-order integrators and low-pass differentiators
    • Al-Alaoui M. A.: A class of second-order integrators and low-pass differentiators. IEEE Trans. Circuits Syst. I Fundam. Theory Appl. 42(4), 220-223 (1995).
    • (1995) IEEE Trans. Circuits Syst. I Fundam. Theory Appl. , vol.42 , Issue.4 , pp. 220-223
    • Al-Alaoui, M.A.1
  • 30
    • 0031248761 scopus 로고    scopus 로고
    • Filling the gap between the bilinear and the backward difference transforms: an interactive design approach
    • Al-Alaoui M. A.: Filling the gap between the bilinear and the backward difference transforms: an interactive design approach. Int. J. Elect. Eng. Educ. 34(4), 331-337 (1997).
    • (1997) Int. J. Elect. Eng. Educ. , vol.34 , Issue.4 , pp. 331-337
    • Al-Alaoui, M.A.1
  • 31
    • 84865499976 scopus 로고    scopus 로고
    • Conditions for a class of rational approximants of fractional differentiators/integrators to enjoy the interlacing property
    • Milano, Italy, August 28-September 2
    • Maione, G.: Conditions for a class of rational approximants of fractional differentiators/integrators to enjoy the interlacing property. In: Preprints of the 18th IFAC World Congress, pp. 13984-13989. Milano, Italy, August 28-September 2 (2011).
    • (2011) Preprints of the 18th IFAC World Congress , pp. 13984-13989
    • Maione, G.1
  • 32
    • 79952600760 scopus 로고    scopus 로고
    • High-speed digital realizations of fractional operators in the delta domain
    • Maione G.: High-speed digital realizations of fractional operators in the delta domain. IEEE Trans. Autom. Control 56(3), 697-702 (2011).
    • (2011) IEEE Trans. Autom. Control , vol.56 , Issue.3 , pp. 697-702
    • Maione, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.