GLRT-based detectors for FDA-MIMO radar with training data

Moving-Target Detection for FDA-MIMO Radar in Partially Homogeneous Environments

“…For comparison, we introduce detectors based on OGLRT, TGLRT, TRao, and TWald criteria in a homogeneous environment. Their statistical expressions are [28,41]:…”

“…Please note that in (12), a tr (r s , θ s ) and w d ( f d,s ) are both known, while α s , γ and R remain unknown. It is important to point out that this paper takes a different approach compared to the literature [28], as we address the target detection problem for the FDA-MIMO radar in partially homogeneous environments, whereas the literature [28] concentrated solely on designing OGLRT-based detectors in homogeneous environments. Additionally, we will demonstrate that our proposed detectors are effective in solving the detection problem for the FDA-MIMO radar in both homogeneous and partially homogeneous environments.…”

“…After substituting (31), (35) and ( 37) into (28) and taking the MNKth root and performing algebraic operations, we can obtain…”

“…Chen et al [27] proposed a space-range-doppler focus-based moving-target detection approach that utilized training data for an FDA-MIMO radar in clutter and noise environments. Li et al [28] adopted the GLRT criterion and used training data to design adaptive detectors for an FDA-MIMO radar in the cases of known and unknown target velocity with unknown Gaussian noise. Please note that the training and test data observe a common covariance matrix in the aforementioned detectors, i.e., homogeneous environments (HE).…”