Robust Beamforming for Nonorthogonal Multiple-Access Systems in MISO Channels

Zhang, Qi; Li, Quanzhong; Qin, Jiayin

doi:10.1109/tvt.2016.2547998

Cited by 125 publications

(121 citation statements)

References 15 publications

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“…In Ding et al, 1,2 the NOMA technique is applied to a single antenna system. To obtain performance gains of multiple antennas, NOMA is applied to multiple-input single-output (MISO) systems in Kimy et al and Zhang et al 3,4 Further studies about multiple-input multiple-output (MIMO) systems with NOMA are focused in Ding et al 5 Orthogonal space-time block coding (OSTBC) is a technique that can obtain gains in time and space. In Yu et al, 6 the authors study a unified error analysis of multi-antenna systems with OSTBC using transmit antenna selection (TAS) over Nakagami-m channels.…”

Section: Discussionmentioning

confidence: 99%

“…We assume that the minimum SNR requirement of the weak user γ 0 is 0.10 dB. From Figure 6, we find that with the increase of power factor ϕ 1 , the average achievable secrecy sum rate of all schemes increase first and then decrease, showing that the power factor significantly FIGURE 4 The average sum rate of legal users versus P s /σ 2 , obtained by "OSTBC+NOMA" scheme and the conventional "OSTBC+OMA" scheme…”

Section: Figurementioning

confidence: 95%

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Secrecy sum rate optimization in MISO nonorthogonal multiple access systems with orthogonal space‐time block coding

Yan

Zhang

et al. 2019

Int J Communication

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In this paper, we investigate the secrecy sum rate optimization problem for a multiple-input single-output (MISO) nonorthogonal multiple access (NOMA) system with orthogonal space-time block codes (OSTBC). This system consists of a transmitter, two users, and a potential eavesdropper. The transmitter sends information by orthogonal space-time block codes. The transmitter's precoder and the power allocation scheme are designed to maximize achievable secrecy sum rate subject to the power constraint at the transmitter and the minimum transmission rate requirement of the weak user. We consider two cases of the eavesdropper's channel condition to obtain positive secrecy sum rate. The first case is the eavesdropper's equivalent channel is the weakest, and the other is the eavesdropper's equivalent channel between the strong user and weak user. For the former case, we employ the constrained concave convex procedure (CCCP)-based iterative algorithm with one-dimensional search. While for the latter, we adopt the method of alternating optimization (AO) between precoder and power allocation. We solve a semidefinite programming to optimize the precoder and drive a closed-form expression of power allocation. The simulation results obtained by our method demonstrate the superiority of our proposed scheme.KEYWORDS multiple-input single-output (MISO), nonorthogonal multiple access (NOMA), orthogonal space-time block codes (OSTBC), security, precoder, power allocation

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Section: Discussionmentioning

confidence: 99%

Section: Figurementioning

confidence: 95%

Secrecy sum rate optimization in MISO nonorthogonal multiple access systems with orthogonal space‐time block coding

Yan

Zhang

et al. 2019

Int J Communication

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“…Finally, to obtain the solution of optimization problem (21), we need to iteratively solve (39 k } are updated according to the solution obtained at previous iteration, and problem (39) is resolved until the results converge or the iteration index reaches its maximum value. Additionally, since (39) without rankone constraint is a convex optimization problem, iteratively updating all variables will increase or at least maintain the value of the OF in (39) [41], [42]. Given the limited transmit power, the value of the OF should be monotonically non-decreasing sequence with an upper bound, which converges to a stationary solution that is at least locally optimal.…”

Section: B Problem Solutionmentioning

confidence: 99%

Secure Millimeter Wave Cloud Radio Access Networks Relying on Microwave Multicast Fronthaul

Hao

Sun

Zhang

et al. 2020

IEEE Trans. Commun.

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In this paper, we investigate the downlink secure beamforming (BF) design problem of cloud radio access networks (C-RANs) relying on multicast fronthaul, where millimeter-wave and microwave carriers are used for the access links and fronthaul links, respectively. The base stations (BSs) jointly serve users through cooperating hybrid analog/digital BF. We first develop an analog BF for cooperating BSs. On this basis, we formulate a secrecy rate maximization (SRM) problem subject both to a realistic limited fronthaul capacity and to the total BS transmit power constraint. Due to the intractability of the non-convex problem formulated, advanced convex approximated techniques, constrained concave convex procedures and semidefinite programming (SDP) relaxation are applied to transform it into a convex one. Subsequently, an iterative algorithm of jointly optimizing multicast BF, cooperative digital BF and the artificial noise (AN) covariance is proposed. Next, we construct the solution of the original problem by exploiting both the primal and the dual optimal solution of the SDP-relaxed problem. Furthermore, a per-BS transmit power constraint is considered, necessitating the reformulation of the SRM problem, which can be solved by an efficient iterative algorithm. We then eliminate the idealized simplifying assumption of having perfect channel state information (CSI) for the eavesdropper links and invoke realistic imperfect CSI. Furthermore, a worst-case SRM problem is investigated. Finally, by combining the so-called S-Procedure and convex approximated techniques, we design an efficient iterative algorithm to solve it. Simulation results are presented to evaluate the secrecy rate and demonstrate the effectiveness of the proposed algorithms.

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“…Meanwhile, the optimal θ nk and d nk can be updated at each iteration. To this end, iteratively updating the above parameters will increases or at least maintain the value of the objective function (29) [24]. Therefore, Algorithm 3 will converge to a stationary solution due to the limited transmit power.…”

Section: Wmmse-based Approach For Solving (19)mentioning

confidence: 99%

Green Communication for NOMA-Based CRAN

Hao

Chu

Zhou

et al. 2019

IEEE Internet Things J.

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Abstract-The wireless devices will rapidly growth with the application of the Internet of Thing (IoT), which results in the huge power consumption. To realize the green communication, in this paper, we study the energy efficiency (EE) problem in a non-orthogonal multiple access (NOMA)-based CRAN, where microwave and millimeter wave (mmWave) are applied in fronthaul and access links, respectively. Based on this, we formulate the power optimization problem to maximize the EE of the system subject to the fronthaul capacity and transmit power constraints. Due to the formulated problem is nonconvex, we first transform the fractional objective function into the subtractive form. After that, an algorithm containing outer and inner loops is proposed to deal with this non-convex problem. In particular, in the outer loop, the 1 -norm technique is adopted to transform the nonconvex fronthaul capacity constraint into the convex one; while in the inner loop, the weighted minimum mean square error (WMMSE) approach is applied to solve the formulated problem. Simulation results demonstrate that the proposed NOMA scheme can obtain higher EE as well as throughput in comparison with the conventional orthogonal multiple access (OMA) scheme.

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Robust Beamforming for Nonorthogonal Multiple-Access Systems in MISO Channels

Cited by 125 publications

References 15 publications

Secrecy sum rate optimization in MISO nonorthogonal multiple access systems with orthogonal space‐time block coding

Secrecy sum rate optimization in MISO nonorthogonal multiple access systems with orthogonal space‐time block coding

Secure Millimeter Wave Cloud Radio Access Networks Relying on Microwave Multicast Fronthaul

Green Communication for NOMA-Based CRAN

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