ON THE PERFORMANCE OF SIGNAL - SUBSPACE PROCESSING - II: COHERENT WIDE - BAND SYSTEMS.

An analytical evaluation of detection (determination of the number of sources) and direction estimation performance is presented for the authors' coherent wideband signal-subspace processing algorithm, which operates on received array signals of large relative bandwidth. The probabilities of underestimating and overestimating the number of sources are derived, under asymptotic conditions and in the threshold regions, in terms of the choice of a penalty function and signal, noise, and array parameters for the cases of at most two closely spaced sources in spatially white noise. A scalar measure is used for the evaluation of the quality of the estimated signal subspaces. It is shown that the detection and estimation performances of the practical coherent algorithm are close to those for perfectly coherent processing, and that they are relatively insensitive with respect to the preliminary estimate of the angles used by the algorithm.