A multiwindow method for spectrum estimation and sinusoid detection in an array environment

In many applications (radar, communication, plasma physics) the signal of interest is sinusoidal and is hidden in nonwhite noise. The multiwindow method of spectrum estimation gives a constant false alarm test for the presence of a sinusoid in a time series if the noise can be assumed Gaussian. The authors generalize the method to an array and study the resulting test. Expressions for the probabilities of detection and of false alarm are obtained analytically, and receiver operation characteristic curves are computed for a particular scenario under different conditions