메뉴 건너뛰기




Volumn 30, Issue 1, 1984, Pages 2-16

Lattice Filter Parametrization and Modeling of Nonstationary Processes

Author keywords

[No Author keywords available]

Indexed keywords

SIGNAL FILTERING AND PREDICTION;

EID: 0021230482     PISSN: 00189448     EISSN: 15579654     Source Type: Journal    
DOI: 10.1109/TIT.1984.1056849     Document Type: Article
Times cited : (55)

References (33)
  • 1
    • 0003874959 scopus 로고    scopus 로고
    • Linear Prediction of Speech
    • New York; Springer-Verlag
    • J. D. Markel and A. H. Gray, Jr., Linear Prediction of Speech. New York; Springer-Verlag, 1978.
    • Markel, J.D.1    Gray, A.H.2
  • 2
    • 0003394767 scopus 로고    scopus 로고
    • Multichannel Time Series Analysis with Digital Computers
    • San Francisco: Holden-Day
    • E. A. Robinson, Multichannel Time Series Analysis with Digital Computers, 2nd ed. San Francisco: Holden-Day, 1978.
    • Robinson, E.A.1
  • 3
    • 0009958205 scopus 로고
    • Covariance characterization by partial autocorrelation matrices
    • M. Morf, A. Vieira, and T. Kailath, “Covariance characterization by partial autocorrelation matrices,” Ann. Statist., vol. 6, no. 3, pp. 643-648, 1978. (See also IEEE Trans. Geosci. Electron., vol. GE-16, pp. 85–94, April 1978.)
    • (1978) Ann. Statist. , vol.6 , Issue.3 , pp. 643-648
    • Morf, M.1    Vieira, A.2    Kailath, T.3
  • 4
    • 0017998430 scopus 로고
    • Three-chip system synthesizes human speech
    • R. H. Wiggins and L. Brantingham, “Three-chip system synthesizes human speech,” Electron., pp. 109ff, Aug. 31, 1978.
    • (1978) Electron. , pp. 109ff
    • Wiggins, R.H.1    Brantingham, L.2
  • 5
    • 0017545107 scopus 로고
    • Stable and efficient lattice methods for linear predict- ' ion
    • J. Makhoul, “Stable and efficient lattice methods for linear predict- ' ion,” IEEE Trans. Acoust., Speech, Signal Proc., vol. ASSP-25, pp. 423–428, Oct. 1977.
    • (1977) IEEE Trans. Acoust., Speech, Signal Proc. , vol.ASSP-25 , pp. 423-428
    • Makhoul, J.1
  • 6
    • 0019679326 scopus 로고
    • Schur and Levinson algorithms for nonstationary processes
    • Atlanta GA
    • H. Lev-Ari and T. Kailath, “Schur and Levinson algorithms for nonstationary processes,” in Proc. Int. Conf. Acoustics, Speech, Signal Proc., Atlanta GA, pp. 860–864, Mar. 1981.
    • (1981) Proc. Int. Conf. Acoustics, Speech, Signal Proc. , pp. 860-864
    • Lev-Ari, H.1    Kailath, T.2
  • 8
    • 0017951648 scopus 로고
    • Displacement ranks of matrices and linear equations
    • T. Kailath, S.-Y. Kung, and M. Morf, “Displacement ranks of matrices and linear equations,” J. Math. Anal. Appl., vol. 68, pp. 395-407, 1979. (See also Bull. Amer. Math. Soc., vol. 1, pp. 769–773, Sept. 1979.)
    • (1979) J. Math. Anal. Appl. , vol.68 , pp. 395-407
    • Kailath, T.1    Kung, S.Y.2    Morf, M.3
  • 9
    • 0019583149 scopus 로고
    • Recursive least squares ladder estimation algorithms
    • D. T. L. Lee, M. Morf, and B. Friedlander, “Recursive least squares ladder estimation algorithms,” IEEE Trans. Circuits Syst., vol. CAS-28, pp. 467–481, 1981.
    • (1981) IEEE Trans. Circuits Syst. , vol.CAS-28 , pp. 467-481
    • Lee, D.T.L.1    Morf, M.2    Friedlander, B.3
  • 10
    • 0018005108 scopus 로고
    • Extended Levinson and Chandrasekhar equations for general discrete-time linear estimation problems
    • B. Friedlander, T. Kailath, M. Morf, and L. Ljung, “Extended Levinson and Chandrasekhar equations for general discrete-time linear estimation problems,” IEEE Trans. Automatic Contr., vol. AC-23, no. 4, pp. 653–659, Aug. 1978.
    • (1978) IEEE Trans. Automatic Contr. , vol.AC-23 , Issue.4 , pp. 653-659
    • Friedlander, B.1    Kailath, T.2    Morf, M.3    Ljung, L.4
  • 11
    • 0040877017 scopus 로고    scopus 로고
    • Algorithms for finite shift-rank processes
    • Ph.D. dissertation Dept. of Electrical Eng., Stanford University, Stanford, CA
    • J. M. Delosme, “Algorithms for finite shift-rank processes,” Ph.D. dissertation, Dept. of Electrical Eng., Stanford University, Stanford, CA, Sept. 1982.
    • Delosme, J.M.1
  • 12
    • 84941455741 scopus 로고
    • Uber Potenzreihen, die in Innem des Einheitskreises Beschrankt Sind
    • I. Schur, “Uber Potenzreihen, die in Innem des Einheitskreises Beschrankt Sind,” J. fur die Reine und Angewandte Mathematik, vol. 147, pp. 205–232, Berlin,-1917.
    • (1917) J. fur die Reine und Angewandte Mathematik , vol.147 , pp. 205-232
    • Schur, I.1
  • 13
    • 0018008220 scopus 로고
    • On a generalized Szego-Levinson realization algorithm for optimal linear predictors based on a network synthesis approach
    • P. Dewilde, A. Vieira, and T. Kailath, “On a generalized Szego-Levinson realization algorithm for optimal linear predictors based on a network synthesis approach,” IEEE Trans. Circuits Systs., vol. CAS-25, pp. 663–675, Sept. 1978.
    • (1978) IEEE Trans. Circuits Systs. , vol.CAS-25 , pp. 663-675
    • Dewilde, P.1    Vieira, A.2    Kailath, T.3
  • 14
    • 0019589376 scopus 로고
    • Schur recursions, error formulas, and convergence of rational estimators for stationary stochastic processes
    • P. Dewilde and H. Dym, “Schur recursions, error formulas, and convergence of rational estimators for stationary stochastic processes,” IEEE Trans. Inform. Theory, vol. IT-27, no. 4, pp. 446–461, July 1981.
    • (1981) IEEE Trans. Inform. Theory , vol.IT-27 , Issue.4 , pp. 446-461
    • Dewilde, P.1    Dym, H.2
  • 15
    • 0003217929 scopus 로고    scopus 로고
    • Orthogonal Polynomials
    • Providence, RI: American Mathematical Society Colloquium Publishing
    • G. Szego, Orthogonal Polynomials, Vol. 23. Providence, RI: American Mathematical Society Colloquium Publishing, 1939.
    • , vol.23
    • Szego, G.1
  • 16
    • 0004276030 scopus 로고    scopus 로고
    • Orthogonal Polynomials
    • New York: Consultant’s Bureau
    • Y. Geronimus, Orthogonal Polynomials. New York: Consultant’s Bureau, 1961.
    • Geronimus, Y.1
  • 17
    • 0001229563 scopus 로고
    • Inverses of Toeplitz operators, innovations, and orthogonal polynomials
    • T. Kailath, A. Vieira, and M. Morf, “Inverses of Toeplitz operators, innovations, and orthogonal polynomials,” SIAM Rev., vol. 20, no. 1, pp. 106–119, 1978.
    • (1978) SIAM Rev. , vol.20 , Issue.1 , pp. 106-119
    • Kailath, T.1    Vieira, A.2    Morf, M.3
  • 18
    • 0003435397 scopus 로고    scopus 로고
    • Operator Colligations in Hilbert Spaces
    • New York: Wiley and Sons
    • M. S. Livsic and A. A. Yantsevich, Operator Colligations in Hilbert Spaces. New York: Wiley and Sons 1979.
    • Livsic, M.S.1    Yantsevich, A.A.2
  • 19
    • 71449085763 scopus 로고
    • Unitary operator colligations and their characteristic functions
    • M. Brodskii, “Unitary operator colligations and their characteristic functions,” Russian Math. Surveys, vol. 33, pp. 159–191, 1978.
    • (1978) Russian Math. Surveys , vol.33 , pp. 159-191
    • Brodskii, M.1
  • 21
    • 0004023804 scopus 로고
    • Nonstationary lattice-filtering modeling
    • Ph.D. dissertation, Stanford University, Stanford, CA
    • H. Lev-Ari, “Nonstationary lattice-filtering modeling,” Ph.D. dissertation, Stanford University, Stanford, CA, 1983.
    • (1983)
    • Lev-Ari, H.1
  • 23
    • 0020717082 scopus 로고
    • A polynomial approach to the generalized Levinson algorithm
    • P. Delsarte, Y. Genin, and Y. Kamp, “A polynomial approach to the generalized Levinson algorithm,” IEEE Trans. Inform. Theory, vol. IT-30, no. 2, pp. 268–278, Mar. 1983.
    • (1983) IEEE Trans. Inform. Theory , vol.IT-30 , Issue.2 , pp. 268-278
    • Delsarte, P.1    Genin, Y.2    Kamp, Y.3
  • 24
    • 0003449348 scopus 로고    scopus 로고
    • Linear Algebra and Its Applications
    • New York, NY: Academic Press
    • G. Strang, Linear Algebra and Its Applications. New York, NY: Academic Press, 1980.
    • Strang, G.1
  • 25
    • 0000723833 scopus 로고
    • Numerical solution of linear equations with Toeplitz and vector toeplitz matrices
    • E. H. Bareiss, “Numerical solution of linear equations with Toeplitz and vector toeplitz matrices,” Numer. Math., vol. 13, pp. 404–424, Oct. 1969.
    • (1969) Numer. Math. , vol.13 , pp. 404-424
    • Bareiss, E.H.1
  • 26
    • 0003420247 scopus 로고
    • Fast algorithms for multivariable systems
    • Ph.D. dissertation, Dept. of Electrical Eng., Stanford University, Stanford, CA
    • M. Morf, “Fast algorithms for multivariable systems,” Ph.D. dissertation, Dept. of Electrical Eng., Stanford University, Stanford, CA, 1974.
    • (1974)
    • Morf, M.1
  • 27
    • 84968491140 scopus 로고
    • Algorithms for triangular decomposition of block Hankel and Toeplitz matrices with application to factoring positive matrix polynomials
    • J. Rissanen, “Algorithms for triangular decomposition of block Hankel and Toeplitz matrices with application to factoring positive matrix polynomials,” Math. Comput., vol. 27, pp. 147–154, Jan. 1973.
    • (1973) Math. Comput. , vol.27 , pp. 147-154
    • Rissanen, J.1
  • 28
    • 0003707293 scopus 로고
    • Levinson and fast Cholesky algorithms for Toeplitz and almost toeplitz matrices
    • B. R. Musicus, “Levinson and fast Cholesky algorithms for Toeplitz and almost toeplitz matrices,” Internal Rep. MIT, Nov. 1981.
    • (1981) Internal Rep. MIT
    • Musicus, B.R.1
  • 30
    • 0000081585 scopus 로고
    • Asymptotically fast solution of Toeplitz and related systems of linear equations
    • R. R. Bitmead and B. D. O. Anderson, “Asymptotically fast solution of Toeplitz and related systems of linear equations,” J. Linear Algebra Its Appl., vol. 34, pp. 103–116, Dec. 1980.
    • (1980) J. Linear Algebra Its Appl. , vol.34 , pp. 103-116
    • Bitmead, R.R.1    Anderson, B.D.O.2
  • 31
    • 84944990233 scopus 로고
    • Orthogonal triangularization methods for fast estimation algorithms
    • Ph.D. dissertation Dept. of Elec. Eng., Stanford University, Stanford, CA
    • D. R. Morgan, “Orthogonal triangularization methods for fast estimation algorithms,” Ph.D. dissertation, Dept. of Elec. Eng., Stanford University, Stanford, CA, 1983.
    • (1983)
    • Morgan, D.R.1
  • 32
    • 0003517057 scopus 로고
    • The Classical Moment Problem
    • New York: Hafner Publishing
    • N. I. Akhiezer, The Classical Moment Problem. New York: Hafner Publishing, 1965 (Russian original, 1961).
    • (1965)
    • Akhiezer, N.I.1
  • 33
    • 5844297152 scopus 로고
    • Theory of reproducing kernels
    • N. Aronszajn, “Theory of reproducing kernels,” Trans. Amer. Math. Soc., vol. 68, pp. 337–404, 1950.
    • (1950) Trans. Amer. Math. Soc. , vol.68 , pp. 337-404
    • Aronszajn, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.