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Asymptotic Analysis of Multi-Antenna Cognitive Radio Systems Using Extreme Value Theory

2015/06/17 by Ruifeng Duan, Duan, Ruifeng, Zhong Zheng +5
Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #Cognitive Radio Networks and Spectrum Sensing #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.1506.05226

arxiv created 2015/06/17 · openalex publication_date 2015/06/17 · arxiv updated 2015/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider a spectrum-sharing cognitive radio system with antenna selection applied at the secondary transmitter (ST). Based on the extreme value theory, we deduce a simple and accurate expression for the asymptotic distribution of the signal to interference plus noise ratio at the secondary receiver. Using this result, the asymptotic mean capacity and the outage capacity for the secondary user (SU) are derived. The obtained asymptotic capacities approach the exact results as the number of transmit antennas N increases. Results indicate that the rate of the SU scales as log(N) when the transmit power of the ST is limited by the maximum allowable interference level, while rate scales as log(log(N)) if ST is limited by the maximum transmit power.

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