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Volume 23 Issue 11
Nov.  2001
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Zhang Zongping, Liu Guizhong, Dong Enqing. DENOISING VIA DYADIC WAVELET TRANSFORM[J]. Journal of Electronics & Information Technology, 2001, 23(11): 1083-1090.
Citation: Zhang Zongping, Liu Guizhong, Dong Enqing. DENOISING VIA DYADIC WAVELET TRANSFORM[J]. Journal of Electronics & Information Technology, 2001, 23(11): 1083-1090.

DENOISING VIA DYADIC WAVELET TRANSFORM

  • Received Date: 1999-11-30
  • Rev Recd Date: 2000-09-14
  • Publish Date: 2001-11-19
  • Signals representation in dyadic wavelet domain is very redundant. Compared with wavelet series reconstruction, signals dyadic wavelet reconstruction dependency on the individual coefficients in transform domain will be decreased. Therefore, with the same error decision probability, the better reconstruction can be expected. Based on this idea, this paper extends the existing wavelet-based denoising approaches to the dyadic wavelet-based denoising. Numerical experiments show that the dyadic wavelet-based denoising can significantly improve the signal-to-noise rate (SNR).
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  • D.L. Donoho, I. M. Johnstone, Ideal spatial adaptation by wavelet shrinkage, Biometrika 1994,81 (2), 425-455.[2]D.L. Donoho, I. M. Johnstone, Wavelets and optimal nonparametric function estimation, Tech-nical Report. Dept. of Statistics, U. C. Berkeley, 1990.[3]S. Mallat, A theory for multiresolution decomposition: the wavelet representation, IEEE Trans.on Pattn. Anal. Mach. Intell., 1989, 11(7), 674-693.[4]S. Mallat, S. Zhong, Characterization of signals from multiscale edges, IEEE Trans. on Pattn.Anal. Mach. Intell., 1992, 14(7), 709-732.[5]S. Mallat, W. L. Hwang, Singularity detection and processing with wavelets, Technical ReportNo. 549, Robotics Report, No. 245, New York University, Courant Institute of MathematicalSciences. March. [6]S[J].Saitoh, Theory of reproducing kernels and its applications, Longman Scientific TechnicalPress.1991,1988:1-15[6]D.L. Donoho, De-noising via soft-thresholding, IEEE Trans. on Info. Theo., 1992, 41(3), 613627.[7]F. Abramovich, et al., Wavelet thresholding via a Bayesian approach. J. R. Statistc. Soc., 1998,B60, Part 4, 725-749.
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