Signal Detection with Elliptically Distributed Observations in Sensor Arrays

The problem of detecting unknown signals using the observations received from an array system with or without perfectly calibrated sensors is addressed. It is formulated as a statistical hypothesis testing on the covariance structure of the received signal. For the received signals following the elliptically symmetric distributions, the generalized likelihood ratio test (GLRT) statistics are derived. Specially, the GLRT detectors for uniform linear arrays are provided. Numerical experiments show the effectiveness of the proposed detectors.