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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'Electronique et de Télécommunications de Rennes
2 ECE Department
3 Department of Physics and Electronics
Abstract : "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."
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Conference papers
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01318207
Contributor : Myriam Andrieux <>
Submitted on : Thursday, May 19, 2016 - 1:27:35 PM
Last modification on : Wednesday, July 15, 2020 - 11:52:04 AM

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  • HAL Id : hal-01318207, version 1

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CNRS | IETR | IETR_SCEE | UNIV-NANTES | UNIV-RENNES1 | SUP_IETR | CENTRALESUPELEC | SUP_SCEE | UR1-UFR-ISTIC | UNIV-RENNES | INSA-GROUPE | INSA-RENNES

Citation

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⟩

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