Optimization of <formula> <tex>$N$</tex> </formula>-out-of-<formula> <tex>$K$</tex> </formula> Rule for Heterogeneous Cognitive Radio Networks

B, Narasimha Rao and Khan, Mohammed Zafar Ali (2019) Optimization of <formula> <tex>$N$</tex> </formula>-out-of-<formula> <tex>$K$</tex> </formula> Rule for Heterogeneous Cognitive Radio Networks. IEEE Signal Processing Letters. ISSN 1070-9908

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Abstract

This letter considers cooperative spectrum sensing (CSS) in a heterogeneous cognitive radio (CR) network, where K non identical cognitive users (CUs) and a fusion center (FC) collaboratively detect the primary user's signal using the N -out-of- K rule in the presence of erroneous control channels. We formulate a generalized optimal fusion problem (GOFP) to optimize the N -out-of- K rule for the Bayesian test and then solve the GOFP to obtain the optimal value of N . It follows that existing results on the optimal value of N in the N -out-of- K rule are special cases of the proposed solution. We then propose a framework to obtain the smallest number of CUs required in CSS while satisfying a target error bound at the FC. Numerical results are presented using the energy detector (ED) as an example.

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