Toeplitz rectification and DOA estimation with music

P. Vallet (1) , Philippe Loubaton (2)

1 IMS - Laboratoire de l'intégration, du matériau au système
2 LIGM - Laboratoire d'Informatique Gaspard-Monge

The MUSIC method is widely used in the field of DoA estimation using an array of M sensors, and is known to perform well as long as the number of available samples N is much larger than M. Nevertheless , in the scenario where N is of the same order of magnitude than M , its performance degrades, essentially because the sample covariance matrix (SCM) is no more a good estimator. A classical improvement, known as "rectification", consists in forcing the SCM to have a Toeplitz structure. In this paper, we analyze this method, by considering the asymptotic regime where M, N both converge to infinity at the same rate, and by studying consistency and asymptotic normality of the related DoA estimates.

Mots clés: Index Terms— DoA estimation; MUSIC; small sample size; Toeplitz rectification

Domaines: Traitement du signal et de l'image [eess.SP]

P. Vallet, Philippe Loubaton. Toeplitz rectification and DOA estimation with music. ICASSP , May 2014, Firenze, Italy. pp.2237 - 2241, ⟨10.1109/ICASSP.2014.6853997⟩. ⟨hal-01618511⟩