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Volumn 44, Issue 3, 1998, Pages 1111-1124

Some distributional properties of the continuous wavelet transform of random processes

Author keywords

Fractional brownian fields; Random fields; Random processes; Wavelet transform

Indexed keywords

FUNCTIONS; POLYNOMIALS; PROBABILITY; RANDOM PROCESSES; SET THEORY; WAVELET TRANSFORMS;

EID: 0032069912     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.669179     Document Type: Article
Times cited : (13)

References (13)
  • 1
    • 0029308413 scopus 로고
    • On the continuous wavelet transform of second order processes
    • S. Cambanis and C. Houdré, "On the continuous wavelet transform of second order processes," IEEE Trans. Inform. Theory, vol. 41, pp. 628-642, 1995.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 628-642
    • Cambanis, S.1    Houdré, C.2
  • 2
    • 84963012029 scopus 로고
    • Some theorems on distribution functions
    • H. Cramér and H. Wold, "Some theorems on distribution functions," J. London Math. Soc., vol. 11, pp. 290-294, 1936.
    • (1936) J. London Math. Soc. , vol.11 , pp. 290-294
    • Cramér, H.1    Wold, H.2
  • 4
    • 34250842720 scopus 로고
    • On the spectrum of fractional Brownian motions
    • P. Flandrin, "On the spectrum of fractional Brownian motions," IEEE Trans. Inform. Theory, vol. 35, pp. 197-199, 1989.
    • (1989) IEEE Trans. Inform. Theory , vol.35 , pp. 197-199
    • Flandrin, P.1
  • 5
    • 0002047331 scopus 로고
    • Wavelets, probability and statistics: Some bridges
    • J. J. Benedetto and M. W. Frazier, Eds. Boca Raton, FL: CRC
    • C. Houdré, "Wavelets, probability and statistics: Some bridges," in Wavelets: Mathematics and Applications, J. J. Benedetto and M. W. Frazier, Eds. Boca Raton, FL: CRC, 1993, pp. 361-394.
    • (1993) Wavelets: Mathematics and Applications , pp. 361-394
    • Houdré, C.1
  • 6
    • 0029343183 scopus 로고
    • Multiresolution analysis of a class of nonstationary processes
    • H. Krim and J. C. Pesquet, "Multiresolution analysis of a class of nonstationary processes," IEEE Trans. Inform. Theory, vol. 41, pp. 1010-1020, 1995.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 1010-1020
    • Krim, H.1    Pesquet, J.C.2
  • 7
    • 0027147153 scopus 로고
    • The wavelet transform of stochastic processes with stationary increments and its application to fractional Brownian motion
    • E. Masry, "The wavelet transform of stochastic processes with stationary increments and its application to fractional Brownian motion," IEEE Trans. Inform. Theory, vol. 39, pp. 260-264, 1993.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 260-264
    • Masry, E.1
  • 8
    • 0026190345 scopus 로고
    • On the wavelet transform of fractional Brownian motion
    • J. Ramanathan and O. Zeitouni, "On the wavelet transform of fractional Brownian motion," IEEE Trans. Inform. Theory, vol. 37, pp. 1156-1158, 1991.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 1156-1158
    • Ramanathan, J.1    Zeitouni, O.2
  • 11
    • 0025462413 scopus 로고
    • A Karhunen-Loéve like expansion for 1/f processes via wavelets
    • G. W. Wornell, "A Karhunen-Loéve like expansion for 1/f processes via wavelets," IEEE Trans. Inform. Theory, vol. 36, pp. 859-861, 1990.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , pp. 859-861
    • Wornell, G.W.1
  • 13
    • 0002277771 scopus 로고
    • Remarques sur certaines constructions des mouvements browniens fractionnaires
    • XXII Lecture Notes in Mathematics, 1321. Berlin, New York: Springer
    • M. Yor, "Remarques sur certaines constructions des mouvements browniens fractionnaires," Séminaire de Probabilités (XXII Lecture Notes in Mathematics, 1321). Berlin, New York: Springer, 1988, pp. 217-224.
    • (1988) Séminaire de Probabilités , pp. 217-224
    • Yor, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.