Projector's weighting for W-MUSIC: An alternative to RMT

Projector's weighting for W-MUSIC: An alternative to RMT. Ferréol, A. & Larzabal, P. In 2017 25th European Signal Processing Conference (EUSIPCO), pages 1966-1970, Aug, 2017.

Paper doi abstract bibtex

In the last decade, modified subspace DoA estimation methods such as G-MUSIC have been proposed, in the context where the number of available snapshots N is of the same order of magnitude than the number of sensors M. In this context, the conventional MUSIC algorithm fails in presence of close sources because the empirical covariance matrix is a poor estimate of the true covariance matrix. The G-MUSIC algorithm is based on Marcenko-Pastur's works about the distribution of the eigenvalues of the empirical covariance matrix. A new modified MUSIC algorithm is proposed. It is based on the correction of the noise projector obtained by complex Wishart distribution of the empirical covariance matrix.

@InProceedings{8081553,
  author = {A. Ferréol and P. Larzabal},
  booktitle = {2017 25th European Signal Processing Conference (EUSIPCO)},
  title = {Projector's weighting for W-MUSIC: An alternative to RMT},
  year = {2017},
  pages = {1966-1970},
  abstract = {In the last decade, modified subspace DoA estimation methods such as G-MUSIC have been proposed, in the context where the number of available snapshots N is of the same order of magnitude than the number of sensors M. In this context, the conventional MUSIC algorithm fails in presence of close sources because the empirical covariance matrix is a poor estimate of the true covariance matrix. The G-MUSIC algorithm is based on Marcenko-Pastur's works about the distribution of the eigenvalues of the empirical covariance matrix. A new modified MUSIC algorithm is proposed. It is based on the correction of the noise projector obtained by complex Wishart distribution of the empirical covariance matrix.},
  keywords = {covariance matrices;direction-of-arrival estimation;eigenvalues and eigenfunctions;signal classification;G-MUSIC algorithm;covariance matrix;W-MUSIC;DoA estimation methods;Marcenko-Pasturs works;Wishart distribution;Multiple signal classification;Covariance matrices;Direction-of-arrival estimation;Signal processing algorithms;Sensors;Estimation;Perturbation methods;MUSIC;DoA estimation;Performances analysis;Wishart distribution;Random matrices},
  doi = {10.23919/EUSIPCO.2017.8081553},
  issn = {2076-1465},
  month = {Aug},
  url = {https://www.eurasip.org/proceedings/eusipco/eusipco2017/papers/1570346531.pdf},
}

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