Detection threshold for non-parametric estimation

@article{Atto2008DetectionTF,
  title={Detection threshold for non-parametric estimation},
  author={Abdourrahmane M. Atto and Dominique Pastor and Gr{\'e}goire Mercier},
  journal={Signal, Image and Video Processing},
  year={2008},
  volume={2},
  pages={207-223}
}
A new threshold is presented for better estimating a signal by sparse transform and soft thresholding. This threshold derives from a non-parametric statistical approach dedicated to the detection of a signal with unknown distribution and unknown probability of presence in independent and additive white Gaussian noise. This threshold is called the detection threshold and is particularly appropriate for selecting the few observations, provided by the sparse transform, whose amplitudes are… CONTINUE READING
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