“…However, if the number of users becomes larger than three, it is very difficult to obtain a closed-form solution. Therefore, the more general and efficient methods to obtain the IA solutions are the iterative algorithms, such as the MIL algorithm [30], the max-SINR algorithm [30], the MMSE algorithm [33], etc.…”
Section: Interference Alignmentmentioning
confidence: 99%
“…At present, the applications of IA can be found widely in multiuser MIMO systems, such as MIMO IC networks [30][31][32][33][34][35], the MIMO interference broadcasting channel (IBC) [36,37], MIMO cognitive networks [38][39][40], etc. Among these works, the joint transceiver design is the key way to achieve the spacial IA.…”
Section: Introductionmentioning
confidence: 99%
“…In [31], a subspace-based alternative IA algorithm was derived. The IA schemes based on the mean-square error (MSE) criterion were investigated in [32,33] for MIMO IC networks and in [37] for MIMO IBC networks. In [34,35], the IA transceiver designs were recast into the rank-constrained minimization framework, and the re-weighted nuclear norm minimization algorithms for IA were developed.…”
This paper considers power splitting (PS)-based simultaneous wireless information and power transfer (SWIPT) for multiple-input multiple-output (MIMO) interference channel networks where multiple transceiver pairs share the same frequency spectrum. As the PS model is adopted, an individual receiver splits the received signal into two parts for information decoding (ID) and energy harvesting (EH), respectively. Aiming to minimize the total transmit power, transmit precoders, receive filters and PS ratios are jointly designed under a predefined signal-to-interference-plus-noise ratio (SINR) and EH constraints. The formulated joint transceiver design and power splitting problem is non-convex and thus difficult to solve directly. In order to effectively obtain its solution, the feasibility conditions of the formulated non-convex problem are first analyzed. Based on the analysis, an iterative algorithm is proposed by alternatively optimizing the transmitters together with the power splitting factors and the receivers based on semidefinite programming (SDP) relaxation. Moreover, considering the prohibitive computational cost of the SDP for practical applications, a low-complexity suboptimal scheme is proposed by separately designing interference-suppressing transceivers based on interference alignment (IA) and optimizing the transmit power allocation together with splitting factors. The transmit power allocation and receive power splitting problem is then recast as a convex optimization problem and solved efficiently. To further reduce the computational complexity, a low-complexity scheme is proposed by calculating the transmit power allocation and receive PS ratios in closed-form. Simulation results show the effectiveness of the proposed schemes in achieving SWIPT for MIMO interference channel (IC) networks.
“…However, if the number of users becomes larger than three, it is very difficult to obtain a closed-form solution. Therefore, the more general and efficient methods to obtain the IA solutions are the iterative algorithms, such as the MIL algorithm [30], the max-SINR algorithm [30], the MMSE algorithm [33], etc.…”
Section: Interference Alignmentmentioning
confidence: 99%
“…At present, the applications of IA can be found widely in multiuser MIMO systems, such as MIMO IC networks [30][31][32][33][34][35], the MIMO interference broadcasting channel (IBC) [36,37], MIMO cognitive networks [38][39][40], etc. Among these works, the joint transceiver design is the key way to achieve the spacial IA.…”
Section: Introductionmentioning
confidence: 99%
“…In [31], a subspace-based alternative IA algorithm was derived. The IA schemes based on the mean-square error (MSE) criterion were investigated in [32,33] for MIMO IC networks and in [37] for MIMO IBC networks. In [34,35], the IA transceiver designs were recast into the rank-constrained minimization framework, and the re-weighted nuclear norm minimization algorithms for IA were developed.…”
This paper considers power splitting (PS)-based simultaneous wireless information and power transfer (SWIPT) for multiple-input multiple-output (MIMO) interference channel networks where multiple transceiver pairs share the same frequency spectrum. As the PS model is adopted, an individual receiver splits the received signal into two parts for information decoding (ID) and energy harvesting (EH), respectively. Aiming to minimize the total transmit power, transmit precoders, receive filters and PS ratios are jointly designed under a predefined signal-to-interference-plus-noise ratio (SINR) and EH constraints. The formulated joint transceiver design and power splitting problem is non-convex and thus difficult to solve directly. In order to effectively obtain its solution, the feasibility conditions of the formulated non-convex problem are first analyzed. Based on the analysis, an iterative algorithm is proposed by alternatively optimizing the transmitters together with the power splitting factors and the receivers based on semidefinite programming (SDP) relaxation. Moreover, considering the prohibitive computational cost of the SDP for practical applications, a low-complexity suboptimal scheme is proposed by separately designing interference-suppressing transceivers based on interference alignment (IA) and optimizing the transmit power allocation together with splitting factors. The transmit power allocation and receive power splitting problem is then recast as a convex optimization problem and solved efficiently. To further reduce the computational complexity, a low-complexity scheme is proposed by calculating the transmit power allocation and receive PS ratios in closed-form. Simulation results show the effectiveness of the proposed schemes in achieving SWIPT for MIMO interference channel (IC) networks.
“…where (10), and thus v k , k ∈ K become independent of each other. Therefore, (11) is decomposed into K subproblems with the same form as follows:…”
Section: Alternating Directionsmentioning
confidence: 99%
“…This analysis accords with the performances shown in [7], that it achieves higher sum rate than the AMA sin intermediate SNR regime, however suffers from the loss of required DoFs in the high SNR regime. Many other algorithms can also be designed to perform like Max-SINR, however none of them can achieve the optimal DoFs without IA conditions [10]. Further, IA scheme provides the receivers interference-free subspaces, with which receivers completely get rid of complicated cancelation of interference.…”
In this article, we investigate the interference alignment (IA) solution for a K-user MIMO interference channel. Proper users' precoders and decoders are designed through a desired signal power maximization model with IA conditions as constraints, which forms a complex matrix optimization problem. We propose two low complexity algorithms, both of which apply the Courant penalty function technique to combine the leakage interference and the desired signal power together as the new objective function. The first proposed algorithm is the modified alternating minimization algorithm (MAMA), where each subproblem has closed-form solution with an eigenvalue decomposition. To further reduce algorithm complexity, we propose a hybrid algorithm which consists of two parts. As the first part, the algorithm iterates with Householder transformation to preserve the orthogonality of precoders and decoders. In each iteration, the matrix optimization problem is considered in a sequence of 2D subspaces, which leads to one dimensional optimization subproblems. From any initial point, this algorithm obtains precoders and decoders with low leakage interference in short time. In the second part, to exploit the advantage of MAMA, it continues to iterate to perfectly align the interference from the output point of the first part. Analysis shows that in one iteration generally both proposed two algorithms have lower computational complexity than the existed maximum signal power (MSP) algorithm, and the hybrid algorithm enjoys lower complexity than MAMA. Simulations reveal that both proposed algorithms achieve similar performances as the MSP algorithm with less executing time, and show better performances than the existed alternating minimization algorithm in terms of sum rate. Besides, from the view of convergence rate, simulation results show that the MAMA enjoys fastest speed with respect to a certain sum rate value, while hybrid algorithm converges fastest to eliminate interference.
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