A method for detecting a presence of an RF signal begins by forming with at least one computer processor a sample correlation matrix A from a sample of a radio frequency channel. Thereafter, the at least one computer processor determines a trace tr(A) of the sample correlation matrix and a determinant det(A) of the sample correlation matrix. The at least one processor then selectively determines a presence or absence of a signal on the radio frequency channel based exclusively on the trace, the determinant and a threshold value T. The invention also includes a cognitive radio which includes a radio receiver configured to detect an RF signal and at least one computer processing device for performing the above-described method.