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Volumn 24, Issue 4, 1996, Pages 537-543

A comparison of analytical methods for the study of Fractional Brownian motion

Author keywords

Dispersional analysis; Fractals; Fractional Brownian motion; Heart rate variability; Wavelets

Indexed keywords

BIOMEDICAL ENGINEERING; CARDIOLOGY; FRACTALS; RANDOM PROCESSES; REGRESSION ANALYSIS; SIGNAL PROCESSING; SPECTRUM ANALYZERS; WAVELET TRANSFORMS;

EID: 0030199375     PISSN: 00906964     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02648114     Document Type: Review
Times cited : (27)

References (21)
  • 1
    • 0029111885 scopus 로고
    • Wavelets in biomedical engineering
    • Akay, M. Wavelets in biomedical engineering. Ann. Biomed. Eng. 23:531-542, 1995.
    • (1995) Ann. Biomed. Eng. , vol.23 , pp. 531-542
    • Akay, M.1
  • 2
    • 0029329248 scopus 로고
    • Evaluation of the dispersional analysis method for fractal time series
    • Bassingthwaighte, J. B., and G. M. Raymond. Evaluation of the dispersional analysis method for fractal time series. Ann. Biomed. Eng. 23:491-505, 1995.
    • (1995) Ann. Biomed. Eng. , vol.23 , pp. 491-505
    • Bassingthwaighte, J.B.1    Raymond, G.M.2
  • 3
    • 84972520545 scopus 로고
    • Statistical methods for data with long-range dependence
    • Beran, J. Statistical methods for data with long-range dependence. Statistical Sci. 7:404-427, 1992.
    • (1992) Statistical Sci. , vol.7 , pp. 404-427
    • Beran, J.1
  • 5
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • Daubechies, I. Orthonormal bases of compactly supported wavelets. Comm. Pure Appl. Math. 44:909-996, 1988.
    • (1988) Comm. Pure Appl. Math. , vol.44 , pp. 909-996
    • Daubechies, I.1
  • 6
    • 0021286211 scopus 로고
    • Comparing spectra of a series of point events particularly for heart rate variability data
    • DeBoer, R. W., J. M. Karemaker, and J. Strackee. Comparing spectra of a series of point events particularly for heart rate variability data. IEEE Trans. Biomed. Eng. BME-31:384-387, 1984.
    • (1984) IEEE Trans. Biomed. Eng. , vol.BME-31 , pp. 384-387
    • DeBoer, R.W.1    Karemaker, J.M.2    Strackee, J.3
  • 7
    • 0003586464 scopus 로고
    • New York: Plenum Press
    • Feder, J. Fractals. New York: Plenum Press, 1988, 310 pp.
    • (1988) Fractals
    • Feder, J.1
  • 8
    • 34250842720 scopus 로고
    • On the spectrum of fractional Brownian motion
    • Flandrin, P. On the spectrum of fractional Brownian motion. IEEE Trans. Inform. Theor. 35:197-199, 1989.
    • (1989) IEEE Trans. Inform. Theor. , vol.35 , pp. 197-199
    • Flandrin, P.1
  • 9
    • 0026628466 scopus 로고
    • Wavelet analysis and synthesis of fractional Brownian motion
    • Flandrin, P. Wavelet analysis and synthesis of fractional Brownian motion. IEEE Trans. Inform. Theor. 38:910-917, 1992.
    • (1992) IEEE Trans. Inform. Theor. , vol.38 , pp. 910-917
    • Flandrin, P.1
  • 10
    • 0027885129 scopus 로고
    • Fractal estimation from noisy data via discrete fractional Gaussian noise (DFGN) and the Haar basis
    • Kaplan, L. M., and C. C. Jay Kuo. Fractal estimation from noisy data via discrete fractional Gaussian noise (DFGN) and the Haar basis. IEEE Trans. Signal Proc. 41:3554-3562, 1993.
    • (1993) IEEE Trans. Signal Proc. , vol.41 , pp. 3554-3562
    • Kaplan, L.M.1    Jay Kuo, C.C.2
  • 11
    • 0020102486 scopus 로고
    • 1/f noise
    • Keshner, M. S. 1/f noise. Proc. IEEE 70:212-218, 1982.
    • (1982) Proc. IEEE , vol.70 , pp. 212-218
    • Keshner, M.S.1
  • 12
    • 0019999725 scopus 로고
    • 1/f fluctuation of heartbeat period
    • Kobayashi, M., and T. Musha. 1/f fluctuation of heartbeat period. IEEE Trans. Biomed. Eng. BME-29:456-457, 1982.
    • (1982) IEEE Trans. Biomed. Eng. , vol.BME-29 , pp. 456-457
    • Kobayashi, M.1    Musha, T.2
  • 13
    • 77949515579 scopus 로고
    • Fractional Brownian motion: A maximum likelihood estimator and and its application to image texture
    • Lundahl, T., W. J. Ohley, S. M. Kay, and R. Siffert. Fractional Brownian motion: A maximum likelihood estimator and and its application to image texture. IEEE Trans. Med. Imag. MI-5:152-161, 1986.
    • (1986) IEEE Trans. Med. Imag. , vol.MI-5 , pp. 152-161
    • Lundahl, T.1    Ohley, W.J.2    Kay, S.M.3    Siffert, R.4
  • 14
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • Mallat, S. G. A theory for multiresolution signal decomposition: The wavelet representation. IEEE Trans. PAMI 11: 674-693, 1989.
    • (1989) IEEE Trans. PAMI , vol.11 , pp. 674-693
    • Mallat, S.G.1
  • 15
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot, B. B., and J. W. Van Ness. Fractional Brownian motions, fractional noises and applications. SIAM Rev. 10:422-437, 1968.
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 16
    • 0024274845 scopus 로고
    • Analysis of long term heart rate variability: Methods, 1/f scaling and implications
    • Saul, J. P., P. Albrecht, R. D. Berger, and R. J. Cohen. Analysis of long term heart rate variability: Methods, 1/f scaling and implications. Comp. Cardiol. 14:419-422, 1987.
    • (1987) Comp. Cardiol. , vol.14 , pp. 419-422
    • Saul, J.P.1    Albrecht, P.2    Berger, R.D.3    Cohen, R.J.4
  • 18
    • 0026679673 scopus 로고
    • Correlation structure of discrete wavelet coefficients of fractional Brownian motion
    • Tewfik, A. H., and M. Kim. Correlation structure of discrete wavelet coefficients of fractional Brownian motion. IEEE Trans. Inform. Theor. 38:904-909, 1992.
    • (1992) IEEE Trans. Inform. Theor. , vol.38 , pp. 904-909
    • Tewfik, A.H.1    Kim, M.2
  • 19
    • 0002998107 scopus 로고
    • Fractals in nature: From characterization to simulation
    • edited by H. O. Peitgen and D. Saupe. New York: Springer-Verlag
    • Voss, R. F. Fractals in nature: From characterization to simulation. In: The Science of Fractal Images, edited by H. O. Peitgen and D. Saupe. New York: Springer-Verlag, 1988, pp. 21-70.
    • (1988) The Science of Fractal Images , pp. 21-70
    • Voss, R.F.1
  • 20
    • 0026829738 scopus 로고
    • Estimation of fractal signals from noisy measurements using wavelets
    • Wornell, G. W., and A. V. Oppenheim. Estimation of fractal signals from noisy measurements using wavelets. IEEE Trans. Signal Proc. 40:611-623, 1992.
    • (1992) IEEE Trans. Signal Proc. , vol.40 , pp. 611-623
    • Wornell, G.W.1    Oppenheim, A.V.2
  • 21
    • 0025831921 scopus 로고
    • Coarse-graining spectral analysis: New method for studying heart rate variability
    • Yamamoto, Y., and R. L. Hughson. Coarse-graining spectral analysis: New method for studying heart rate variability. J. Appl. Physiol. 71:1143-1150, 1991.
    • (1991) J. Appl. Physiol. , vol.71 , pp. 1143-1150
    • Yamamoto, Y.1    Hughson, R.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.