Minimax threshold for denoising complex signals with Waveshrink

@article{Sardy2000MinimaxTF,
  title={Minimax threshold for denoising complex signals with Waveshrink},
  author={Sylvain Sardy},
  journal={IEEE Trans. Signal Processing},
  year={2000},
  volume={48},
  pages={1023-1028}
}
For the problem of signal extraction from noisy data, Waveshrink has proven to be a powerful tool, both from an empirical and an asymptotic point of view. Waveshrink is especially efficient at estimating spatially inhomogeneous signals. A key step of the procedure is the selection of the threshold parameter. Donoho and Johnstone propose a selection of the threshold based on a minimax principle. Their derivation is specifically for real signals and real wavelet transforms. In this paper, we… CONTINUE READING
Highly Cited
This paper has 201 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 36 extracted citations

201 Citations

0102030'01'04'08'12'16
Citations per Year
Semantic Scholar estimates that this publication has 201 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 14 references

Ideal spatial adaptation via wavelet shrinkage,

  • David L. Donoho, Iain M. Johnstone
  • Biometrika, vol
  • 1994
Highly Influential
9 Excerpts

Saun- ders, \Atomic decomposition by basis pursuit,

  • Shaobing Chen, David L. Donoho, Michael
  • Tech. Rep., Stanford University,
  • 1996
Highly Influential
3 Excerpts

Statistical Modeling by Wavelets

  • Brani Vidakovic
  • New York: Wiley,
  • 1999
2 Excerpts

Wavelet shrinkage denoising using the non-negative garrote,

  • H-Y Gao
  • Journal of Computational and Graphical…
  • 1998
2 Excerpts

Wavelet shrinkage deoising using the nonnegative garrote

  • A. Bruce
  • J . Comput . Graph . Stat .
  • 1998

Biorthog- onal brushlet bases for directional image compression,

  • Francois G. Meyer, Ronald R. Coifman
  • 12th International Conference on Analysis and Op…
  • 1996
1 Excerpt

Block coordinate relaxation methods for nonparametric wavelet denoising

  • S. Sardy, A. Bruce, P. Tseng
  • 1996

WaveShrink with rm shrinkage,

  • Hong-Ye Gao, Andrew Bruce
  • Tech. Rep., Research Report 39,
  • 1996
2 Excerpts

Similar Papers

Loading similar papers…