α-stable interference modeling and cauchy receiver for an IR-UWB Ad Hoc network

• Published in: IEEE transactions on communications Vol. 58; no. 6; pp. 1748 - 1757
• Main Authors: Ghannudi, Hamza El, Clavier, Laurent, Azzaoui, Nourddine, Septier, Francois, Rolland, Paul-alain
• Format: Journal Article
• Language: English
• Published: IEEE 01.06.2010; Institute of Electrical and Electronics Engineers
• Subjects: Ad hoc networks; Attenuation; Attenuation coefficients; Bit error rate; Computer Science; Density; Engineering Sciences; Exact solutions; Gaussian; Gaussian approximation; Interference; Multiple access interference; Multiple Access Interference (MAI); Narrowband; Networks; Pulse shaping methods; Random variables; Receivers; Shape; Signal and Image processing; UWB; Wideband; α-stable distribution
• ISSN: 0090-6778; 1558-0857
• DOI: 10.1109/TCOMM.2010.06.090074

In this paper we investigate ad hoc networks based on impulse radio ultra wideband. Due to multiple access, the interference distribution is not Gaussian. One important reason for errors is the presence of close interferers generating pulse collision. However such events are rare and we propose an α-stable model compatible with this fact due to its heavy tailed distribution. We derive the analytical expression of the two significant parameters. They depend on the attenuation coefficient, the users' density, the pulse collision probability and the pulse shape. We finally propose receiver strategies (Cauchy receiver and p-norm) that outperforms the classical Gaussian receiver.