Sparse Linear Regression With Structured Priors and Application to Denoising of Musical Audio

@article{Fvotte2008SparseLR,
  title={Sparse Linear Regression With Structured Priors and Application to Denoising of Musical Audio},
  author={C{\'e}dric F{\'e}votte and Bruno Torr{\'e}sani and Laurent Daudet and Simon J. Godsill},
  journal={IEEE Transactions on Audio, Speech, and Language Processing},
  year={2008},
  volume={16},
  pages={174-185}
}
We describe in this paper an audio denoising technique based on sparse linear regression with structured priors. The noisy signal is decomposed as a linear combination of atoms belonging to two modified discrete cosine transform (MDCT) bases, plus a residual part containing the noise. One MDCT basis has a long time resolution, and thus high frequency resolution, and is aimed at modeling tonal parts of the signal, while the other MDCT basis has short time resolution and is aimed at modeling… CONTINUE READING
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Bayesian Data Analysis, ser. Texts in Statistical Science, 2nd ed

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