# Asymptotic analysis of Beamspace-MUSIC in the context of large arrays

1 Groupe Signal
IMS - Laboratoire de l'intégration, du matériau au système
4 TEL - Département Télécommunications
E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
Abstract : It is well-known that the MUSIC method for DoA estimation degrades when the number of samples $N$ and the array dimension $M$ are large and of the same order of magnitude. In this context, several improvements have been proposed, among which the G-MUSIC method, which was shown to be consistent in the asymptotic regime where $M,N$ converge to infinity at the same rate, and under an additional separation condition between noise and signal subspaces of the SCM. Nevertheless, this subspace separation condition is only fulfilled for sufficiently high SNR. Dimension reduction techniques are a classical way to partially circumvent this condition. In this paper, we provide an asymptotic analysis in terms of consistency and MSE in the aforementioned regime, of the Beamspace MUSIC, which is one popular technique to reduce the dimension of the observations.
Type de document :
Communication dans un congrès
The Eight IEEE Sensor Array and Multichannel Signal Processing Workshop, Jun 2014, La Corogne, Spain. pp.469-472, 2014, <10.1109/SAM.2014.6882444>
Domaine :

https://hal.archives-ouvertes.fr/hal-01005620
Contributeur : Pascal Vallet <>
Soumis le : vendredi 13 juin 2014 - 08:37:11
Dernière modification le : vendredi 16 janvier 2015 - 09:56:29

### Citation

Pascal Vallet, Xavier Mestre, Philippe Loubaton, Romain Couillet. Asymptotic analysis of Beamspace-MUSIC in the context of large arrays. The Eight IEEE Sensor Array and Multichannel Signal Processing Workshop, Jun 2014, La Corogne, Spain. pp.469-472, 2014, <10.1109/SAM.2014.6882444>. <hal-01005620>

### Métriques

Consultations de la notice