This study deals with the problem of adaptive detection in the presence of signal mismatch. An effective parametric detector is proposed, which encompasses Kelly's generalised likelihood ratio test (GLRT), adaptive matched filter (AMF) and adaptive beamformer orthogonal rejection test (ABORT) as its three special cases. The novel detector can control the degree to which the mismatched signals are rejected. A remarkable feature is that the novel detector can achieve slightly higher probability of detection, for matched signals than those of Kelly's GLRT, AMF and ABORT. Furthermore, it can also provide both improved robustness to the mismatched signals and enhanced rejection of the mismatched signals than its natural competitors.
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Liu et al. (2013) studied this question.
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