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

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