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Volumn 107, Issue , 2015, Pages 327-339

Two-stage fractional least mean square identification algorithm for parameter estimation of CARMA systems

Author keywords

Fractional adaptive strategies; Fractional signal processing; Least square algorithms; Parameter estimation; Two stage identification

Indexed keywords

ADAPTIVE ALGORITHMS; SIGNAL PROCESSING; SIGNAL TO NOISE RATIO;

EID: 85027939449     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2014.06.015     Document Type: Article
Times cited : (86)

References (49)
  • 1
    • 84887363358 scopus 로고    scopus 로고
    • Hierarchical gradient based and hierarchical least squares based iterative parameter identification for CARARMA systems
    • Z.D. Feng Hierarchical gradient based and hierarchical least squares based iterative parameter identification for CARARMA systems Signal Process 97 2014 31 39
    • (2014) Signal Process , vol.97 , pp. 31-39
    • Feng, Z.D.1
  • 2
    • 84871395862 scopus 로고    scopus 로고
    • Accurate estimation of common sinusoidal parameters in multiple channels
    • F.K.W. Chan, H.-C. So, and W. Sun Accurate estimation of common sinusoidal parameters in multiple channels Signal Process 93 4 2013 742 748
    • (2013) Signal Process , vol.93 , Issue.4 , pp. 742-748
    • Chan, F.K.W.1    So, H.-C.2    Sun, W.3
  • 3
    • 79960912040 scopus 로고    scopus 로고
    • Parameter estimation with scarce measurements
    • F. Ding, G. Liu, and X.P. Liu Parameter estimation with scarce measurements Automatica 47 8 2011 1646 1655
    • (2011) Automatica , vol.47 , Issue.8 , pp. 1646-1655
    • Ding, F.1    Liu, G.2    Liu, X.P.3
  • 4
    • 79551473739 scopus 로고    scopus 로고
    • Least squares based and gradient based iterative identification for Wiener nonlinear systems
    • D. Wang, and F. Ding Least squares based and gradient based iterative identification for Wiener nonlinear systems Signal Process 91 5 2011 1182 1189
    • (2011) Signal Process , vol.91 , Issue.5 , pp. 1182-1189
    • Wang, D.1    Ding, F.2
  • 5
    • 84863012837 scopus 로고    scopus 로고
    • Gradient-based and least-squares-based iterative estimation algorithms for multi-input multi-output systems
    • F. Ding, Y. Liu, and B. Bao Gradient-based and least-squares-based iterative estimation algorithms for multi-input multi-output systems Procee. Instit. Mech. Eng., Part I: J. Syst. Control Eng. 226 1 2012 43 55
    • (2012) Procee. Instit. Mech. Eng., Part I: J. Syst. Control Eng. , vol.226 , Issue.1 , pp. 43-55
    • Ding, F.1    Liu, Y.2    Bao, B.3
  • 6
    • 83555161557 scopus 로고    scopus 로고
    • Hierarchical least squares based iterative estimation algorithm for multivariable Box-Jenkins-like systems using the auxiliary model
    • Z. Zhang, J. Jia, and R. Ding Hierarchical least squares based iterative estimation algorithm for multivariable Box-Jenkins-like systems using the auxiliary model Appl. Math. Comput. 218 9 2012 5580 5587
    • (2012) Appl. Math. Comput. , vol.218 , Issue.9 , pp. 5580-5587
    • Zhang, Z.1    Jia, J.2    Ding, R.3
  • 7
    • 77949486033 scopus 로고    scopus 로고
    • Performance analysis of the auxiliary models based multi-innovation stochastic gradient estimation algorithm for output error systems
    • D. Wang, and F. Ding Performance analysis of the auxiliary models based multi-innovation stochastic gradient estimation algorithm for output error systems Digit. Signal Process 20 3 2010 750 762
    • (2010) Digit. Signal Process , vol.20 , Issue.3 , pp. 750-762
    • Wang, D.1    Ding, F.2
  • 8
    • 77957294731 scopus 로고    scopus 로고
    • Gradient-based iterative parameter estimation for Box-Jenkins systems
    • D. Wang, G. Yang, and R. Ding Gradient-based iterative parameter estimation for Box-Jenkins systems Comput. Math. Appl. 60 5 2010 1200 1208
    • (2010) Comput. Math. Appl. , vol.60 , Issue.5 , pp. 1200-1208
    • Wang, D.1    Yang, G.2    Ding, R.3
  • 9
    • 33745915835 scopus 로고    scopus 로고
    • Gradient-based identification methods for Hammerstein nonlinear ARMAX models
    • F. Ding, Y. Shi, and T. Chen Gradient-based identification methods for Hammerstein nonlinear ARMAX models Nonlinear Dyn. 45 1 2006 31 43
    • (2006) Nonlinear Dyn. , vol.45 , Issue.1 , pp. 31-43
    • Ding, F.1    Shi, Y.2    Chen, T.3
  • 10
    • 77950187988 scopus 로고    scopus 로고
    • Convergence of stochastic gradient estimation algorithm for multivariable ARX-like systems
    • Y. Liu, J. Sheng, and R. Ding Convergence of stochastic gradient estimation algorithm for multivariable ARX-like systems Comput. Math. Appl. 59 8 2010 2615 2627
    • (2010) Comput. Math. Appl. , vol.59 , Issue.8 , pp. 2615-2627
    • Liu, Y.1    Sheng, J.2    Ding, R.3
  • 11
    • 84872587309 scopus 로고    scopus 로고
    • Decomposition based fast least squares algorithm for output error systems
    • F. Ding Decomposition based fast least squares algorithm for output error systems Signal Process 93 5 2013 1235 1242
    • (2013) Signal Process , vol.93 , Issue.5 , pp. 1235-1242
    • Ding, F.1
  • 12
    • 84863116493 scopus 로고    scopus 로고
    • Least squares-based recursive and iterative estimation for output error moving average systems using data filtering
    • D.Q. Wang Least squares-based recursive and iterative estimation for output error moving average systems using data filtering IET Control Theory Appl. 5 14 2011 1648 1657
    • (2011) IET Control Theory Appl. , vol.5 , Issue.14 , pp. 1648-1657
    • Wang, D.Q.1
  • 13
    • 77954174851 scopus 로고    scopus 로고
    • Least squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data
    • Y. Liu, D. Wang, and F. Ding Least squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data Digit. Signal Process 20 5 2010 1458 1467
    • (2010) Digit. Signal Process , vol.20 , Issue.5 , pp. 1458-1467
    • Liu, Y.1    Wang, D.2    Ding, F.3
  • 14
    • 46849098008 scopus 로고    scopus 로고
    • The residual based extended least squares identification method for dual-rate systems
    • J. Ding, and F. Ding The residual based extended least squares identification method for dual-rate systems Comput. Mathem. Appl. 56 6 2008 1479 1487
    • (2008) Comput. Mathem. Appl. , vol.56 , Issue.6 , pp. 1479-1487
    • Ding, J.1    Ding, F.2
  • 15
    • 68749087043 scopus 로고    scopus 로고
    • The residual based interactive least squares algorithms and simulation studies
    • Y. Xiao The residual based interactive least squares algorithms and simulation studies Comput. Math. Appl. 58 6 2009 1190 1197
    • (2009) Comput. Math. Appl. , vol.58 , Issue.6 , pp. 1190-1197
    • Xiao, Y.1
  • 16
    • 77953128333 scopus 로고    scopus 로고
    • Auxiliary model based recursive generalized least squares parameter estimation for Hammerstein OEAR systems
    • D. Wang Auxiliary model based recursive generalized least squares parameter estimation for Hammerstein OEAR systems Math. Comput. Model. 52 1 2010 309 317
    • (2010) Math. Comput. Model. , vol.52 , Issue.1 , pp. 309-317
    • Wang, D.1
  • 17
    • 33947233313 scopus 로고    scopus 로고
    • Auxiliary model-based least-squares identification methods for Hammerstein output-error systems
    • F. Ding, Y. Shi, and T. Chen Auxiliary model-based least-squares identification methods for Hammerstein output-error systems Syst. Control Lett. 56 5 2007 373 380
    • (2007) Syst. Control Lett. , vol.56 , Issue.5 , pp. 373-380
    • Ding, F.1    Shi, Y.2    Chen, T.3
  • 18
    • 74149086591 scopus 로고    scopus 로고
    • Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model
    • Y. Liu, Y. Xiao, and X. Zhao Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model Appl. Math. Comput. 215 4 2009 1477 1483
    • (2009) Appl. Math. Comput. , vol.215 , Issue.4 , pp. 1477-1483
    • Liu, Y.1    Xiao, Y.2    Zhao, X.3
  • 19
    • 63049125735 scopus 로고    scopus 로고
    • Identification for multirate multi-input systems using the multi-innovation identification theory
    • L. Han, and F. Ding Identification for multirate multi-input systems using the multi-innovation identification theory Comput. Math. Appl. 57 9 2009 1438 1449
    • (2009) Comput. Math. Appl. , vol.57 , Issue.9 , pp. 1438-1449
    • Han, L.1    Ding, F.2
  • 20
    • 67349177024 scopus 로고    scopus 로고
    • Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises
    • F. Ding, P.X. Liu, and G. Liu Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises Signal Process 89 10 2009 1883 1890
    • (2009) Signal Process , vol.89 , Issue.10 , pp. 1883-1890
    • Ding, F.1    Liu, P.X.2    Liu, G.3
  • 21
    • 80455150117 scopus 로고    scopus 로고
    • Hierarchical least squares identification for linear SISO systems with dual-rate sampled-data, Automatic Control
    • J. Ding Hierarchical least squares identification for linear SISO systems with dual-rate sampled-data, Automatic Control IEEE Transac. 56 11 2011 2677 2683
    • (2011) IEEE Transac. , vol.56 , Issue.11 , pp. 2677-2683
    • Ding, J.1
  • 22
    • 77649187438 scopus 로고    scopus 로고
    • Hierarchical least-squares based iterative identification for multivariable systems with moving average noises
    • H. Han Hierarchical least-squares based iterative identification for multivariable systems with moving average noises Math. Comput. Model. 51 9 2010 1213 1220
    • (2010) Math. Comput. Model. , vol.51 , Issue.9 , pp. 1213-1220
    • Han, H.1
  • 23
    • 77954175666 scopus 로고    scopus 로고
    • Hierarchical least squares algorithms for single-input multiple-output systems based on the auxiliary model
    • L. Xiang Hierarchical least squares algorithms for single-input multiple-output systems based on the auxiliary model Math. Comput. Model. 52 5 2010 918 924
    • (2010) Math. Comput. Model. , vol.52 , Issue.5 , pp. 918-924
    • Xiang, L.1
  • 24
    • 22344449915 scopus 로고    scopus 로고
    • Identification of Hammerstein nonlinear ARMAX systems
    • F. Ding, and T. Chen Identification of Hammerstein nonlinear ARMAX systems Automatica 41 9 2005 1479 1489
    • (2005) Automatica , vol.41 , Issue.9 , pp. 1479-1489
    • Ding, F.1    Chen, T.2
  • 25
    • 77949486667 scopus 로고    scopus 로고
    • Gradient based and least-squares based iterative identification methods for OE and OEMA systems
    • F. Ding, P.X. Liu, and G. Liu Gradient based and least-squares based iterative identification methods for OE and OEMA systems Digit. Signal Process 20 3 2010 664 677
    • (2010) Digit. Signal Process , vol.20 , Issue.3 , pp. 664-677
    • Ding, F.1    Liu, P.X.2    Liu, G.3
  • 26
    • 77649187438 scopus 로고    scopus 로고
    • Hierarchical least-squares based iterative identification for multivariable systems with moving average noises
    • H. Han Hierarchical least-squares based iterative identification for multivariable systems with moving average noises Math. Comput. Model. 51 9 2010 1213 1220
    • (2010) Math. Comput. Model. , vol.51 , Issue.9 , pp. 1213-1220
    • Han, H.1
  • 27
    • 78951487217 scopus 로고    scopus 로고
    • Hierarchical gradient based iterative parameter estimation algorithm for multivariable output error moving average systems
    • Z. Zhang, F. Ding, and X. Liu Hierarchical gradient based iterative parameter estimation algorithm for multivariable output error moving average systems Comput. Math. Appl. 61 3 2011 672 682
    • (2011) Comput. Math. Appl. , vol.61 , Issue.3 , pp. 672-682
    • Zhang, Z.1    Ding, F.2    Liu, X.3
  • 28
    • 79951956747 scopus 로고    scopus 로고
    • Least squares based iterative parameter estimation algorithm for multivariable controlled ARMA system modelling with finite measurement data
    • B. Bao Least squares based iterative parameter estimation algorithm for multivariable controlled ARMA system modelling with finite measurement data Math. Comput. Model. 53 9 2011 1664 1669
    • (2011) Math. Comput. Model. , vol.53 , Issue.9 , pp. 1664-1669
    • Bao, B.1
  • 29
    • 84880147252 scopus 로고    scopus 로고
    • Two-stage parameter estimation algorithms for Box-Jenkins systems, IET
    • F. Ding, and H. Duan Two-stage parameter estimation algorithms for Box-Jenkins systems, IET Signal Process 7 8 2013 646 654
    • (2013) Signal Process , vol.7 , Issue.8 , pp. 646-654
    • Ding, F.1    Duan, H.2
  • 30
    • 84872619148 scopus 로고    scopus 로고
    • Two-stage least squares based iterative estimation algorithm for CARARMA system modeling
    • F. Ding Two-stage least squares based iterative estimation algorithm for CARARMA system modeling Appl. Math. Model. 37 7 2013 4798 4808
    • (2013) Appl. Math. Model. , vol.37 , Issue.7 , pp. 4798-4808
    • Ding, F.1
  • 31
    • 84865661437 scopus 로고    scopus 로고
    • Two-stage least squares based iterative identification algorithm for controlled autoregressive moving average (CARMA) systems
    • G. Yao, and R. Ding Two-stage least squares based iterative identification algorithm for controlled autoregressive moving average (CARMA) systems Comput. Math. Appl. 63 5 2012 975 984
    • (2012) Comput. Math. Appl. , vol.63 , Issue.5 , pp. 975-984
    • Yao, G.1    Ding, R.2
  • 32
    • 84855196135 scopus 로고    scopus 로고
    • Two-stage recursive least squares parameter estimation algorithm for output error models
    • H. Duan, J. Jia, and R. Ding Two-stage recursive least squares parameter estimation algorithm for output error models Math. Comput. Model. 55 3 2012 1151 1159
    • (2012) Math. Comput. Model. , vol.55 , Issue.3 , pp. 1151-1159
    • Duan, H.1    Jia, J.2    Ding, R.3
  • 33
    • 0033872505 scopus 로고    scopus 로고
    • Introduction to fractional signal processing Part1: Continuous-time systems
    • M.D. Ortigueira Introduction to fractional signal processing Part1: continuous-time systems IEE Proc. Vis. Image Signal Process 147 1 2000 62 70
    • (2000) IEE Proc. Vis. Image Signal Process , vol.147 , Issue.1 , pp. 62-70
    • Ortigueira, M.D.1
  • 34
    • 0033899008 scopus 로고    scopus 로고
    • Introduction to fractional signal processing. Part2: Discrete-time systems
    • M.D. Ortigueira Introduction to fractional signal processing. Part2: discrete-time systems IEE Proc. Vis. Image Signal Process 147 1 2000 71 78
    • (2000) IEE Proc. Vis. Image Signal Process , vol.147 , Issue.1 , pp. 71-78
    • Ortigueira, M.D.1
  • 35
    • 77952818738 scopus 로고    scopus 로고
    • Special issue on fractional signal processing and applications
    • M.D. Ortigueira, and J.A.T. Machado Special issue on fractional signal processing and applications Signal Process. 83 11 2003
    • (2003) Signal Process. , vol.83 , Issue.11
    • Ortigueira, M.D.1    Machado, J.A.T.2
  • 36
    • 44949223984 scopus 로고    scopus 로고
    • Special section: Fractional calculus applications in signals and systems
    • M.D. Ortigueira, and J.A.T. Machado Special section: fractional calculus applications in signals and systems Signal Process. 86 10 2006
    • (2006) Signal Process. , vol.86 , Issue.10
    • Ortigueira, M.D.1    Machado, J.A.T.2
  • 37
    • 84855567178 scopus 로고    scopus 로고
    • Design of linear phase FIR filters using fractional derivative constraints
    • C.-C. Tseng, and S.-L. Lee Design of linear phase FIR filters using fractional derivative constraints Signal Process. 92 5 2012 1317 1327
    • (2012) Signal Process. , vol.92 , Issue.5 , pp. 1317-1327
    • Tseng, C.-C.1    Lee, S.-L.2
  • 38
    • 84872161906 scopus 로고    scopus 로고
    • Designs of two-dimensional linear phase FIR filters using fractional derivative constraints
    • C.-C. Tseng, and S.-L. Lee Designs of two-dimensional linear phase FIR filters using fractional derivative constraints Signal Process. 93 5 2013 1141 1151
    • (2013) Signal Process. , vol.93 , Issue.5 , pp. 1141-1151
    • Tseng, C.-C.1    Lee, S.-L.2
  • 39
    • 84884470185 scopus 로고    scopus 로고
    • Designs of fractional derivative constrained 1-D and 2-D FIR filters in the complex domain
    • C.-C. Tseng, and S.-L. Lee Designs of fractional derivative constrained 1-D and 2-D FIR filters in the complex domain Signal Process. 95 2014 111 125
    • (2014) Signal Process. , vol.95 , pp. 111-125
    • Tseng, C.-C.1    Lee, S.-L.2
  • 40
    • 84890487726 scopus 로고    scopus 로고
    • Fractional zero-phase filtering based on the Riemann-Liouville integral
    • J. Wang Fractional zero-phase filtering based on the Riemann-Liouville integral Signal Process. 98 2014 150 157
    • (2014) Signal Process. , vol.98 , pp. 150-157
    • Wang, J.1
  • 41
    • 70349280469 scopus 로고    scopus 로고
    • A modified least mean square algorithm using fractional derivative and its application to system identification
    • R.M.A. Zahoor, and I.M. Qureshi A modified least mean square algorithm using fractional derivative and its application to system identification Eur. J. Sci. Res. 35 1 2009 14 21
    • (2009) Eur. J. Sci. Res. , vol.35 , Issue.1 , pp. 14-21
    • Zahoor, R.M.A.1    Qureshi, I.M.2
  • 44
    • 84862133329 scopus 로고    scopus 로고
    • Performance analysis of Bessel beamformer and LMS algorithm for smart antenna array in mobile communication system
    • P. Akhtar, M. Yasin, Performance analysis of Bessel beamformer and LMS algorithm for smart antenna array in mobile communication system, Emerging Trends and Applications in Information Communication Technologies, 2012 pp. 52-61.
    • (2012) Emerging Trends and Applications in Information Communication Technologies , pp. 52-61
    • Akhtar, P.1    Yasin, M.2
  • 45
    • 84880320130 scopus 로고    scopus 로고
    • Identification of input nonlinear control autoregressive systems using fractional signal processing approach
    • (ID 467276)
    • N.I. Chaudhary, M.A.Z. Raja, J.A. Khan, and M.S. Aslam Identification of input nonlinear control autoregressive systems using fractional signal processing approach Sci. World J. 2013 2013 1 13 (ID 467276)
    • (2013) Sci. World J. , vol.2013 , pp. 1-13
    • Chaudhary, N.I.1    Raja, M.A.Z.2    Khan, J.A.3    Aslam, M.S.4
  • 49
    • 0021522605 scopus 로고
    • A new algorithm for recursive estimation of parameters in controlled ARMA processes
    • Q.M. David, K.J. Åström, and J.M.C. Clark A new algorithm for recursive estimation of parameters in controlled ARMA processes Automatica 20 6 1984 751 760
    • (1984) Automatica , vol.20 , Issue.6 , pp. 751-760
    • David, Q.M.1    Åström, K.J.2    Clark, J.M.C.3


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