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Volumn 19, Issue 1, 2005, Pages 49-60

Wavelet-based simulation of fractional Brownian motion revisited

Author keywords

FARIMA time series; Fractional Brownian motion; Low and high pass filters; Simulation; Wavelets; Zero moments

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; HIGH PASS FILTERS; RANDOM PROCESSES; SET THEORY; WAVELET TRANSFORMS;

EID: 20144377121     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.acha.2005.01.002     Document Type: Article
Times cited : (29)

References (16)
  • 1
    • 0000481680 scopus 로고    scopus 로고
    • The wavelet-based synthesis for the fractional Brownian motion proposed by F. Sellan and Y. Meyer: Remarks and fast implementation
    • P. Abry, and F. Sellan The wavelet-based synthesis for the fractional Brownian motion proposed by F. Sellan and Y. Meyer: Remarks and fast implementation Appl. Comput. Harm. Anal. 3 4 1996 377 383
    • (1996) Appl. Comput. Harm. Anal. , vol.3 , Issue.4 , pp. 377-383
    • Abry, P.1    Sellan, F.2
  • 6
    • 0000133685 scopus 로고
    • Ten Lectures on Wavelets
    • SIAM Philadelphia
    • I. Daubechies Ten Lectures on Wavelets CBMS-NSF Ser. vol. 61 1992 SIAM Philadelphia
    • (1992) CBMS-NSF Ser. , vol.61
    • Daubechies, I.1
  • 7
    • 0031173547 scopus 로고    scopus 로고
    • Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix
    • C.R. Dietrich, and G.N. Newsam Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix SIAM J. Sci. Comput. 18 4 1997 1088 1107
    • (1997) SIAM J. Sci. Comput. , vol.18 , Issue.4 , pp. 1088-1107
    • Dietrich, C.R.1    Newsam, G.N.2
  • 12
    • 0347598034 scopus 로고    scopus 로고
    • Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion
    • Y. Meyer, F. Sellan, and M.S. Taqqu Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion J. Fourier Anal. Appl. 5 5 1999 465 494
    • (1999) J. Fourier Anal. Appl. , vol.5 , Issue.5 , pp. 465-494
    • Meyer, Y.1    Sellan, F.2    Taqqu, M.S.3
  • 16
    • 0011310050 scopus 로고
    • Synthèse de mouvements browniens fractionnaires à l'aide de la transformation par ondelettes
    • F. Sellan Synthèse de mouvements browniens fractionnaires à l'aide de la transformation par ondelettes C. R. Acad. Sci. Paris Sér. I 321 1995 351 358
    • (1995) C. R. Acad. Sci. Paris Sér. I , vol.321 , pp. 351-358
    • Sellan, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.