“…In particular, the adaptive matched filter (AMF) [3], which solves (1) following a two-step approach, is a prominent example of robust detector, while the adaptive coherence estimator (ACE, also known as adaptive normalized matched filter) [4], [5], [6] and Kelly's detector are selective receivers, i.e., they have excellent rejection capabilities of signals arriving from directions different from the nominal one [7]. Other detectors try to explicitly take into account rejection capabilities at the design stage, namely based on the adaptive beamformer orthogonal rejection test (ABORT) [8] or related ideas [9], [10], subspace detection [11], [12], [13], [14], [15], and cone-shaped constraints [16], [17], [18]. In the ABORT approach the idea is to modify the null hypothesis, by introducting (in addition to the noise term) a fictitious signal which is somehow orthogonal to the assumed target's signature.…”