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[BCH17a] Higher order direction finding from rectangular cumulant matrices: the rectangular 2q-MUSIC algorithms
Revue Internationale avec comité de lecture : Journal Signal Processing, vol. 133, pp. 240-249, 2017, (doi:j.sigpro.2016.10.020.)Mots clés: Cumulants, Virtual array, Direction finding, 2q-MUSIC, Rectangular arrangements, Non-Redundant
Résumé:
Fourth-order (FO) high resolution direction finding methods such as 4-MUSIC have been developed for more
than two decades for non-Gaussian sources mainly to overcome the limitations of second order (SO) high
resolution methods such as MUSIC. In order to increase the performance of 4-MUSIC in the context of multiple
sources, the MUSIC method has recently been extended to an arbitrary even order 2q (q ≥ 2), for square
arrangements of the 2qth-order data statistics, giving rise to the 2q-MUSIC algorithm. To further improve the
performance of 2q-MUSIC, the purpose of this paper is to extend the latter to rectangular arrangements of the
data statistics, giving rise to rectangular 2q-MUSIC algorithms. Two kinds of rectangular arrangements,
corresponding to redundant and non-redundant arrangements are considered. In particular, it is shown that
rectangular arrangements of the higher order (HO) data statistics achieve a trade-off between performance and
maximal number of sources to be estimated. These rectangular arrangements also lead to a complexity
reduction for a given level of performance, which is still increased by non-redundant arrangements of the
statistics. These results, completely new, open new perspectives in HO array processing.
BibTeX
| @article { | |||
| BCH17a, | |||
| title | = | "{Higher order direction finding from rectangular cumulant matrices: the rectangular 2q-MUSIC algorithms}", | |
| author | = | "H. Becker and P. Chevalier and M. HAARDT", | |
| journal | = | "Signal Processing", | |
| year | = | 2017, | |
| volume | = | 133, | |
| pages | = | "240-249", | |
| doi | = | "j.sigpro.2016.10.020.", | |
| } | |||
