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Volumn 40, Issue 8, 1992, Pages 1915-1934

Multiscale Autoregressive Processes, Part I: Schur-Levinson Parametrizations

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; MATHEMATICAL TRANSFORMATIONS; STATISTICAL METHODS;

EID: 0026908846     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.149995     Document Type: Article
Times cited : (62)

References (41)
  • 1
    • 0026907969 scopus 로고
    • Multiscale autoregressive processes, Part II: Lattice structures for whitening and modeling
    • this issue
    • M. Basseville, A. Benveniste, and A. S. Willsky, “Multiscale autoregressive processes, Part II: Lattice structures for whitening and modeling,” this issue, pp. 1935–1954.
    • (1954) , pp. 1935-1954
    • Basseville, M.1    Benveniste, A.2    Willsky, A.S.3
  • 2
    • 0012415620 scopus 로고
    • Fonctions spheriques et fonctions definies positives sur I’arbre homogéne
    • Jan. 14
    • J. P. Amaud, “Fonctions spheriques et fonctions definies positives sur I’arbre homogéne,” C. R. Acad. Sci., t. 290, série A. pp. 99–101, Jan. 14, 1980.
    • (1980) C. R. Acad. Sci., t. , pp. 99-101
    • Amaud, J.P.1
  • 3
    • 84939748383 scopus 로고    scopus 로고
    • La formule de representation spectrale d’un processus Gaussien stationnaire sur un arbre homogene
    • UA 745, Toulouse, France.
    • J. P. Amaud and G. Letac, “La formule de representation spectrale d’un processus Gaussien stationnaire sur un arbre homogene,” Publ. Lab. Stat. and Prob., UA 745, Toulouse, France.
    • Publ. Lab. Stat. and Prob.
    • Amaud, J.P.1    Letac, G.2
  • 5
    • 0024923033 scopus 로고
    • Multiscale statistical signal processing
    • (Glasgow. U.K.)
    • M. Basseville and A. Benveniste, “Multiscale statistical signal processing,” in Proc. ICASSP-89, (Glasgow. U.K.), 1989, pp. 2065–2068.
    • (1989) Proc. ICASSP-89 , pp. 2065-2068
    • Basseville, M.1    Benveniste, A.2
  • 10
    • 84939760942 scopus 로고
    • Methodes d’orthogonalisation en treillis pour le probleme de la realisation stochastique
    • l ’Analyse de Systemes et le Traitement du Signal Editions du CNRS
    • A. Benveniste, “Methodes d’orthogonalisation en treillis pour le probleme de la realisation stochastique,” in Outils et Modeles Mathematiques pour l ‘Automatique, l ’Analyse de Systemes et le Traitement du Signal, vol. 2. Editions du CNRS, 1982 pp. 267–308.
    • (1982) Outils et Modeles Mathematiques pour l ‘Automatique , vol.2 , pp. 267-308
    • Benveniste, A.1
  • 12
    • 84966233568 scopus 로고
    • Multilevel adaptive solutions to boundary value problems
    • A. Brandt, “Multilevel adaptive solutions to boundary value problems,” Math. Comput., vol. 13, pp. 333–390. 1977.
    • (1977) Math. Comput. , vol.13 , pp. 333-390
    • Brandt, A.1
  • 14
    • 0001078128 scopus 로고
    • Harmonic analysis on trees
    • P. Cartier, “Harmonic analysis on trees,” in Proc. Symp. Pure Math., (Providence, RI), vol. 26, 1974, pp. 419–424.
    • (1974) Proc. Symp. Pure Math. , vol.26 , pp. 419-424
    • Cartier, P.1
  • 15
    • 84939743271 scopus 로고
    • Geometrie et analyse sur les arbres
    • Feb.
    • P. Cartier, “Geometrie et analyse sur les arbres,” Seminaire Bour-baki, n407, Feb. 1972.
    • (1972) , Issue.407
    • Cartier, P.1
  • 16
    • 0024883983 scopus 로고
    • Recursive and iterative estimation algorithms for multiresolution stochastic processes
    • (Tampa, FL), Dec.
    • K. C. Chou, A. S. Willsky, A. Benveniste, and M. Basseville, “Recursive and iterative estimation algorithms for multiresolution stochastic processes,” in Proc. IEEE Conf. Decision Contr. (Tampa, FL), Dec. 1989.
    • (1989) Proc. IEEE Conf. Decision Contr.
    • Chou, K.C.1    Willsky, A.S.2    Benveniste, A.3    Basseville, M.4
  • 17
    • 0013521860 scopus 로고
    • A stochastic modeling approach to multiscale signal processing
    • Ph.D. dissertation
    • K. Chou, “A stochastic modeling approach to multiscale signal processing,” Ph.D. dissertation, Dept. Elec. Eng. Comput. Sci., M.I.T., 1991.
    • (1991) Dept. Elec. Eng. Comput. Sci., M.I.T.
    • Chou, K.1
  • 18
    • 84939749991 scopus 로고
    • Multiscale Riccati equation and a two-sweep algorithm for the optimal fusion of multiresolution data
    • (Honolulu, HI), Dec.
    • K. C. Chou and A. S. Willsky, “Multiscale Riccati equation and a two-sweep algorithm for the optimal fusion of multiresolution data,” in Proc. 29th IEEE Conf. Decision Contr. (Honolulu, HI), Dec. 1990.
    • (1990) Proc. 29th IEEE Conf. Decision Contr
    • Chou, K.C.1    Willsky, A.S.2
  • 20
    • 36549090598 scopus 로고
    • Painless nonorthogonal expansions
    • I. Daubechies, A. Grossmann, and Y. Meyer, “Painless nonorthogonal expansions,” J. Math. Phys., vol. 27, pp. 1271–1283, 1986.
    • (1986) J. Math. Phys. , vol.27 , pp. 1271-1283
    • Daubechies, I.1    Grossmann, A.2    Meyer, Y.3
  • 21
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • I. Daubechies, “Orthonormal bases of compactly supported wavelets,” Commun. Pure Appl. Math., vol. 91, pp. 909–996, 1988.
    • (1988) Commun. Pure Appl. Math. , vol.91 , pp. 909-996
    • Daubechies, I.1
  • 22
    • 0025482241 scopus 로고
    • The wavelet transform, time-frequency localization and signal analysis
    • I. Daubechies, “The wavelet transform, time-frequency localization and signal analysis,” IEEE Trans. Inform. Theory, vol. 36, pp. 961–1005, 1990.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , pp. 961-1005
    • Daubechies, I.1
  • 23
    • 84939720080 scopus 로고
    • Etude d’une classe de marches aleatoires sur l’arbre homogene
    • J. P. Arnaud, J. L. Dunau, G. Letac. Publications du Laboratoire de Statistique et Probabilites, Univ. Paul Sabatier, Toulouse, France, June
    • J. L. Dunau, “Etude d'une classe de marches aleatoires sur l’arbre homogene,” in Arbres homogenes et Couples de Gelfand, J. P. Arnaud, J. L. Dunau, G. Letac. Publications du Laboratoire de Statistique et Probabilites, Univ. Paul Sabatier, Toulouse, France, no. 02-83, June 1983.
    • (1983) Arbres homogenes et Couples de Gelfand , Issue.2-83
    • Dunau, J.L.1
  • 24
    • 0021642206 scopus 로고
    • Cycle-octave and related transforms in seismic signal analysis
    • P. Goupillaud, A. Grossmann, and J. Morlet, “Cycle-octave and related transforms in seismic signal analysis,” Geoexploration, vol. 23, pp. 85–102, 1984/1985.
    • (1984) Geoexploration , vol.23 , pp. 85-102
    • Goupillaud, P.1    Grossmann, A.2    Morlet, J.3
  • 25
    • 0000562670 scopus 로고
    • Decomposition of Hardy functions into square integreable wavelets of constant shape
    • A. Grossmann and J. Morlet, “Decomposition of Hardy functions into square integreable wavelets of constant shape,” SIAM J. Math. Anal., vol. 15, pp. 723–736, 1984.
    • (1984) SIAM J. Math. Anal. , vol.15 , pp. 723-736
    • Grossmann, A.1    Morlet, J.2
  • 26
    • 0000767807 scopus 로고
    • Reading and understanding continuous wavelet transforms
    • in Wavelets, Time-Frequency Methods, and Phase Space, 2–20 Dec.
    • A. Grossmann, R. Kronland-Martinet, and J. Morlet, “Reading and understanding continuous wavelet transforms,” in Wavelets, Time-Frequency Methods, and Phase Space, 2–20, Proc. Int. Conf Wavelets (Marseilles, France), Dec. 14–18, 1987, 1989.
    • (1987) Proc. Int. Conf Wavelets (Marseilles, France)
    • Grossmann, A.1    Kronland-Martinet, R.2    Morlet, J.3
  • 28
    • 0002204618 scopus 로고
    • A theorem of I. Schur and its impact on modern signal processing
    • I. Gohberg Ed., Operator Theory: Advances and Applications, Basel, Boston, Stuttgart: Birkhauser
    • T. Kailath, “A theorem of I. Schur and its impact on modern signal processing,” in Schur Methods in Operator Theory and Signal Processing, I. Gohberg Ed., Operator Theory: Advances and Applications, vol. 18. Basel, Boston, Stuttgart: Birkhauser, 1986.
    • (1986) Schur Methods in Operator Theory and Signal Processing , vol.18
    • Kailath, T.1
  • 30
    • 0023532234 scopus 로고
    • A compact multiresolution represeniation: The wavelet model
    • (Miami, FL), Dec.
    • S. G. Mallat, “A compact multiresolution represeniation: The wavelet model,” in Proc. IEEE Workshop Comput. Vision (Miami, FL), Dec. 1987.
    • (1987) Proc. IEEE Workshop Comput. Vision
    • Mallat, S.G.1
  • 31
    • 0024700097 scopus 로고
    • A theory of multiresolution signal decomposition: The wavelet representation
    • S. G. Mallat, “A theory of multiresolution signal decomposition: The wavelet representation,” IEEE Trans. Patt. Anal. Machine Intell., vol. 7, 674–693, 1989.
    • (1989) IEEE Trans. Patt. Anal. Machine Intell. , vol.7 , pp. 674-693
    • Mallat, S.G.1
  • 32
    • 84966210236 scopus 로고
    • Multiresolution approximation and wavelet orthonormal bases of L1
    • June
    • S. G. Mallat, “Multiresolution approximation and wavelet orthonormal bases of L 1,” Trans. Amer. Math. Soc., June 1989.
    • (1989) Trans. Amer. Math. Soc.
    • Mallat, S.G.1
  • 34
    • 0004252812 scopus 로고
    • PA: SIAM
    • S. McCormick, Multigrid Methods, vol. 3 of the SIAM Frontiers Series. Philadelphia, PA: SIAM, 1987.
    • (1987) Multigrid Methods , vol.3
    • McCormick, S.1
  • 37
    • 0019009688 scopus 로고
    • Maximum entropy and the relationship of the partial autocorrelation to the reflection coefficients of a layered system
    • E. A. Robinson and S. Treitel, “Maximum entropy and the relationship of the partial autocorrelation to the reflection coefficients of a layered system,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 28, no. 2, pp. 224–235, 1980.
    • (1980) IEEE Trans. Acoust., Speech, Signal Processing , vol.28 , Issue.2 , pp. 224-235
    • Robinson, E.A.1    Treitel, S.2
  • 38
    • 0022739248 scopus 로고
    • Exact reconstruction techniques for tree-structured subband coders
    • M. J. Smith and T. P. Barnwell, “Exact reconstruction techniques for tree-structured subband coders,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 34, pp. 434–441, 1986.
    • (1986) IEEE Trans. Acoust., Speech, Signal Processing , vol.34 , pp. 434-441
    • Smith, M.J.1    Barnwell, T.P.2
  • 39
    • 0023383122 scopus 로고
    • Quadrature mirror filter banks, M-band extensions, and perfect reconstruction techniques
    • P. P. Vaidyanathan, “Quadrature mirror filter banks, M-band extensions, and perfect reconstruction techniques,” IEEE ASSP Mag., vol. 4, no. 3, pp. 4–20, 1987.
    • (1987) IEEE ASSP Mag. , vol.4 , Issue.3 , pp. 4-20
    • Vaidyanathan, P.P.1
  • 40
    • 0025462413 scopus 로고
    • A Karhunen-Loeve-like expansion for 1/f-processes via wavelets
    • July
    • G. W. Womell, “A Karhunen-Loeve-like expansion for 1/f-processes via wavelets,” IEEE Trans. Inform. Theory, vol. 36, no. 9, pp. 859–861, July 1990.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , Issue.9 , pp. 859-861
    • Womell, G.W.1
  • 41
    • 0026829738 scopus 로고
    • Estimation of fractal signals from noisy measurements using wavelets
    • Mar.
    • G. W. Womell and A. V. Oppenheim, “Estimation of fractal signals from noisy measurements using wavelets,” IEEE Trans. Signal Processing. vol. 40, no. 3, pp. 611–623, Mar. 1992.
    • (1992) IEEE Trans. Signal Processing , vol.40 , Issue.3 , pp. 611-623
    • Womell, G.W.1    Oppenheim, A.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.