We analyze the impact of primary users on the secondary network connectivity in a cognitive radio network. The analysis is based on the second smallest Laplacian eigenvalue, i.e., the algebraic connectivity, re-elaborated in a cognitive scenario. The contribution of this paper is twofold: first we derive the form of the average Laplacian matrix of the network, averaged over the random activity of the primary users, and compute the second smallest Laplacian eigenvalue of this matrix. We derive in this way the compact cognitive algebraic connectivity and we show that, in the scenarios we are interested in, it represents a valid estimation of the expected value of the cognitive algebraic connectivity. The second contribution is the evaluation of the impact of different topological parameters on the compact cognitive algebraic connectivity. ©2010 IEEE.
Impact of primary users on the connectivity of a cognitive radio network / Cuomo, Francesca; Anna, Abbagnale; Alessandro, Gregorini. - (2010), pp. 1-8. (Intervento presentato al convegno 9th IFIP Annual Mediterranean Ad Hoc Networking Workshop, MED-HOC-NET 2010 tenutosi a Juan Les Pins; France nel 23 June 2010 through 25 June 2010) [10.1109/medhocnet.2010.5546879].
Impact of primary users on the connectivity of a cognitive radio network
CUOMO, Francesca;
2010
Abstract
We analyze the impact of primary users on the secondary network connectivity in a cognitive radio network. The analysis is based on the second smallest Laplacian eigenvalue, i.e., the algebraic connectivity, re-elaborated in a cognitive scenario. The contribution of this paper is twofold: first we derive the form of the average Laplacian matrix of the network, averaged over the random activity of the primary users, and compute the second smallest Laplacian eigenvalue of this matrix. We derive in this way the compact cognitive algebraic connectivity and we show that, in the scenarios we are interested in, it represents a valid estimation of the expected value of the cognitive algebraic connectivity. The second contribution is the evaluation of the impact of different topological parameters on the compact cognitive algebraic connectivity. ©2010 IEEE.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
