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 (IEMN) - UMR 8520
2 LAGIS-SI
LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
3 Institut TELECOM/TELECOM Lille1
4 LPP - Laboratoire Paul Painlevé - UMR 8524
Abstract : 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.
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CNRS | INSTITUT-TELECOM | LAGIS | LAGIS-SI | IEMN | IMT-LILLE-DOUAI | UNIV-LILLE | UNIV-VALENCIENNES

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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⟩

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