Simple and Accurate Closed-Form Approximation of the Standard Condition Number Distribution with Application in Spectrum Sensing

Hussein Kobeissi (1) , Amor Nafkha (1) , Youssef Nasser (2) , Oussama Bazzi (3) , Yves Louët (1)

1 IETR - Institut d'Électronique et des Technologies du numéRique
2 ECE Department
3 Department of Physics and Electronics

"Standard condition number (SCN) detector is a promising detector that can work e ectively in uncertain environments. In this paper, an accurate and simple closed form approximation of the con- dition number distribution is provided using the generalized extreme value (GEV) distribution. The approximation framework is based on the moment-matching method and used to perform spectrum sensing for asymptotic matrix dimension. The expressions of the moments are approximated using bi-variate Taylor expansion and results from random matrix theory. Through intensive simulations, it is shown that the derived approximation is tightly matched to the condition number distribution."

Domains: Engineering Sciences [physics]; Signal and Image processing

Hussein Kobeissi, Amor Nafkha, Youssef Nasser, Oussama Bazzi, Yves Louët. Simple and Accurate Closed-Form Approximation of the Standard Condition Number Distribution with Application in Spectrum Sensing . 11th EAI International Conference on Cognitive Radio Oriented Wireless Networks, Jun 2016, Grenoble, France. ⟨hal-01318207⟩