Performance analysis of MUSIC for spatially distributed sources

Wenmeng Xiong (1) , José Picheral (1) , Sylvie Marcos (2)

1 E3S - Supélec Sciences des Systèmes
2 L2S - Laboratoire des signaux et systèmes

In this paper, the direction of arrival (DOA) localization of spatially distributed sources impinging on a sensor array is considered. The performance of the well known MUSIC estimator is studied in presence of model errors due to angular dispersion of sources. Taking into account the coherently distributed source model proposed in [1], we establish closed-form expressions of the DOA estimation error and mean square error (MSE) due to both the model errors and the effects of a finite number of snapshots. The analytical results are validated by numerical simulations and allow to analyze the performance of MUSIC for coherently distributed sources.

Keywords: distributed sources; array signal processing; model error; performance; MUSIC

Domains: Engineering Sciences [physics]; Signal and Image processing; Computer Science [cs]; Signal and Image Processing

Wenmeng Xiong, José Picheral, Sylvie Marcos. Performance analysis of MUSIC for spatially distributed sources. 2014. ⟨hal-01069045v3⟩