Super-symmetric decomposition of the fourth-order cumulant tensor. Blind identification of more sources than sensors

作者：J.-F. Cardoso · 年份：1991 · DOI：10.1109/icassp.1991.150113 · 被引用次数：151 · 研究领域：Blind Source Separation Techniques、Direction-of-Arrival Estimation Techniques、Fractal and DNA sequence analysis

Ideas for higher-order array processing are introduced, focusing on fourth-order cumulant statistics. They are expressed in an index-free formalism allowing the exploitation of all their symmetry properties. It is shown that, when dealing with 4-index quantities, symmetries are related to rank properties. The rich symmetry structure yields a class of identification algorithms. An algebraic technique for blind identification is included, and a few others are briefly indicated.>