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Optimal Detection Thresholds in Spectrum Sensing with Receiver Diversity

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Abstract

We investigate the performance of receiver diversity techniques by considering energy detector based optimal spectrum sensing in cognitive radio networks over Rayleigh fading channel for both non-cooperative and cooperative communication systems. The analysis is first focused on the non-cooperative spectrum sensing part, including the analyses of selection combining (SC), equal gain combining (EGC), and maximal ratio combining (MRC) receiver diversity systems. We derive exact closed-form expressions for the optimal detection thresholds for each diversity scheme. By using these expressions, we present their detection performance compared to the no-diversity case. Then in the second part of this paper, the performance analysis of the proposed system is investigated for amplify-and-forward relaying spectrum sensing with SC, EGC, and MRC diversity techniques in Rayleigh fading channels. Particularly, average detection probability of end-to-end signal-to-noise ratio for SC and EGC schemes and the exact closed-form expressions of the optimal detection threshold for SC, EGC, and MRC schemes are derived. We also present detection performance for the cooperative system compared to the non-cooperative one. The analyses are validated by simulated receiver operating characteristic curves.

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Authors and Affiliations

  1. Electronics and Communications Engineering Department, Yildiz Technical University, 34220, Istanbul, Turkey

    Mustafa Namdar, Haci Ilhan & Lutfiye Durak-Ata

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  1. Mustafa Namdar
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  2. Haci Ilhan
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  3. Lutfiye Durak-Ata
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Correspondence to Mustafa Namdar.

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Namdar, M., Ilhan, H. & Durak-Ata, L. Optimal Detection Thresholds in Spectrum Sensing with Receiver Diversity. Wireless Pers Commun 87, 63–81 (2016). https://doi.org/10.1007/s11277-015-3026-6

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