Signal detection in compound-Gaussian noise: generalized detector

Abstract

This paper handles the problem of directing signals with known form and structure and unknown or random amplitude and phase in the presence of compound-Gaussian noise with known spectral density. The generalized detector (GA) based on the generalized approach to signal processing (GASP) in noise is investigated (V. Tuzlukov, 1998, 2001, 2002). The structure of the GA detector is independent of the disturbance amplitude probability function. Based on this result, the threshold setting, which is itself independent on both the noise distribution and the signal parameters, ensures a constant false alarm rate. The detection performance analysis shows that the GA detector outperforms the optimum Neyman- Pearson (NP) receiver and the conventional square-law detector.