Abstract
Self-energy recycling cooperative communication, in which the relay nodes simultaneously harvest energy from the source and their own transmitted signal, has been demonstrated to significantly increase the total harvested energy. In this paper, we present an optimization framework for the resource allocation and relay selection with the objective of maximizing the sum-throughput in afull-duplex multi-relay multi-user multiple-input-multiple-output network by incorporating self-energy recycling at the relays, for the first time. The formulated problem is a mixed integer non-linear programming problem, which is difficult to solve for the global optimal solution in polynomial-time. As a solution strategy, we decompose the optimization problem into two sub-problems: resource allocation problem and relay selection problem. First, we solve the resource allocation problem for a predetermined relay selection by using Taylor series approximation and convex optimization techniques. For the relay selection problem, we propose a polynomial-time sub-optimal algorithm based on the idea of iteratively selecting the relay offering the maximum throughput at each time. Through simulations, we demonstrate that the proposed dynamic time FD-MIMO system increases the throughput by 30% as compared to the conventional static time protocol system, and by a factor of 2.4 over the system without self-energy recycling.
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This work is supported by the Scientific and Technological Research Council of Turkey Grant \(\#\)117E241.
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Appendix
Appendix
Proof
Taking the derivative of Lagrangian function L w.r.t \(\tau _1^{m_k,k}\) and \(\tau _2^{m_k,k}\) yields
We know that the optimization problem is maximized when
Therefore, the following equality holds
Substituting constraint (17d) into Eq. (30) gives the optimal solution of \(\tau _1^{m_k,k}\) and \(\tau _2^{m_k,k}\), as presented in Theorem 1.
Similarly, taking the derivative of L w.r.t \(p_{s,n}^{m_k,k}\) and \(p_{r,n}^{m_k,k}\) is given as
Putting the values of \(\tau _1^{m_k,k}\) and \(\tau _2^{m_k,k}\) from Eqs. (19) and (20) give
After some simple algebraic manipulations which are skipped for brevity, Eqs. (33) and (34) can be written as in Theorem 1. \(\square\)
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Kazmi, S.A.A., Iqbal, M.S. & Coleri, S. Resource allocation for full-duplex MIMO relaying system with self-energy recycling. Wireless Netw 30, 781–797 (2024). https://doi.org/10.1007/s11276-023-03527-x
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DOI: https://doi.org/10.1007/s11276-023-03527-x