Extended 2q-MUSIC algorithm for noncircular signals
Signal Processing
Blind underdetermined mixture identification by joint canonical decomposition of HO cumulants
IEEE Transactions on Signal Processing
Blind multipath MIMO channel parameter estimation using the Parafac decomposition
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
Passive localization of mixed near-field and far-field sources using two-stage MUSIC algorithm
IEEE Transactions on Signal Processing
Sequential high-resolution direction finding from higher order statistics
IEEE Transactions on Signal Processing
Nested arrays: a novel approach to array processing with enhanced degrees of freedom
IEEE Transactions on Signal Processing
Computing symmetric rank for symmetric tensors
Journal of Symbolic Computation
IEEE Transactions on Signal Processing
Iterative HOS-SOS (IHOSS) algorithm for direction-of-arrival estimation and sensor localization
IEEE Transactions on Signal Processing
Multihomogeneous polynomial decomposition using moment matrices
Proceedings of the 36th international symposium on Symbolic and algebraic computation
Computers and Electrical Engineering
Biquaternion cumulant-MUSIC for DOA estimation of noncircular signals
Signal Processing
General tensor decomposition, moment matrices and applications
Journal of Symbolic Computation
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For about two decades, many fourth order (FO) array processing methods have been developed for both direction finding and blind identification of non-Gaussian signals. One of the main interests in using FO cumulants only instead of second-order (SO) ones in array processing applications relies on the increase of both the effective aperture and the number of sensors of the considered array, which eventually introduces the FO Virtual Array concept presented elsewhere and allows, in particular, a better resolution and the processing of more sources than sensors. To still increase the resolution and the number of sources to be processed from a given array of sensors, new families of blind identification, source separation, and direction finding methods, at an order m=2q (q≥2) only, have been developed recently. In this context, the purpose of this paper is to provide some important insights into the mechanisms and, more particularly, to both the resolution and the maximal processing capacity, of numerous 2qth order array processing methods, whose previous methods are part of, by extending the Virtual Array concept to an arbitrary even order for several arrangements of the data statistics and for arrays with space, angular and/or polarization diversity.