A novel non-orthogonal multiple access (NOMA) enhanced device-to-device (D2D) communication model with underlaid downlink NOMA cellular network is presented in this paper. Transmitters in each of the D2D groups will be able to communicate with multiple D2D receivers simultaneously via NOMA protocol. Similarly, Base Station also communicates with multiple cellular users (CUs) via NOMA strategy. Power allocation for this hybrid model is investigated in this paper. Optimization problem is formulated as weighted sum rate maximization of the network which allows to prioritize the users in the power allocation process. Rate constraints are imposed on all the receivers in the network in order to meet quality of service requirements. Additional constraints to guarantee successful successive interference cancellation decoding are incorporated. Since the problem is non-convex, an alternate formulation is derived based on difference of convex functions. First, feasibility condition for the existence of solution is derived. Consequently, an iterative procedure based on successive approximation is used to attain optimal power distribution. We show that the proposed power allocation algorithm is convergent and attains optimal performance. Furthermore, simulation results reveal that NOMA enhanced D2D communication with underlaid NOMA cellular network achieves higher network sum rate than the scheme where CUs are scheduled based on orthogonal multiple access protocol.
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Dai, L., Wang, B., Yuan, Y., Han, S., Chih-Lin, I., & Wang, Z. (2015). Non-orthogonal multiple access for 5G: Solutions, challenges, opportunities, and future research trends. IEEE Communications Magazine, 53(9), 74–81.
Satio, Y., Kishiyama, Y., Benjebbour, A., Nakamura, T., Li, A., & Higuchi, K. (2013). Non-orthogonal multiple access (NOMA) for cellular radio access. In IEEE vehicular technology conference (pp. 1–5).
Wang, C. L., Chen, J. Y., & Chen, Y. J. (2016). Power allocation for a downlink non-orthogonal multiple access system. IEEE Wireless Communications Letters, 5(5), 532–535.
Timotheou, S., & Krikidis, I. (2015). Fairness for non-orthogonal multiple access in 5G systems. IEEE Signal Processing Letters, 22(10), 1647–1651.
Choi, J. (2016). Power allocation for max-sum rate and max–min rate proportional fairness in NOMA. IEEE Communications Letters, 20(10), 2055–2058.
Wang, C.-L., Chen, J.-Y., & Chen, Y.-J. (2016). Power allocation for a downlink non-orthogonal multiple access system. IEEE Wireless Communications Letters, 5(5), 532–535.
Parida, P., & Das, S. S. (2014). Power allocation in OFDM based NOMA systems: A DC programming approach. In IEEE globecom workshops (pp. 1026–1031).
Di, B., Song, L., & Li, Y. (2016). Sub-channel assignment power allocation and user scheduling for non-orthogonal multiple access networks. IEEE Transactions on Wireless Communications, 15(11), 7686–7698.
Nain, G., Das, S. S., & Chatterjee, A. (2018). Low complexity user selection with optimal power allocation in downlink NOMA. IEEE Wireless Communications Letters, 7(2), 158–161.
Hanif, M. F., Ding, Z., Ratnarajah, T., & Karagiannidis, G. K. (2016). A minorization-maximization method for optimizing sum rate in the downlink of non-orthogonal multiple access systems. IEEE Transactions on Signal Processing, 64(1), 76–88.
Sun, Y., Ng, D. W. K., Ding, Z., & Schober, R. (2017). Optimal joint power and subcarrier allocation for full-duplex multicarrier non-orthogonal multiple access systems. IEEE Transactions on Communications, 65(3), 1077–1091.
Wang, J., Peng, Q., Huang, Y., Wang, H. M., & You, X. (2017). Convexity of weighted sum rate maximization in NOMA systema. IEEE Signal Processing Letters, 24(9), 1323–1327.
Zhu, J., Wang, J., Huang, Y., He, S., You, X., & Yang, L. (2017). On optimal power allocation for downlink non-orthogonal multiple access systems. IEEE Journal of Selected Areas in Communications, 35(12), 2744–2757.
Yang, Z., Xu, W., Pan, C., Pan, Y., & Chen, M. (2017). On the optimality of power allocation for NOMA downlinks with individual QoS constraints. IEEE Communications Letters, 21(7), 1649–1652.
Yang, Z., Xu, W., & Li, Y. (2017). Fair non-orthogonal multiple access for visible light communication downlinks. IEEE Wireless Communications Letters, 6(1), 66–69.
Fang, F., Zhang, H., Cheng, J., & Leung, V. C. (2016). Energy-efficient resource allocation for downlink non-orthogonal multiple access network. IEEE Transactions on Communications, 64(9), 3722–3732.
Zhang, Y., Wang, H.-M., Zheng, T.-X., & Yang, Q. (2017). Energy-efficient transmission design in non-orthogonal multiple access. IEEE Transactions on Vehicular Technology, 66(3), 2852–2857.
Cui, J., Ding, Z., & Fan, P. (2016). A novel power allocation scheme under outage constraints in NOMA systems. IEEE Signal Processing Letters, 23(9), 1226–1230.
He, B., Liu, A., Yang, N., & Lau, V. K. N. (2017). On the design of secure non-orthogonal multiple access systems. IEEE Journal of Selected Areas in Communications, 35(10), 2196–2206.
Wang, Z., Jiang, L., & He, C. (2014). Optimal price-based power control algorithm in cognitive radio networks. IEEE Transactions on Wireless Communications, 13(11), 5909–5920.
Li, C., Zhang, Q., Li, Q., & Qin, J. (2016). Price-based power allocation for non-orthogonal multiple access systems. IEEE Wireless Communications Letters, 5(6), 664–667.
Wang, Z., Jiang, L., & He, C. (2018). A novel price-based power allocation algorithm in non-orthogonal multiple access networks. IEEE Communications Letters, 7(2), 230–233.
Gandotra, P., Jha, R. K., & Jain, S. (2018). Sector-based radio resource allocation (SBRRA) algorithm for better quality of service and experience in device-to-device (D2D) communication. IEEE Transactions on Vehicular Technology, 67(7), 5750–5765.
Gandotra, P., Jha, R. K., & Jain, S. (2017). A survey on device-to-device (D2D) communication: Architecture and security issues. Journal of Network and Computer Applications, 78, 9–29.
Zhao, J., Liu, Y., Chai, K. K., Chen, Y., & Elkashlan, M. (2017). Joint subchannel and power allocation for NOMA enhanced D2D communications. IEEE Transactions on Communications, 65(11), 5081–5094.
Zhao, J., Liu, Y., Chai, K. K., Chen, Y., Elkashlan, M., & Alonso-Zarate, J. (2016). NOMA-based D2D communications: Towards 5G. In IEEE global communications conference (pp. 1–6).
Pan, Y., Pan, C., Yang, Z., & Chen, M. (2018). Resource allocation for D2D communications underlaying a NOMA-based cellular network. IEEE Wireless Communications Letters, 7(1), 130–133.
Ahsan Kazmi, S. M., Tran, N. H., Ho, T. M., Manzoor, A., Niyato, D., & Hong, C. S. (2018). Coordinated device-to-device communication with non-orthogonal multiple access in future wireless cellular networks. IEEE Access, 6, 39860–39875.
Madani, N., & Sodagari, S. (2018). Performance analysis of non-orthogonal multiple access with underlaid device-to-device communications. IEEE Access, 6, 39820–39826.
Pei, L., Yang, Z., Pan, C., Huang, W., Chen, M., Elkashlan, M., et al. (2018). Energy-eficient D2D communications underlaying NOMA-based networks with energy harvesting. IEEE Communications Letters, 22(5), 914–917.
Boyd, S., & Vandenberhe, L. (2004). Convex optimization. Cambridge: Cambridge University Press.
Yang, Z., Pan, C., Xu, W., Pan, Y., Chen, M., & Elkashlan, M. (2018). Power control for multi-cell networks with non-orthogonal multiple access. IEEE Transactions on Wireless Communications, 17(2), 927–941.
You, L., Yuan, D., Lei, L., Sun, S., Chatzinotas, S., & Ottersten, B. (2018). Resource optimization with load coupling in multi-cell NOMA. IEEE Transactions on Wireless Communications, 17(7), 4735–4749.
This work was supported by Centre for Engineering Research and Development (CERD) of APJ Abdul Kalam Technological University under the Ph.D. Fellowship D-KKE16JUL001.
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Sindhu, P., Deepak, K.S. & Abdul Hameed, K.M. Joint optimal power allocation for D2D groups and underlaid non-orthogonal multiple access cellular users. Telecommun Syst 72, 365–375 (2019). https://doi.org/10.1007/s11235-019-00573-9
- Cellular user
- Device-to-device communications
- Interference management
- Non-orthogonal multiple access
- Power allocation
- Weighted sum rate maximization