A separability theorem for 2M conjugate-symmetric signals impinging on an M-element sensor array

We show under reasonable assumptions that an M-sensor linear-conjugate-linear (LCL) processor can separate up to 2M conjugate-symmetric signals, including the cases in which up to M of the signals each share the same direction of arrival as each of M other signals. Numerical evaluations illustrate ways in which the performance of the M-sensor LCL processor is superior to that of a conventional 2M-sensor linear processor when 2M conjugate-symmetric signals are received.