메뉴 건너뛰기




Volumn 9, Issue 11, 2002, Pages 382-384

Fast and exact synthesis for 1-D fractional Brownian motion and fractional Gaussian noises

Author keywords

Fast algorithms; Fractional Brownian motion; Fractional Gaussian noises; Synthesis

Indexed keywords

ALGORITHMS; BROWNIAN MOVEMENT; FAST FOURIER TRANSFORMS; MATRIX ALGEBRA;

EID: 0036859273     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2002.805311     Document Type: Article
Times cited : (49)

References (9)
  • 1
    • 0000501589 scopus 로고
    • Fractional Brownian motion, fractional noises and applications
    • B.B. Mandelbrot and J.W. Van Ness, "Fractional Brownian motion, fractional noises and applications," SIAM Rev., vol. 10, pp. 422-438, 1968.
    • (1968) SIAM Rev. , vol.10 , pp. 422-438
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 4
    • 0017981445 scopus 로고
    • Preservation of the rescaled adjusted range: A reassessment of the Hurst phenomenon
    • A.I. MCLeod and K.W. Hipel, "Preservation of the rescaled adjusted range: A reassessment of the Hurst phenomenon," Water Res. Res., vol. 14, pp. 491-508, 1978.
    • (1978) Water Res. Res. , vol.14 , pp. 491-508
    • McLeod, A.I.1    Hipel, K.W.2
  • 5
    • 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., vol. 5, pp. 466-494, 1999.
    • (1999) J. Fourier Anal. Appl. , vol.5 , pp. 466-494
    • Meyer, Y.1    Sellan, F.2    Taqqu, M.S.3
  • 6
    • 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., vol. 18, pp. 1088-1107, 1997.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 1088-1107
    • Dietrich, C.R.1    Newsam, G.N.2
  • 7
    • 0024766366 scopus 로고
    • Embedding nonnegative definite Toeplitz matrices in nonnegative definite circulant matrices, with application to covariance estimation
    • Nov.
    • A. Dembo, C.L. Mallows, and L.A. Shepp, "Embedding nonnegative definite Toeplitz matrices in nonnegative definite circulant matrices, with application to covariance estimation," IEEE Trans. Inform. Theory, vol. 35, pp. 1206-1212, Nov. 1989.
    • (1989) IEEE Trans. Inform. Theory , vol.35 , pp. 1206-1212
    • Dembo, A.1    Mallows, C.L.2    Shepp, L.A.3
  • 8
    • 0002231124 scopus 로고
    • Test for hurst effect
    • R.B. Davies and D.S. Harte, "Test for Hurst effect," Biometrika, vol. 1, pp. 95-101, 1974.
    • (1974) Biometrika , vol.1 , pp. 95-101
    • Davies, R.B.1    Harte, D.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.