Three receiver structures and their performance analyses for binary signalling in a mixture of Gaussian and α-stable impulsive noises

The effects of impulsive noise on the performance of optimal and suboptimal binary receivers are examined. The noise mixture consists of a sum of Gaussian noise and impulsive noise. The impulsive noise is modelled using α-stable processes. The optimal receiver structure is derived using Bayes hypothesis testing and the suboptimal receivers consist of linear and nonlinear structures. The obtained results will be useful in the performance evaluation of digital communication links subject to Gaussian and impulsive noises. Many situations exist in which the performance of systems is affected by a mixture of Gaussian and impulsive noises that could benefit from this analysis (atmospheric noise in radio links, ice cracking in underwater sonar etc.)