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Cooperative Spectrum Sensing Using Finite Demmel Condition Numbers

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A novel and robust cooperative spectrum sensing scheme based on the exact distributions of Demmel Condition Number (DCN) of finite Wishart matrix is proposed in this paper. We also provide a new and simple method to determine the coefficient vector for the distribution of smallest eigenvalue, which is the key part in the generation of DCN distributions. A simple and exact expression of Cumulative Distribution Function of DCN for arbitrary matrix sizes is originally given to determine the theoretical threshold of the proposed spectrum sensing scheme.The simulations indicate that the proposed scheme can achieve better spectrum sensing performance comparing with conventional asymptotic methods based on infinite random matrix theory, and more importantly, the proposed algorithm is more robust against noise uncertainty.

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The authors acknowledge the support from the National Natural Science Foundation of China (Grant No. 61371110), the Doctoral Fund of Ministry of Education of China (Grant No. 20130131120024), Independent Innovation Foundation of Shandong University (Grant No. 2012HW010), Outstanding Young Scientist Research Award Foundation of Shandong Province (Grant No. BS2013DX004).

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Correspondence to Wensheng Zhang.

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Qin, S., Zhang, W., Xiong, H. et al. Cooperative Spectrum Sensing Using Finite Demmel Condition Numbers. Wireless Pers Commun 80, 335–346 (2015). https://doi.org/10.1007/s11277-014-2012-8

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  • Demmel Condition Number
  • Smallest eigenvalue
  • Cooperative spectrum sensing