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GLRT-Based Coherent Detection in Sub-Gaussian Symmetric Alpha-Stable Clutter
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This letter presents a generalized likelihood ratio test (GLRT)-based adaptive detector specially for the sub-Gaussian symmetric alpha-stable (SGS $\alpha \text{S}$ ) sea clutter background. Since the probability density function (PDF)… Click to show full abstract
This letter presents a generalized likelihood ratio test (GLRT)-based adaptive detector specially for the sub-Gaussian symmetric alpha-stable (SGS$\alpha \text{S}$ ) sea clutter background. Since the probability density function (PDF) of SGS$\alpha \text{S}$ distribution cannot be expressed as a closed-form expression in terms of the elementary function, the research on target detectors in alpha-stable clutter background is very limited. In this letter, firstly, the Fox’s H-function is adopted to formulate the PDF of the SGS$\alpha \text{S}$ distribution so that the PDF of SGS$\alpha \text{S}$ distribution can be expressed as a closed form in terms of H-function. Then, the GLRT-based detector in alpha-stable clutter is designed based on the two-step GLRT criterion and the closed-form expression of the test statistics in terms of the H-function is given. Experimental results based on the simulated data and the measured data verify the effectiveness of the proposed detector.
