SIXTH ORDER BLIND IDENTIFICATION OF UNDERDETERMINED MIXTURES (BIRTH) OF SOURCES

Static linear mixtures with more sources than sensors are considered. The Blind Source Identification (BSI) of underdetermined mixtures problem is addressed by taking advantage of Sixth Order (SixO) statistics and the Virtual Array (VA) concept. It is shown how SixO cumulants can be used to increase the effective aperture of an arbitrary antenna array, and so to identify the mixture of more sources than sensors. A computationally simple but efficient algorithm, named BIRTH, is proposed and enables to identify the steering vectors of up toP = N−N +1 sources for arrays of N sensors with space diversity only, and up to P = N for those with angular and polarization diversity.

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