A Simple formulation for the Distribution of the Scaled Largest Eigenvalue and application to Spectrum Sensing

Hussein Kobeissi 1 Amor Nafkha 1 Youssef Nasser 2 Oussama Bazzi 3 Yves Louët 1
1 IETR - Institut d'Electronique et de Télécommunications de Rennes
2 ECE Department
3 Department of Physics and Electronics
Abstract : "Scaled largest eigenvalue (SLE) detector stands out as the best single-primary-user detector in uncertain noisy environments. In this paper, we consider a multi-antenna cognitive radio system in which we aim at detecting the presence/absence of a primary user (PU) using the SLE detector. We study the distribution of the SLE as a large num- ber of samples are used in detection without constraint on the number of antennas. By the exploitation of the distributions of the largest eigen- value and the trace of the receiver sample covariance matrix, we show that the SLE could be modeled as a normal random variable. Moreover, we derive the distribution of the SLE and deduce a simple yet accurate form of the probability of false alarm. Hence, this derivation yields a very simple form of the detection threshold. The analytical derivations are validated through extensive Monte Carlo simulations."
Type de document :
Communication dans un congrès
11th EAI International Conference on Cognitive Radio Oriented Wireless Networks, Jun 2016, Grenoble, France. 2016
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01318205
Contributeur : Myriam Andrieux <>
Soumis le : jeudi 19 mai 2016 - 13:21:46
Dernière modification le : jeudi 11 octobre 2018 - 11:52:03

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  • HAL Id : hal-01318205, version 1

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Hussein Kobeissi, Amor Nafkha, Youssef Nasser, Oussama Bazzi, Yves Louët. A Simple formulation for the Distribution of the Scaled Largest Eigenvalue and application to Spectrum Sensing . 11th EAI International Conference on Cognitive Radio Oriented Wireless Networks, Jun 2016, Grenoble, France. 2016. 〈hal-01318205〉

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