Abstract

New ideas for Higher-Order Array Processing are introduced. The paper focuses on fourth-order cumulant statistics. They are expressed in an index-free formalism (that is believed to be of general interest) allowing the exploitation of all their symmetry properties. We show that, when dealing with 4-index quantities, symmetries are related to rank properties. The rich symmetry structure yields a whole class of new identification algorithms. Main features are : . Use of fourth-order cumulant statistics only : yielding asymptotically unbiased estimates in presence of Gaussian noise regardless of its spatial structure.

Citations

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