On an Iterative Method for Direction of Arrival Estimation using Multiple Frequencies

Fredrik Andersson (1) , Marcus Carlsson (1) , Jean-Yves Tourneret (2, 3) , Herwig Wendt (2, 4)

1 Skane University Hospital [Lund]
2 IRIT-SC - Signal et Communications
3 Toulouse INP - Institut National Polytechnique (Toulouse)
4 CNRS - Centre National de la Recherche Scientifique

We develop a method for the estimation of the location of sources from measurements at multiple frequencies, including wideband measurements, recorded by a linear array of sensors. We employ interpolation matrices to address unequal sampling at different frequencies and make use of the Kronecker theorem to cast the nonlinear least squares problem associated with direction of arrival estimation into an optimization problem in the space of sequences generating Hankel matrices of fixed rank.We then obtain approximate solutions to this problem using the alternating direction method of multipliers. The resulting algorithm is simple and easy to implement. We provide numerical simulations that illustrate its excellent practical performance, significantly outperforming subspace-based methods both at low and high signal-to-noise ratio.

Mots clés: Multiple frequencies; Arrival estimation

Domaines: Synthèse d'image et réalité virtuelle [cs.GR]; Traitement du signal et de l'image [eess.SP]; Traitement des images [eess.IV]; Vision par ordinateur et reconnaissance de formes [cs.CV]; Intelligence artificielle [cs.AI]

Fredrik Andersson, Marcus Carlsson, Jean-Yves Tourneret, Herwig Wendt. On an Iterative Method for Direction of Arrival Estimation using Multiple Frequencies. IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing - CAMSAP 2013, Dec 2013, Saint-Martin, France. pp. 328-331. ⟨hal-01150346⟩