A multilinear direction finding (DF) approach for a sensor-array with multiple scales of invariance

Sebastian Miron (1) , Yang Song (2) , David Brie (1) , Kainam Thomas Wong (3)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 Department of Electronic and Information Engineering
3 Department of Electronic and Information Engineering

In this paper, we introduce a novel direction finding algorithm for a multi-scale sensor-array, that is, an array presenting multiple scales of invariance. We show that the collected data can be represented as a Candecomp/Parafac (CP) model, for which we analyze the identifiability properties. A two-stage algorithm for direction-of-arrival (DOA) estimation with such an array is also proposed. This approach generalizes the results given in [Sidiropoulos et al., 2000] to an array that presents an arbitrary number of spatial invariances. We illustrate, on a particular array geometry, that our method outperforms the ESPRIT-based approach introduced in [Wong and Zoltowski, 1998]. Moreover, we show that the single-snapshot case can be handled by our method, provided that the array includes at least three scale-levels.

Mots clés: direction finding; DOA estimation; Candecomp/Parafac decomposition; multi-scale array

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

Sebastian Miron, Yang Song, David Brie, Kainam Thomas Wong. A multilinear direction finding (DF) approach for a sensor-array with multiple scales of invariance. 2013. ⟨hal-00992223⟩