Improved time-frequency synthesis using array manifolds

The source array manifold can be used to improve signal synthesis from the Wigner-Ville distribution (WVD). In the proposed approach, the inner products of source array vectors translate into weighting factors that reduce the crossterms between the source signals, and thus yield improved synthesis. Orthogonal array manifold vectors remove any interaction between their respective source waveforms in the time-frequency (t-f) domain. For Gaussian channel and omni-directional antennas, the spatial signature estimation and the quality of the synthesized signals impinging on a multi-antenna receiver depend on the angular separation of the sources as well as the source t-f characteristics. Evaluations of the proposed technique in terms of performance and computations are provided