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Experimental determination of Hurst exponent of the self-affine fractal patterns with optical fractional Fourier transform 被引量:3

Experimental determination of Hurst exponent of the self-affine fractal patterns with optical fractional Fourier transform
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摘要 By means of experimental technique of optical fractional Fourier transform, we have determined the Hurst exponent of a regular self-affine fractal pattern to demonstrate the feasibility of this approach. Then we extend this method to determine the Hurst exponents of some irregular self-affine fractal patterns. Experimental results show that optical fractional Fourier transform is a practical method for analyzing the self-affine fractal patterns. By means of experimental technique of optical fractional Fourier transform, we have determined the Hurst exponent of a regular self-affine fractal pattern to demonstrate the feasibility of this approach. Then we extend this method to determine the Hurst exponents of some irregular self-affine fractal patterns. Experimental results show that optical fractional Fourier transform is a practical method for analyzing the self-affine fractal patterns.
机构地区 Department of Physics
出处 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2004年第4期485-491,共7页 中国科学:物理学、力学、天文学(英文版)
关键词 optical fractional Fourier transform self-affine fractal Hurst exponent optical fractional Fourier transform, seff-affine fractal, Hurst exponent.
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参考文献2

  • 1Mandelbrot B B,Van Ness J W.Fractional Brownian motions,fractional noises and applications[].SIAM Review.1968
  • 2Lohmann,A.W.Image rotation,Wigner rotation and the fractionalFourier transform[].JOptSocAm (A).1993

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