A detection scheme for Gaussian envelope pulses over k-noise by means of the Wigner-Ville transform

In this paper we propose a complete detection scheme for Gaussian envelope pulses over k-noise by means of the Wigner-Ville transform (WVT). This scheme is based on the characterisation (definition of a probability density function model) of the WVT of k-noise. The detector consists on two steps. In the first one we propose a Neyman-Pearson test for the isolated points of the WVT. Then we use the time-frequency shape of the searched signal to complete the detection technique. Thus, we propose a simple but robust scheme where probability of false alarm and probability of detection are easily controlled by changing some simple thresholds.