Parametric localization of correlated incoherently distributed sources using ESPRIT

Most of the distributed source algorithms discussed in the literature have restricted themselves to an uncorrelated distributed source scenario. The fundamental question asked was to whether the ESPRTT based algorithm for the localization of uncorrelated incoherently distributed (ID) sources could be applied to a correlated TD source scenario. For this, we assumed the existence of a specific form of the angular cross correlation kernel, which resulted in the block diagonal structure of the effective source covariance matrix. ESPRIT can be applied in principle as long as each of these non-zero blocks is invertible. We could check both analytically and by simulations that the algorithm could be used in a two uniform incoherently distributed source scenario with this specific non-zero angular cross correlation kernel.