Multiple-antenna detection of a Gaussian signal\ with spatial rank one in temporally white Gaussian noise with\ arbitrary and \ unknown spatial covariance is considered. This\ is motivated by spectrum sensing problems in the context of\ Dynamic Spectrum Access in which several secondary networks\ coexist but do not cooperate, creating a background of spatially\ correlated broadband interference. When the temporal correlation\ of the signal of interest is assumed known up to a scale factor,\ the corresponding Generalized Likelihood Ratio Test is shown to\ yield a scalar optimization problem. Closed-form expressions of\ the test are obtained for the general signal spectrum case in\ the low signal-to-noise ratio (SNR) regime, as well as for signals\ with binary-valued power spectrum in arbitrary SNR. The two\ resulting detectors turn out to be equivalent. An asymptotic\ approximation to the test distribution for the low-SNR regime is\ derived, closely matching empirical results from spectrum sensing\ simulation experiments.

},
keywords = {cograd, dynacs},
doi = {10.1109/TSP.2012.2189767},
author = {Josep Sala and Gonzalo V{\'a}zquez-Vilar and R. L{\'o}pez-Valcarce}
}