메뉴 건너뛰기




Volumn 56, Issue 3, 1997, Pages 233-253

Stationarity conditions for the L2 error surface of the generalized orthonormal basis functions lattice filter

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION THEORY; ERROR ANALYSIS; FEEDBACK; FUNCTIONS; IDENTIFICATION (CONTROL SYSTEMS); MATRIX ALGEBRA;

EID: 0031073746     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0165-1684(96)00172-7     Document Type: Article
Times cited : (14)

References (55)
  • 1
    • 0041500570 scopus 로고
    • Synthesis of n-reactance networks for desired transient response
    • P.R. Aigrain and E.M. Williams, "Synthesis of n-reactance networks for desired transient response", J. Appl. Phys., Vol. 20, 1949, pp. 597-600.
    • (1949) J. Appl. Phys. , vol.20 , pp. 597-600
    • Aigrain, P.R.1    Williams, E.M.2
  • 2
    • 0028757498 scopus 로고
    • Thresholding in high order transfer function estimation
    • Lake Buena Vista, Florida
    • P. Bodin and B. Wahlberg, "Thresholding in high order transfer function estimation", Proc. 33rd Conf. on Decision and Control, Vol. 4, Lake Buena Vista, Florida, 1994, pp. 3400-3405.
    • (1994) Proc. 33rd Conf. on Decision and Control , vol.4 , pp. 3400-3405
    • Bodin, P.1    Wahlberg, B.2
  • 3
    • 0020706753 scopus 로고
    • A complex gradient operator and its application in adaptive array theory
    • D.H. Brandwood, "A complex gradient operator and its application in adaptive array theory", IEE Proc., Vol. 130, Part F-H, No. 1, 1983, pp. 11-16.
    • (1983) IEE Proc. , vol.130 , Issue.1 PART F-H , pp. 11-16
    • Brandwood, D.H.1
  • 4
    • 0001176891 scopus 로고
    • Discrete orthonormal sequences
    • P.W. Broome, "Discrete orthonormal sequences", J. Assoc. Comput. Mach., Vol. 12, No. 2, 1965, pp. 151-168.
    • (1965) J. Assoc. Comput. Mach. , vol.12 , Issue.2 , pp. 151-168
    • Broome, P.W.1
  • 5
    • 0000857478 scopus 로고
    • On completeness of basis functions used for signal analysis
    • P.R. Clement, "On completeness of basis functions used for signal analysis", SIAM Rev., Vol. 5 No. 2, 1963, pp. 131-139.
    • (1963) SIAM Rev. , vol.5 , Issue.2 , pp. 131-139
    • Clement, P.R.1
  • 6
    • 84939062645 scopus 로고
    • Choice of the time-scaling factor for linear system approximations using orthonormal laguerre functions
    • G.J. Clowes, "Choice of the time-scaling factor for linear system approximations using orthonormal Laguerre functions", IEEE Trans. Automat. Control, Vol. 10, No. 4, 1965, pp. 487-489.
    • (1965) IEEE Trans. Automat. Control , vol.10 , Issue.4 , pp. 487-489
    • Clowes, G.J.1
  • 8
    • 0041500576 scopus 로고
    • Optimally conditions for truncated Kautz series based on n-th order allpass sections
    • M.J.J. Holt, C.F.N. Cowan, P.M. Grant and W.A. Sandham, eds.
    • A.C. den Brinker, "Optimally conditions for truncated Kautz series based on n-th order allpass sections", in: M.J.J. Holt, C.F.N. Cowan, P.M. Grant and W.A. Sandham, eds., Signal Processing VII: Theories and Applications (Proc. EUSIPCO-94), 1994, pp. 1086-1089.
    • (1994) Signal Processing VII: Theories and Applications (Proc. EUSIPCO-94) , pp. 1086-1089
    • Den Brinker, A.C.1
  • 11
    • 0042502334 scopus 로고
    • Representation and closedness of some orthogonal systems
    • M.M. Dzhrbashyan, "Representation and closedness of some orthogonal systems", Sov. J. Contemporary Math. Anal., Vol. 14, No. 6, 1979, pp. 36-81.
    • (1979) Sov. J. Contemporary Math. Anal. , vol.14 , Issue.6 , pp. 36-81
    • Dzhrbashyan, M.M.1
  • 12
    • 0020171266 scopus 로고
    • Lattice filters for adaptive process
    • B. Friedlander, "Lattice filters for adaptive process", Proc. IEEE, Vol. 70, No. 8, 1982, pp. 829-867.
    • (1982) Proc. IEEE , vol.70 , Issue.8 , pp. 829-867
    • Friedlander, B.1
  • 13
    • 0021441691 scopus 로고
    • ∞-error bounds
    • ∞-error bounds", Internat. J. Control, Vol. 39, No. 6, 1984, pp. 1115-1193.
    • (1984) Internat. J. Control , vol.39 , Issue.6 , pp. 1115-1193
    • Glover, K.1
  • 14
    • 0004236492 scopus 로고
    • The Johns Hopkins University Press, Baltimore, 2nd Edition
    • G.H. Golub and C.F. van Loan, Matrix Computations, The Johns Hopkins University Press, Baltimore, 1989, 2nd Edition.
    • (1989) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 17
    • 0003807773 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ, 2nd Edition
    • S. Haykin, Adaptive Filter Theory, Prentice-Hall, Englewood Cliffs, NJ, 1991, 2nd Edition.
    • (1991) Adaptive Filter Theory
    • Haykin, S.1
  • 19
    • 0025544740 scopus 로고
    • Approximate system identification using system based orthonormal functions
    • IEEE, Honolulu, Hawaii
    • P.S.C. Heuberger and O.H. Bosgra, "Approximate system identification using system based orthonormal functions", Proc. 29th Conf. on Decision and Control, IEEE, Honolulu, Hawaii, 1990, pp. 1086-1092.
    • (1990) Proc. 29th Conf. on Decision and Control , pp. 1086-1092
    • Heuberger, P.S.C.1    Bosgra, O.H.2
  • 23
    • 0041500580 scopus 로고
    • Network synthesis for specified transient response
    • Massachusetts Institute of Technology, Research Laboratory of Electronics
    • W.H. Kautz, Network synthesis for specified transient response, Technical Report 209, Massachusetts Institute of Technology, Research Laboratory of Electronics, 1952.
    • (1952) Technical Report 209 , vol.209
    • Kautz, W.H.1
  • 24
    • 84937349081 scopus 로고
    • Transient synthesis in the time domain
    • W.H. Kautz, "Transient synthesis in the time domain", IRE Trans. Circuit Theory, Vol. 1, 1954, pp. 29-39.
    • (1954) IRE Trans. Circuit Theory , vol.1 , pp. 29-39
    • Kautz, W.H.1
  • 25
    • 0014603321 scopus 로고
    • Optimum pole positions for Laguerre-function models
    • J.J. King and T. O'Canainn, "Optimum pole positions for Laguerre-function models", Electron. Lett., Vol. 5, No. 23, 1969, pp. 601-602.
    • (1969) Electron. Lett. , vol.5 , Issue.23 , pp. 601-602
    • King, J.J.1    O'Canainn, T.2
  • 27
    • 33747441485 scopus 로고
    • The Wiener RMS (root mean square) error criterium in filter design and prediction
    • N. Levinson, "The Wiener RMS (root mean square) error criterium in filter design and prediction", J. Math. Phys., Vol. XXV, 1947, pp. 261-278.
    • (1947) J. Math. Phys. , vol.25 , pp. 261-278
    • Levinson, N.1
  • 29
    • 84921127325 scopus 로고
    • Best least-squares representation of signals by exponentials
    • R.N. McDonough and W.H. Huggins, "Best least-squares representation of signals by exponentials", IEEE Trans. Automat. Control, Vol. 13, No. 4, 1968, pp. 408-412.
    • (1968) IEEE Trans. Automat. Control , vol.13 , Issue.4 , pp. 408-412
    • McDonough, R.N.1    Huggins, W.H.2
  • 30
    • 0042001557 scopus 로고
    • On the mean square approximation of a function with a linear combination of exponentials
    • A. Marzollo, "On the mean square approximation of a function with a linear combination of exponentials", Internat. J. Control, Vol. 9, No. 1, 1969, pp. 17-26.
    • (1969) Internat. J. Control , vol.9 , Issue.1 , pp. 17-26
    • Marzollo, A.1
  • 32
    • 0026222304 scopus 로고
    • Optimal laguerre networks for a class of discrete-time systems
    • M.A. Masnadi-Shirazi and N. Ahmed, "Optimal Laguerre networks for a class of discrete-time systems", IEEE Trans. Signal Process., Vol. 39, No. 9. 1991, pp. 2104-2108.
    • (1991) IEEE Trans. Signal Process. , vol.39 , Issue.9 , pp. 2104-2108
    • Masnadi-Shirazi, M.A.1    Ahmed, N.2
  • 33
    • 70349408001 scopus 로고    scopus 로고
    • A unified approach to the synthesis of orthonormal exponential functions useful in systems analysis
    • J.M. Mendel, "A unified approach to the synthesis of orthonormal exponential functions useful in systems analysis", IEEE Trans. Systems Sci. Cybernet., Vol. 2, No. 1, 1996, pp. 54-62.
    • (1996) IEEE Trans. Systems Sci. Cybernet. , vol.2 , Issue.1 , pp. 54-62
    • Mendel, J.M.1
  • 35
    • 0015574719 scopus 로고
    • Least-squares rational Z-transform approximation
    • G. Miller, "Least-squares rational Z-transform approximation", J. Franklin Institute, Vol. 295, No. 1, 1973, pp. 1-7.
    • (1973) J. Franklin Institute , vol.295 , Issue.1 , pp. 1-7
    • Miller, G.1
  • 36
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: Controllability, observability, and model reduction
    • B.C. Moore, "Principal component analysis in linear systems: Controllability, observability, and model reduction", IEEE Trans. Automat. Control, Vol. 26, No. 1, 1981, pp. 17-32.
    • (1981) IEEE Trans. Automat. Control , vol.26 , Issue.1 , pp. 17-32
    • Moore, B.C.1
  • 37
    • 0041500583 scopus 로고
    • English translation of a work written in Portuguese for the "Prémio Científico IBM 94
    • T. Oliveira e Silva, Kautz filters. English translation of a work written in Portuguese for the "Prémio Científico IBM 94, 1994. URL: ftp://inesca.inesca.pt/pub/tos/English/ibm94e.ps.gz.
    • (1994) Kautz Filters
    • Oliveira E Silva, T.1
  • 38
    • 0028498279 scopus 로고
    • Optimality conditions for truncated Laguerre networks
    • T. Oliveira e Silva, "Optimality conditions for truncated Laguerre networks", IEEE Trans. Signal Process., Vol. 42, No. 9, 1994, pp. 2528-2530.
    • (1994) IEEE Trans. Signal Process. , vol.42 , Issue.9 , pp. 2528-2530
    • Oliveira E Silva, T.1
  • 39
    • 0042502326 scopus 로고
    • Laguerre filters an introduction
    • Internal publication of the Electrical and Telecommunications Engineering Department of the University of Aveiro, Portugal
    • T. Oliveira e Silva, "Laguerre filters An introduction", Revista DETU A, Vol. 1, No. 3, 1995, pp. 237-248. Internal publication of the Electrical and Telecommunications Engineering Department of the University of Aveiro, Portugal. URL: ftp://inesca.inesca.pt/pub/tos/English/revdetua.ps.gz.
    • (1995) Revista DETU A , vol.1 , Issue.3 , pp. 237-248
    • Oliveira E Silva, T.1
  • 40
    • 0029305610 scopus 로고
    • Optimality conditions for Laguerre lattice filters
    • T. Oliveira e Silva, "Optimality conditions for Laguerre lattice filters", IEEE Signal Process. Lett., Vol. 2, No. 5, 1995, pp. 97-98.
    • (1995) IEEE Signal Process. Lett. , vol.2 , Issue.5 , pp. 97-98
    • Oliveira E Silva, T.1
  • 41
    • 0029250527 scopus 로고
    • Optimality conditions for truncated second order Kautz networks with two complex conjugate poles
    • T. Oliveira e Silva, "Optimality conditions for truncated second order Kautz networks with two complex conjugate poles", IEEE Trans. Automat. Control, Vol. 40, No. 2, 1995, pp. 342-346.
    • (1995) IEEE Trans. Automat. Control , vol.40 , Issue.2 , pp. 342-346
    • Oliveira E Silva, T.1
  • 45
    • 0001648841 scopus 로고
    • Orthonormal exponentials
    • D.C. Ross, "Orthonormal exponentials", IEEE Trans. Commun. Electron., Vol. 12, No. 71, 1964, pp. 173-176.
    • (1964) IEEE Trans. Commun. Electron. , vol.12 , Issue.71 , pp. 173-176
    • Ross, D.C.1
  • 46
    • 0006753459 scopus 로고
    • The equivalence of digital and analog signal processing
    • K. Steiglitz, "The equivalence of digital and analog signal processing", Inform. Control, Vol. 8, 1965, pp. 455-467.
    • (1965) Inform. Control , vol.8 , pp. 455-467
    • Steiglitz, K.1
  • 47
    • 0022121014 scopus 로고
    • The discrete-time bounded-real lemma in digital filtering
    • P.P. Vaidyanathan, "The discrete-time bounded-real lemma in digital filtering", IEEE Trans. Circuits Systems, Vol. 32, No. 9, 1985, pp. 918-924.
    • (1985) IEEE Trans. Circuits Systems , vol.32 , Issue.9 , pp. 918-924
    • Vaidyanathan, P.P.1
  • 49
    • 0029515671 scopus 로고
    • System identification with generalized orthonormal basis functions
    • P.M.J. Van den Hof, P.S.C. Heuberger and J. Bokor, "System identification with generalized orthonormal basis functions", Automatica, Vol. 31, No. 12, 1995, pp. 1821-1834.
    • (1995) Automatica , vol.31 , Issue.12 , pp. 1821-1834
    • Van Den Hof, P.M.J.1    Heuberger, P.S.C.2    Bokor, J.3
  • 50
    • 0026157695 scopus 로고
    • System identification using Laguerre models
    • B. Wahlberg, "System identification using Laguerre models", IEEE Trans. Automat. Control, Vol. 36, No. 5, 1991, pp. 551-562.
    • (1991) IEEE Trans. Automat. Control , vol.36 , Issue.5 , pp. 551-562
    • Wahlberg, B.1
  • 51
    • 0028449531 scopus 로고
    • System identification using Kautz models
    • B. Wahlberg, "System identification using Kautz models", IEEE Trans. Automat. Control, Vol. 39, No. 6, 1994, pp. 1276-1282.
    • (1994) IEEE Trans. Automat. Control , vol.39 , Issue.6 , pp. 1276-1282
    • Wahlberg, B.1
  • 52
    • 0042001560 scopus 로고
    • American Mathematical Society Colloquium Publications, American Mathematical Society, Providence, RI, 5th Edition
    • J.L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain. American Mathematical Society Colloquium Publications, Vol. XX, American Mathematical Society, Providence, RI, 1975, 5th Edition.
    • (1975) Interpolation and Approximation by Rational Functions in the Complex Domain , vol.20
    • Walsh, J.L.1
  • 53
    • 0028466318 scopus 로고
    • Optimal choice of time-scaling factor for linear system approximations using laguerre models
    • L. Wang and W.R. Cluett, "Optimal choice of time-scaling factor for linear system approximations using Laguerre models", IEEE Trans. Automatic Control, Vol. 39, No. 7, 1994, pp. 1463-1467.
    • (1994) IEEE Trans. Automatic Control , vol.39 , Issue.7 , pp. 1463-1467
    • Wang, L.1    Cluett, W.R.2
  • 54
    • 0001080696 scopus 로고
    • Recursive solution to the multichannel filtering problem
    • R.A. Wiggins and E.A. Robinson, "Recursive solution to the multichannel filtering problem", J. Geophys. Res., Vol. 70, No. 8, 1965, pp. 1885-1891.
    • (1965) J. Geophys. Res. , vol.70 , Issue.8 , pp. 1885-1891
    • Wiggins, R.A.1    Robinson, E.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.