Performance of an Optimal Receiver in the Presence of Alpha-Stable and Gaussian Noises

Hassan K. Khalil (1) , Laurent Clavier (1) , François Septier (2, 3) , Laurence Marsalle (4) , Gwenaelle Castellan (4)

1 IEMN - Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520
2 LAGIS-SI
3 Institut TELECOM/TELECOM Lille1
4 LPP - Laboratoire Paul Painlevé - UMR 8524

This paper deals with the optimal (in the maximum likeli- hood sense) detection performance of binary transmission in a mixture of a Gaussian noise and an impulsive interference modeled as an alpha-stable process. The main contribution is in the Monte Carlo simulation that shows that the Gaussianity assumption for the test statistic as reported in earlier works is not valid unless a very large number of repetitions is used.

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]; Applications [stat.AP]

Hassan K. Khalil, Laurent Clavier, François Septier, Laurence Marsalle, Gwenaelle Castellan. Performance of an Optimal Receiver in the Presence of Alpha-Stable and Gaussian Noises. IEEE International Workshop on Statistical Signal Processing, Jun 2011, Nice, France. pp.205-208, ⟨10.1109/SSP.2011.5967762⟩. ⟨hal-00685920⟩