Improved post detection integration

In many signal processing applications, conducting a coherent integration over the whole observation duration is not possible due to uncontrolled phase evolutions. In such a case one may refer to Post Detection Integration that consists in wisely combine shorter time integration outputs. In this paper, we propose a new detector that improves the state of art ones. Compared with the GLRT from which it is derived, it consists in a closed-form expression. Moreover, it is based on a simple linear phase assumption and can be used, by the way, in a wide area of applications.