Extended 2q-MUSIC algorithm for noncircular signals
Signal Processing
RARE-cumulant algorithm for direction of arrival estimation and array calibration
ICAIT '08 Proceedings of the 2008 International Conference on Advanced Infocomm Technology
Joint estimation of source number and DOA using simulated annealing algorithm
Digital Signal Processing
Passive localization of mixed near-field and far-field sources using two-stage MUSIC algorithm
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
General tensor decomposition, moment matrices and applications
Journal of Symbolic Computation
Hi-index | 35.70 |
An interpretation for the use of cumulants in narrowband array processing problems is proposed. It is shown how fourth-order cumulants of multichannel observations increase the directional information compared with second-order statistics. Based on the interpretation, it is shown how cumulants can be used to increase the effective aperture of an arbitrary antenna array. The amount of partial information necessary to jointly calibrate an arbitrary array and estimate the directions of far-field sources is also investigated. It is proven that the presence of a doublet and use of fourth-order cumulants is sufficient to accomplish this task. The proposed approach is computationally efficient and more general than covariance-based algorithms that have addressed the calibration problem under constraints. A class of beamforming techniques is proposed to recover the source waveforms. Proposed estimation procedures are based on cumulants, which bring insensitivity to the spatial correlation structure of additive Gaussian measurement noise. Simulations are provided to illustrate the use of the proposed algorithms