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Robust Precoding and Beamforming Design of OSTBC Based CR AF-MIMO Relay System with Energy Harvesting Receiver

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Abstract

In this paper, we investigate the robust precoding and beamforming design problem for orthogonal space–time block code (OSTBC) based cognitive radio amplify-and-forward multiple-input–multiple-output relay systems with simultaneous wireless information and power transfer which consists of a primary receiver, a secondary source, a secondary relay, a secondary destination and an energy harvesting receiver. The secondary source and the secondary relay employ OSTBC based precoding and beamforming. The secondary relay and the secondary destination employ maximum-ratio combining for signal detecting and decoding. Our objective is to maximize the worst-case achievable rate under the sum transmit power constraint, the worst-case sum harvested power constraint and the worst-case interference power constraint. We transform the objective function into a convex function and convert the semi-infinite constraints into linear matrix inequalities by using \({\mathcal {S}}\)-Lemma and the extension of \({\mathcal {S}}\)-Lemma. Simulation results demonstrate that our proposed robust precoding and beamforming design has significant performance gain over the non-robust one.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grants 61472458, 61202498, and 61173148, in part by Guangdong Natural Science Foundation under Grants 2014A030311032 and 2014A030313111, and in part by the Fundamental Research Funds for the Central Universities under Grant 15lgzd10.

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Correspondence to Bingjie Wang.

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Wang, B., Zhang, Q. & Qin, J. Robust Precoding and Beamforming Design of OSTBC Based CR AF-MIMO Relay System with Energy Harvesting Receiver. Wireless Pers Commun 85, 1153–1165 (2015). https://doi.org/10.1007/s11277-015-2832-1

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Keywords

  • Amplify-and-forward multiple-input–multiple-output (AF-MIMO)
  • Energy harvesting (EH)
  • Relay system
  • Cognitive radio (CR)
  • Orthogonal space–time block code (OSTBC)