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Volumn 45, Issue 9, 1998, Pages 945-961

Nonlinear system identification by the haar multiresolution analysis

Author keywords

Composite nonlinear systems; Convergence analysis; Haar multiresolution; Multiresolution analysis; Nonlinear system identification; Nonparametric regression; Wavelets

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; NONLINEAR SYSTEMS; WAVELET TRANSFORMS;

EID: 0032155666     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.721260     Document Type: Article
Times cited : (56)

References (49)
  • 3
    • 0019082388 scopus 로고    scopus 로고
    • "Identification of nonlinear systems - A survey," vol. 127, pp. 272-285, 1980.
    • S. A. Billings, "Identification of nonlinear systems - A survey," Proc. Inst. Elect. Eng., vol. 127, pp. 272-285, 1980.
    • Proc. Inst. Elect. Eng.
    • Billings, S.A.1
  • 4
    • 0017699409 scopus 로고    scopus 로고
    • "The identification of a particular nonlinear time series system," vol. 64, pp. 509-515, 1977.
    • D. R. Brillinger, "The identification of a particular nonlinear time series system," Biometrika, vol. 64, pp. 509-515, 1977.
    • Biometrika
    • Brillinger, D.R.1
  • 5
    • 0029184531 scopus 로고    scopus 로고
    • "Modeling and identification of parallel nonlinear systems: Structural classification and parameter estimation methods," vol. 83, pp. 39-66, 1995.
    • H. W. Chen, "Modeling and identification of parallel nonlinear systems: Structural classification and parameter estimation methods," Proc. IEEE, vol. 83, pp. 39-66, 1995.
    • Proc. IEEE
    • Chen, H.W.1
  • 8
    • 0041958932 scopus 로고    scopus 로고
    • "Ideal spatial adaptation by wavelet shrinkage," vol. 81, pp. 425-455, 1994.
    • D. L. Donoho and I. M. Johnstone, "Ideal spatial adaptation by wavelet shrinkage," Biometrika, vol. 81, pp. 425-455, 1994.
    • Biometrika
    • Donoho, D.L.1    Johnstone, I.M.2
  • 9
    • 38249020430 scopus 로고    scopus 로고
    • "Density estimation with Haar series," vol. 9, pp. 111-117, 1990.
    • J. Engel, "Density estimation with Haar series," Stat. Probab. Lett., vol. 9, pp. 111-117, 1990.
    • Stat. Probab. Lett.
    • Engel, J.1
  • 12
    • 0028529248 scopus 로고    scopus 로고
    • "Nonparametric identification of Wiener systems by orthogonal series," vol. 10, pp. 2077-2086, 1994.
    • W. Greblicki, "Nonparametric identification of Wiener systems by orthogonal series," IEEE Trans. Automat. Contr., vol. 10, pp. 2077-2086, 1994.
    • IEEE Trans. Automat. Contr.
    • Greblicki, W.1
  • 13
    • 51249178643 scopus 로고    scopus 로고
    • "Fourier and Hermite series estimates of regression functions," vol. 37A, pp. 443-454, 1985.
    • W. Greblicki and M. Pawlak, "Fourier and Hermite series estimates of regression functions," Ann. Inst. Statist. Math., vol. 37A, pp. 443-454, 1985.
    • Ann. Inst. Statist. Math.
    • Greblicki, W.1    Pawlak, M.2
  • 14
    • 0022440372 scopus 로고    scopus 로고
    • "Identification of discrete Hammerstein systems using kernel regression estimates," vol. 31, pp. 74-77, 1986.
    • _, "Identification of discrete Hammerstein systems using kernel regression estimates," IEEE Trans. Automat. Contr., vol. 31, pp. 74-77, 1986.
    • IEEE Trans. Automat. Contr.
  • 15
    • 0001762601 scopus 로고    scopus 로고
    • "Cascade nonlinear system identification by a nonparametric method," vol. 25, pp. 129-153, 1994.
    • _, "Cascade nonlinear system identification by a nonparametric method," Int. J. Syst. Sci., vol. 25, pp. 129-153, 1994.
    • Int. J. Syst. Sci.
  • 16
    • 0024628999 scopus 로고    scopus 로고
    • "Nonparametric identification of Hammerstein systems," vol. 35, pp. 409-418, 1989.
    • _, "Nonparametric identification of Hammerstein systems," IEEE Trans. Inform. Theory, vol. 35, pp. 409-418, 1989.
    • IEEE Trans. Inform. Theory
  • 17
    • 0025792340 scopus 로고    scopus 로고
    • "Nonparametric identification of a cascade nonlinear time series system," vol. 22, pp. 61-75, 1991.
    • _, "Nonparametric identification of a cascade nonlinear time series system," Signal Processing, vol. 22, pp. 61-75, 1991.
    • Signal Processing
  • 18
    • 0026842725 scopus 로고    scopus 로고
    • "Nonparametric identification of a particular nonlinear time series system," vol. 40, pp. 985-989, Apr. 1992.
    • , "Nonparametric identification of a particular nonlinear time series system," IEEE Trans. Signal Processing, vol. 40, pp. 985-989, Apr. 1992.
    • IEEE Trans. Signal Processing
  • 19
    • 0028514192 scopus 로고    scopus 로고
    • "Dynamic system identification with order statistics," vol. 40, pp. 1474-1489, 1994.
    • _, "Dynamic system identification with order statistics," IEEE Trans. Inform. Theory, vol. 40, pp. 1474-1489, 1994.
    • IEEE Trans. Inform. Theory
  • 20
    • 33747869453 scopus 로고    scopus 로고
    • "Nonparametric recovering nonlinearities in block-oriented system with the help of Laguerre polynomials," vol. 10, pp. 771-791, 1994.
    • _, "Nonparametric recovering nonlinearities in block-oriented system with the help of Laguerre polynomials," Contr. Theory Advanced Technol., vol. 10, pp. 771-791, 1994.
    • Contr. Theory Advanced Technol.
  • 21
    • 0025464263 scopus 로고    scopus 로고
    • "Structure identification of nonlinear dynamic systems - A survey on input/output approaches," vol. 26, pp. 651-677, 1990.
    • R. Haber and H. Unbenhauen, "Structure identification of nonlinear dynamic systems - A survey on input/output approaches," Automatica, vol. 26, pp. 651-677, 1990.
    • Automatica
    • Haber, R.1    Unbenhauen, H.2
  • 22
    • 33747859789 scopus 로고    scopus 로고
    • "Formulae for mean integrated squared error of nonlinear wavelet-based density estimators," vol. 23, pp. 905-928, 1995.
    • P. Hall and P. Patil, "Formulae for mean integrated squared error of nonlinear wavelet-based density estimators," Ann. Stat., vol. 23, pp. 905-928, 1995.
    • Ann. Stat.
    • Hall, P.1    Patil, P.2
  • 24
    • 84909719647 scopus 로고    scopus 로고
    • "How far are automatically chosen regression smoothing parameters from their optimum? (with discussion)," vol. 83, pp. 86-101, 1988.
    • W. Härdle, P. Hall, and J. S. Marron, "How far are automatically chosen regression smoothing parameters from their optimum? (with discussion)," J. Amer. Stat. Assoc., vol. 83, pp. 86-101, 1988.
    • J. Amer. Stat. Assoc.
    • Härdle, W.1    Hall, P.2    Marron, J.S.3
  • 25
    • 0022960073 scopus 로고    scopus 로고
    • "The identification of nonlinear biological systems: Wiener and Hammerstein cascade models," vol. 55, pp. 135-144, 1986.
    • I. W. Hunter and M. J. Korenberg, "The identification of nonlinear biological systems: Wiener and Hammerstein cascade models," Biol. Cybern., vol. 55, pp. 135-144, 1986.
    • Biol. Cybern.
    • Hunter, I.W.1    Korenberg, M.J.2
  • 27
    • 33747838214 scopus 로고    scopus 로고
    • "Pointwise convergence of wavelet expansions," vol. 30, pp. 87-94, 1994.
    • S. E. Kelly, M. A. Kon, and L. A. Raphael, "Pointwise convergence of wavelet expansions," Bull. Amer. Math. Soc., vol. 30, pp. 87-94, 1994.
    • Bull. Amer. Math. Soc.
    • Kelly, S.E.1    Kon, M.A.2    Raphael, L.A.3
  • 28
    • 0024738273 scopus 로고    scopus 로고
    • "Identification of discrete Hammerstein systems by the Fourier series regression estimate," vol. 20, pp. 1729-1744, 1989.
    • A. Krzyzak, "Identification of discrete Hammerstein systems by the Fourier series regression estimate," Int. J. Syst. Sci., vol. 20, pp. 1729-1744, 1989.
    • Int. J. Syst. Sci.
    • Krzyzak, A.1
  • 29
    • 0025234172 scopus 로고    scopus 로고
    • "On estimation of a class of nonlinear systems by the kernel regression estimate," vol. 36, pp. 141-152, 1990.
    • _, "On estimation of a class of nonlinear systems by the kernel regression estimate," IEEE Trans. Inform. Theory, vol. 36, pp. 141-152, 1990.
    • IEEE Trans. Inform. Theory
  • 30
    • 84966210236 scopus 로고    scopus 로고
    • "Multiresolution approximation and wavelets," vol. 315, pp. 69-88, 1989.
    • S. Mallat, "Multiresolution approximation and wavelets," Trans. Amer. Math. Soc., vol. 315, pp. 69-88, 1989.
    • Trans. Amer. Math. Soc.
    • Mallat, S.1
  • 31
    • 0029221638 scopus 로고    scopus 로고
    • "Suboptimal identification of nonlinear ARMA models using an orthogonality approach," vol. 42, pp. 14-22, 1995.
    • H. E. Liao and W. S. Sethares, "Suboptimal identification of nonlinear ARMA models using an orthogonality approach," IEEE Trans. Circuits Syst. I, vol. 42, pp. 14-22, 1995.
    • IEEE Trans. Circuits Syst. i
    • Liao, H.E.1    Sethares, W.S.2
  • 35
    • 0004361276 scopus 로고    scopus 로고
    • "On the almost everywhere properties of the kernel regression estimate," vol. 43, pp. 311-326, 1991.
    • M. Pawlak, "On the almost everywhere properties of the kernel regression estimate," Ann. Inst. Statist. Math., vol. 43, pp. 311-326, 1991.
    • Ann. Inst. Statist. Math.
    • Pawlak, M.1
  • 36
    • 0026171066 scopus 로고    scopus 로고
    • "On the series expansion approach to the identification of Hammerstein systems," vol. 36, pp. 763-767, 1991.
    • _, "On the series expansion approach to the identification of Hammerstein systems," IEEE Trans. Automat. Contr., vol. 36, pp. 763-767, 1991.
    • IEEE Trans. Automat. Contr.
  • 37
    • 0028738771 scopus 로고    scopus 로고
    • "On nonparametric identification of cascade nonlinear systems," in 33rd Conf. Decision Contr., 1994, pp. 2866-2867.
    • M. Pawlak and W. Greblicki, "On nonparametric identification of cascade nonlinear systems," in Proc. 33rd Conf. Decision Contr., 1994, pp. 2866-2867.
    • Proc.
    • Pawlak, M.1    Greblicki, W.2
  • 40
    • 0022769432 scopus 로고    scopus 로고
    • "A general approach for nonparametric fitting of functions and their derivatives with application to linear circuits identification," vol. 33, pp. 812-818, 1986.
    • L. Rutkowski, "A general approach for nonparametric fitting of functions and their derivatives with application to linear circuits identification," IEEE Trans. Circuits Syst., vol. 33, pp. 812-818, 1986.
    • IEEE Trans. Circuits Syst.
    • Rutkowski, L.1
  • 41
    • 0024753361 scopus 로고    scopus 로고
    • "On global rate of convergence of some nonparametric identification procedures," vol. 34, pp. 1089-1091, 1989.
    • L. Rutkowski and E. Rafajlowicz, "On global rate of convergence of some nonparametric identification procedures," IEEE Trans. Automat. Contr., vol. 34, pp. 1089-1091, 1989.
    • IEEE Trans. Automat. Contr.
    • Rutkowski, L.1    Rafajlowicz, E.2
  • 42
    • 0026156360 scopus 로고    scopus 로고
    • "Approximation theorems for discrete-time systems," vol. 38, pp. 564-566, 1991.
    • I. W. Sanberg, "Approximation theorems for discrete-time systems," IEEE Trans. Circuits Syst., vol. 38, pp. 564-566, 1991.
    • IEEE Trans. Circuits Syst.
    • Sanberg, I.W.1
  • 45
    • 33747841413 scopus 로고    scopus 로고
    • "Optimal rates of convergence for nonparametric estimators," vol. 8, pp. 1348-1360, 1980.
    • C. J. Stone, "Optimal rates of convergence for nonparametric estimators," Ann. Stat., vol. 8, pp. 1348-1360, 1980.
    • Ann. Stat.
    • Stone, C.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.