3-D spherical localization of multiple non-Gaussian sources using cumulants

In this paper an eigendecomposition technique based on cumulant matrices is proposed to passively localize narrowband non-Gaussian sources in spherical coordinates viz., azimuth, elevation, range, using signals recorded by a centro-symmetric cross array. The multiple degrees of freedom available from cumulants are exploited to transform the near-field data into pseudo-data collected by a virtual rectangular array observing virtual far-field sources. The centro-symmetric array structure is preserved in the pseudo-data thus allowing efficient real-valued processing via Unitary ESPRIT.