# Toeplitz rectification and DoA estimation with MUSIC

1 Groupe Signal
IMS - Laboratoire de l'intégration, du matériau au système
Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01005618
Contributor : Pascal Vallet <>
Submitted on : Friday, June 13, 2014 - 8:30:05 AM
Last modification on : Monday, March 23, 2020 - 12:39:49 PM

### Identifiers

• HAL Id : hal-01005618, version 1

### Citation

Pascal Vallet, Philippe Loubaton. Toeplitz rectification and DoA estimation with MUSIC. 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), May 2014, Florence, Italy. pp.1-5. ⟨hal-01005618⟩

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