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This paper presents a non-coherent radar signal detection technique with a constant false alarm rate (CFAR), where a heterogeneous clutter such as a sea is considered. In this technique, the Bayesian theory is applied for the adaptive estimation of the local clutter power in the cell under test. With a noninformative prior, the proposed technique achieves the detection with no prior knowledge of the sea clutter. In order to investigate the detection performance, the Monte Carlo simulations are carried out. The results show that the proposed technique provides a higher detection probability than conventional ones such as the CA-CFAR.