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Composite cumulant-property mapping for MA cumulant matching

This paper considers the use of composite property mappings for mapping algorithm (MA) cumulant matching. The algorithm makes use of two property mappings corresponding to rank and structure properties of a matrix consisting of MA cumulants. It is proved that these two properties are sufficient to characterise a matrix consisting of true MA cumulants. This result clearly implies that provided that convergence is achieved the composite property mapping algorithm performs some kind of cumulant matching. The issue of convergence is also discussed in the paper. Numerical results are presented to show the performance of the algorithm.