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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 5 — Mar. 3, 2008
  • pp: 3204–3211

Fractal analysis of self-mixing speckle signal in velocity sensing

Daofu Han, Ming Wang, and Junping Zhou  »View Author Affiliations

Optics Express, Vol. 16, Issue 5, pp. 3204-3211 (2008)

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A new method based on fractal theory is proposed to analyze velocity sensing. The waveform of a self-mixing speckle signal is processed as a pattern of a fractal. Fractal boxes are defined as a set of grids used to divide the fractal pattern, and box-counting (BC) is introduced to characterize the statistical property of a speckle signal. A group of simulated speckle signals are analyzed by calculating the BCs corresponding to different velocities of the object. A linear dependence between the BCs of speckle signals and velocities is obtained, the result of which is validated by the analysis of a group of signals obtained from experiments. The performance of the fractal analysis is compared with those of the previous analysis methods. Better linearity and higher measurement sensitivity of the fractal analysis are indicated. The experimental result shows that the fractal method can be used as a valid analysis tool for the self-mixing speckle signal in velocity sensing.

© 2008 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(280.7250) Remote sensing and sensors : Velocimetry
(070.2025) Fourier optics and signal processing : Discrete optical signal processing

ToC Category:
Coherence and Statistical Optics

Original Manuscript: September 14, 2007
Revised Manuscript: November 27, 2007
Manuscript Accepted: January 17, 2008
Published: February 22, 2008

Daofu Han, Ming Wang, and Junping Zhou, "Fractal analysis of self-mixing speckle signal in velocity sensing," Opt. Express 16, 3204-3211 (2008)

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