“…Nevertheless, the implementation of the fully-connected structure in massive MIMO systems requires high hardware consumption due to the large demand of APSs and RF adders. To provide a tradeoff between two structures, the adaptively-connected hybrid precoding (AHP) scheme is adopted in [35]- [38]. As shown in Fig.…”
Section: A Related Workmentioning
confidence: 99%
“…where w k ∈ C N r,k ×1 denotes the RF combiner of the k-th user, H k ∈ C N r,k ×Nt denotes the channel matrix between the BS and the k-th user, n k ∈ C N r,k ×1 denotes a complex Gaussian noise vector with each element obeying CN (0, σ 2 k ) (assumed same for each user, i.e., σ 2 k = σ 2 , ∀k). The Saleh-Valenzuela model is commonly accepted to characterize the limited scattering feature of mmWave channel [23], [25], [38], which is also adopted in this paper. The normalized channel for the k-th user consists of N c,k scattering clusters, each of which is a sum of contributions of N p,k propagation paths, which can be depicted as…”
Section: A System Modelmentioning
confidence: 99%
“…Due to the constraint (29), it is worth mentioning that greedy clustering each sample into the nearest cluster is not advisable, since it will lead to inconsistent numbers of members in different clusters. For the fairness among RF chains, which is similarly considered in [36], [38], we assign members to different clusters in turn from step 8 to step 11 as an inner loop. And the inner loop will be repeated M times for the complete design.…”
Hybrid precoding has been recognized as a promising technology to combat the path loss of millimeter wave signals in massive multiple-input multiple-output (MIMO) systems. However, due to the joint optimization of the digital and analog precoding matrices as well as extra constraints for the analog part, the hybrid precoding design is still a tough issue in current research. In this paper, we adopt the thought of clustering in unsupervised learning and provide design schemes for fullyconnected hybrid precoding (FHP) and adaptively-connected hybrid precoding (AHP) in multi-user massive MIMO systems. For FHP, we propose the hierarchical-agglomerative-clusteringbased (HAC-based) scheme to explore the relevance among RF chains in optimal hybrid procoding design. The similar RF chains are merged into an individual RF chain when insufficient RF chains are equipped at the base station (BS). For AHP, we propose the modified-K-means-based (MKM-based) scheme to explore the relevance among antennas at the BS. The similar antennas are supported by the same RF chain to make full use of the flexible connection in AHP. Particularly, in proposed MKM-based AHP design, the clustering centers are updated by alternatingoptimum-based (AO-based) scheme with a special initialization method, which is capable to individually provide feasible subconnected hybrid precoding (SHP) design. Simulation results highlight the superior spectrum efficiency of proposed HACbased FHP scheme, and the high power efficiency of proposed MKM-based AHP scheme. Moreover, all the proposed schemes are clarified to effectively handle the inter-user interference and outperform the existing work.Index Terms-Millimeter wave, multi-user massive MIMO systems, clustering, hybrid precoding.
“…Nevertheless, the implementation of the fully-connected structure in massive MIMO systems requires high hardware consumption due to the large demand of APSs and RF adders. To provide a tradeoff between two structures, the adaptively-connected hybrid precoding (AHP) scheme is adopted in [35]- [38]. As shown in Fig.…”
Section: A Related Workmentioning
confidence: 99%
“…where w k ∈ C N r,k ×1 denotes the RF combiner of the k-th user, H k ∈ C N r,k ×Nt denotes the channel matrix between the BS and the k-th user, n k ∈ C N r,k ×1 denotes a complex Gaussian noise vector with each element obeying CN (0, σ 2 k ) (assumed same for each user, i.e., σ 2 k = σ 2 , ∀k). The Saleh-Valenzuela model is commonly accepted to characterize the limited scattering feature of mmWave channel [23], [25], [38], which is also adopted in this paper. The normalized channel for the k-th user consists of N c,k scattering clusters, each of which is a sum of contributions of N p,k propagation paths, which can be depicted as…”
Section: A System Modelmentioning
confidence: 99%
“…Due to the constraint (29), it is worth mentioning that greedy clustering each sample into the nearest cluster is not advisable, since it will lead to inconsistent numbers of members in different clusters. For the fairness among RF chains, which is similarly considered in [36], [38], we assign members to different clusters in turn from step 8 to step 11 as an inner loop. And the inner loop will be repeated M times for the complete design.…”
Hybrid precoding has been recognized as a promising technology to combat the path loss of millimeter wave signals in massive multiple-input multiple-output (MIMO) systems. However, due to the joint optimization of the digital and analog precoding matrices as well as extra constraints for the analog part, the hybrid precoding design is still a tough issue in current research. In this paper, we adopt the thought of clustering in unsupervised learning and provide design schemes for fullyconnected hybrid precoding (FHP) and adaptively-connected hybrid precoding (AHP) in multi-user massive MIMO systems. For FHP, we propose the hierarchical-agglomerative-clusteringbased (HAC-based) scheme to explore the relevance among RF chains in optimal hybrid procoding design. The similar RF chains are merged into an individual RF chain when insufficient RF chains are equipped at the base station (BS). For AHP, we propose the modified-K-means-based (MKM-based) scheme to explore the relevance among antennas at the BS. The similar antennas are supported by the same RF chain to make full use of the flexible connection in AHP. Particularly, in proposed MKM-based AHP design, the clustering centers are updated by alternatingoptimum-based (AO-based) scheme with a special initialization method, which is capable to individually provide feasible subconnected hybrid precoding (SHP) design. Simulation results highlight the superior spectrum efficiency of proposed HACbased FHP scheme, and the high power efficiency of proposed MKM-based AHP scheme. Moreover, all the proposed schemes are clarified to effectively handle the inter-user interference and outperform the existing work.Index Terms-Millimeter wave, multi-user massive MIMO systems, clustering, hybrid precoding.
“…Limited works have been carried out for dynamic subarray-connected structures were proposed in [16][17][18][19][20]. This new structure is different from the previous structure, which uses a dynamic subarray connection structure to connect the RF chain and antenna according to the channel state information of the users.…”
Section: Introductionmentioning
confidence: 99%
“…In [17], based on knowing the long-term channel characteristics, a technique of dynamically hybrid subarrays was developed, but the user's fairness was ignored. In [18], consider the number of RF chains which is more than or equal to that of scheduled users and utilized AHP based on the singular value decomposition (SVD). However, that scheme does not study the problem of user selection when the number of users increases.…”
Hybrid precoding is widely used in millimeter wave (mmWave) massive multiple-input multiple-output (MIMO) systems. However, most prior work on hybrid precoding focused on the fully connected hybrid architectures and the subconnected but fixed architectures in which each radio frequency (RF) chain is connected to a specific subset of the antennas. The limited work shows that dynamic subarray architectures address the tradeoff between achievable spectral efficiency and energy efficiency of mmWave massive MIMO systems. Nevertheless, in the multiuser hybrid precoding systems, the existing dynamic subarray schemes ignore the fairness of users and the problem of user selection. In this paper, we propose a novel multiuser hybrid precoding scheme for dynamic subarray architectures. Firstly, we select a multiuser set among all users according to the analog effective channel information of the base station (BS) and then design the subset of the antennas to each RF by the fairness antenna-partitioning algorithm. Finally, the optimal analog precoding vector is designed according to each subarray, and the digital precoding is designed by the minimum mean-squared error (MMSE) criterion. The simulation results show that the performance advantages of the proposed multiuser hybrid precoding scheme for dynamic subarray architectures.
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