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Linear Relaying Design for Spectrum Sharing Non-regenerative MIMO Cognitive Multiple-Relay Systems

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Abstract

In this paper, we study optimal precoding matrix for spectrum sharing multiple-input multiple-output (MIMO) cognitive multiple-relay systems. Our aim is to maximize the system capacity subject to the total relay transmit power constraint and the interference power constraint at the primary user. For general case, all the nodes have multiple antennas. The precoder design problem is a non-convex problem. Currently there is no global optimal solution for it. We propose a suboptimal algorithm in which we first transform the original precoder design problem to a unitary matrix constrained problem. And then, we develop a modified Riemannian steepest descent algorithm (MRSDA) to solve it. For the special case that the secondary user has a single antenna and other nodes have multi-antennas, we propose an optimal solution based on rank-one decomposition theorem to transform the original problem into a semidefinite programming. Simulation results demonstrate the effectiveness of the proposed precoding matrix design algorithms.

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Notes

  1. The imperfect CSI case will be considered in our future work.

  2. We adopt the assumption that the interference from the PU to SU is neglected as [4–12]. In IEEE 802:22 standard, the secondary wireless regional area network (WRAN) is located far away from the primary transmitter and hence the interference from the primary transmitter can be neglected at the secondary receiver.

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Acknowledgments

This work was supported by the National Natural Science Foundation of P. R. China (61472458, 61202498, 61173148).

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Authors and Affiliations

  1. School of Advanced Computing, Sun Yat-Sen University, Guangzhou, 510006, Guangdong, China

    Quanzhong Li, Renhai Feng & Jiayin Qin

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  1. Quanzhong Li
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  2. Renhai Feng
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  3. Jiayin Qin
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Correspondence to Quanzhong Li.

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Li, Q., Feng, R. & Qin, J. Linear Relaying Design for Spectrum Sharing Non-regenerative MIMO Cognitive Multiple-Relay Systems. Wireless Pers Commun 81, 1045–1062 (2015). https://doi.org/10.1007/s11277-014-2170-8

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