On the Asymptotic Throughput of the k-th Best Secondary User Selection in Cognitive Radio Systems

Yazan H. Al-Badarneh; Costas N. Georghiades; Mohamed-Slim Alouini

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arXiv · 1804.05257

On the Asymptotic Throughput of the k-th Best Secondary User Selection in Cognitive Radio Systems

Yazan H. Al-Badarneh·Costas N. Georghiades·Mohamed-Slim Alouini

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Abstract

We analyze the asymptotic average and effective throughputs of a multiuser diversity scheme for a secondary multiuser network consisting of multiple secondary users (transmitters) and one secondary receiver. Considering a transmit power adaptation strategy at the secondary users to satisfy the instantaneous interference constraint at the primary receiver, the secondary receiver selects the $k$-th best secondary user for transmission, namely, the one with the $k$-th highest signal-to-noise ratio (SNR). We use extreme value theory to show that the $k$-th highest SNR converges uniformly in distribution to an inverse gamma random variable for a fixed $k$ and large number of secondary users. We use this result to derive closed-form asymptotic expressions for the average and effective throughputs of the $k$-th best secondary user.

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Yazan H. Al-Badarneh, Costas N. Georghiades, Mohamed-Slim Alouini. 2018-04-14. On the Asymptotic Throughput of the k-th Best Secondary User Selection in Cognitive Radio Systems. https://arxiv.org/abs/1804.05257

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