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A Novel Low Complexity Scheme for Multiuser Massive MIMO Systems

IEICE TRANSACTIONS ON COMMUNICATIONS 2022年第1期E105B卷 85-96页

作者： Htun, Aye Mon Maw, Maung Sann Sasase, Iwao Mathiopoulos, P. Takis Keio Univ Dept Informat & Comp Sci Yokohama Kanagawa 2238522 Japan Natl & Kapodistrian Univ Athens Dept Informat & Telecommun Athens 15784 Greece

In this paper, we propose a novel user selection scheme based on jointly combining channel gain (CG) and signal to interference plus noise ratio (SINR) to improve the sum-rate as well as to reduce the computation complexity of multi-user massive multi-input multi-output (MU-massive MIMO) downlink transmission through a block diagonalization (BD) precoding technique. By jointly considering CG and SINR based user sets, sum-rate performance improvement can be achieved by selecting higher gain users with better SINR conditions as well as by eliminating the users who cause low sum-rate in the system. Through this approach, the number of possible outcomes for the user selection scheme can be reduced by counting the common users for every pair of user combinations in the selection process since the common users of CG-based and SINR-based sets possess both higher channel gains and better SINR conditions. The common users set offers not only sum-rate performance improvements but also computation complexity reduction in the proposed scheme. It is shown by means of computer simulation experiments that the proposed scheme can increase the sum-rate with lower computation complexity for various numbers of users as compared to conventional schemes requiring the same or less computational complexity.

关键词： MU-massive MIMO user selection transmit antenna selection computation complexity SINR SVD block diagonalization

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Fast tridiagonalization of (p, q)-pentadiagonal matrices and its applications

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JOURNAL OF SUPERCOMPUTING 2024年第13期80卷 19414-19432页

作者： Jia, Ji-Teng Xie, Rong Yilmaz, Fatih Xidian Univ Sch Math & Stat Xian 710071 Shaanxi Peoples R China Haci Bayram Veli Univ Dept Math TR-06900 Ankara Turkiye

(p, q)-Pentadiagonal matrices have attracted considerable attention in the past few years, which are one of the generalizations of pentadiagonal matrices. In the current paper, we present an algorithm for tridiagonalization of (p, q)-pentadiagonal matrices using permutation matrices. Moreover, we give the explicit representations of the permutation matrices and describe the nonzero structure of the obtained tridiagonal matrix. As applications, the tridiagonalization provides us with some useful results such as a breakdown-free algorithm of the matrix determinants and permanents, efficient parallel matrix multiplications and integer powers, and a property of the (p, q)-pentadiagonal matrix over the finite field. Some other applications on numerical linear algebra are also discussed.

关键词： (p q)-Pentadiagonal matrices Pentadiagonal matrices Tridiagonal matrices block diagonalization Tridiagonalization

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Subarray Based Low Computational Design of Multiuser MIMO System Adopting Massive Transmit Array Antenna

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IEICE TRANSACTIONS ON COMMUNICATIONS 2017年第8期E100B卷 1205-1214页

作者： Taniguchi, Tetsuki Karasawa, Yoshio Tokyo Inst Technol Sch Engn Tokyo 1528550 Japan

Massive multiple input multiple output (MIMO) communication system offers high rate transmission and/or support of a large number of users by invoking the power of a large array antenna, but one of its problem is the heavy computational burden required for the design and signal processing. Assuming the utilization of a large array in the transmitter side and much fewer users than the maximum possible value, this paper first presents a subarray based design approach of MIMO system with a low computational load taking into account efficient subarray grouping for the realization of higher performance;a large transmit array is first divided into subarrays based on channel gain or channel correlation, then block diagonalization is applied to each of them, and finally a large array weight is reconstructed by maximal ratio combining (MRC). In addition, the extension of the proposed method to two-stage design is studied in order to support a larger number of users;in the process of reconstruction to a large array, subarrays are again divided into groups, and block diagonalization is applied to those subarray groups. Through computer simulations, it is shown that the both channel gain and correlation based grouping strategies are effective under certain conditions, and that the number of supported users can be increased by two-stage design if certain level of performance degradation is acceptable.

关键词： massive MIMO multiuser block diagonalization subarray 5G

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AoD-Adaptive Channel Feedback for FDD Massive MIMO Systems With Multiple-Antenna Users

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IEEE ACCESS 2022年 10卷 4431-4447页

作者： Alaaeldin, Mahmoud Alsusa, Emad Seddik, Karim G. Mesbah, Wessam Univ Manchester Elect & Elect Engn Dept Manchester M13 9PL Lancs England Amer Univ Cairo Elect & Commun Engn Dept Cairo 11835 Egypt King Fahd Univ Petr & Minerals Elect Engn Dept Dhahran 31261 Saudi Arabia

In this paper, we propose an efficient feedback scheme for an angle of departure (AoD) based channel estimation in frequency division duplex (FDD) massive multiple-input multiple-output (MIMO) systems with multiple antennas at the users. The channel feedback scheme is based on zero-forcing block diagonalization (BD) and it is proposed for two distinct design cases;in case I, the number of streams intended for a user equals the number of antennas at that user;in case II, the number of streams is less than the number of receive antennas. Case I is applicable in scenarios where high data rate requirements are needed as it transmits data symbols over all of the available degrees of freedom of the system. Diversely, case II is applicable when reliability is a priority in the system as it uses the additional receive antennas at the user to achieve spatial diversity to enhance the link performance. The proposed scheme is analyzed for the two cases by quantifying the downlink rate gap from the case of perfect channel state information (CSI). Moreover, we design structured feedback codebooks based on optimal subspace packing in the Grassmannian manifold and show that these codes achieve close performance to the perfect CSI case. Additionally, a vector quantization scheme is proposed to quantize the user's channel matrix when optimal power allocation across multiple streams is adopted in the low signal-to-noise ratio (SNR) region. The feedback codebooks are based on optimal line packing in the Grassmannian manifold, where every vector of the user's channel matrix is quantized and sent to the BaseStation. The results demonstrate a fundamental trade-off between vector quantization, with power optimization across the data streams, and subspace quantization. Specifically, vector quantization codebooks outperform subspace-based codebooks in the low SNR region, while the situation is reversed in the high SNR region.

关键词： Downlink Channel estimation Signal to noise ratio Receiving antennas Massive MIMO Antenna feeds Vector quantization Massive MIMO FDD multiple antenna users block diagonalization singular values and singular vectors channel feedback subspace codebooks water-filling

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Efficient Sum Rate Maximization and Resource Allocation in block-Diagonalized Space-Division Multiplexing

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IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY 2009年第1期58卷 478-484页

作者： Lim, Boon Chin Krzymien, Witold A. Schlegel, Christian Univ Alberta Dept Elect & Comp Engn Edmonton AB T6G 2R3 Canada TRLabs Edmonton AB T6G 2W3 Canada

For space-division multiplexing (SDM) via block diagonalization on multiuser multiple-input multiple-output (MIMO) wireless down-link, it is shown that receive antenna selection (RAS) is necessary for maximizing the achievable sum rate. This is true even when all receive antennas are equipped with radio frequency (RF) chains and RAS reduces the upper bound on the broadcast sum capacity, and when the orthogonalized channels use optimal processing. Similarly, spatial-mode selection (SMS) is necessary for sum rate maximization when receive-weight matrices are used for spatial-mode allocation. RAS/SMS may release transmission resources that can fully be utilized via additional user scheduling to yield further sum rate gains. Optimal user selection for sum rate maximization is subsumed within an exhaustive RAS/SMS process for multiantenna terminals, and both selection processes become identical for single-antenna terminals. RAS/SMS thus helps reduce the performance gap from the optimal sum capacity even for small user pool sizes. A block antenna/mode selection approach is introduced to help overcome the drawbacks of existing algorithms. Since RAS/SMS involves antenna/mode ranking, a systematic method for resource allocation with sum rate loss minimization is inherently provided. This way, a streamlined process that combines user selection, RAS/SMS, and resource allocation is developed for sum rate maximization of block-diagonalized SDM.

关键词： block diagonalization MIMO spatial multiplexing multiuser MIMO downlink receive-antenna selection spatial-mode selection sum rate maximization

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Singularly perturbed unified time systems with low sensitivity to model reduction using delta operators

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INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE 2006年第4期37卷 243-251页

作者： Shim, KH Sawan, ME Sejong Univ Sejong Lockheed Martin Aerosp Res Ctr Seoul 143747 South Korea Wichita State Univ Dept Elect & Comp Engn Wichita KS 67260 USA

A method of designing a state feedback gain achieving a specified insensitivity of the closed-loop trajectory by the singularly perturbed unified system using the delta operators is proposed. The order of system is reduced by the singular perturbation technique by ignoring the fast mode in it. The proposed method takes care of the actual trajectory variations over the range of the singular perturbation parameter. Necessary conditions for optimality are also derived. The previous study was done in the continuous time system. The present paper extends the previous study to the discrete system and the delta-operating system that unifies the continuous and discrete systems. Advantages of the proposed method are shown in the numerical example.

关键词： delta operator finite word-length characteristics singularly perturbed system block diagonalization trajectory variation low sensitivity

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Applying Bargaining Solutions to Resource Allocation in Multiuser MIMO-OFDMA Broadcast Systems

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IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING 2012年第2期6卷 127-139页

作者： Chen, Jie Swindlehurst, A. Lee Univ Calif Irvine CPCC Irvine CA 92697 USA

Multiuser multi-input multi-output orthogonal frequency division multiple access (MIMO-OFDMA) is regarded as an important technology for increasing the flexibility and efficiency of wireless communication systems. A well-behaved resource allocation strategy is crucial for the performance of such systems. In this paper, we systematically study the allocation problem from a game theory perspective for the multiuser downlink broadcast channel. First, we investigate the application of the Nash and Kalai-Smorodinsky bargaining games to a general resource allocation problem and propose algorithms to find the corresponding solutions. Then we apply the general solutions to the special case where spatial block diagonalization is combined with time-sharing to multiplex a subset of the users on every subcarrier. To reduce the computational complexity, a framework for simplifying the resulting algorithms is also given. Numerical results and analysis are provided to compare the performance of the different resource allocation methods.

关键词： block diagonalization convex optimization game theory Kalai-Smorodinsky bargaining solution (KSBS) multiuser multi-input multi-output orthogonal frequency division multiple access (MIMO-OFDMA) Nash bargaining solution (NBS) power allocation subcarrier allocation

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Performance Evaluation of a Multi-User MIMO System With Prediction of Time-Varying Indoor Channels

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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 2013年第1期61卷 371-379页

作者： Huu Phu Bui Ogawa, Yasutaka Nishimura, Toshihiko Ohgane, Takeo Vietnam Natl Univ Natl Key Lab Digital Control & Syst Engn Univ Technol Ho Chi Minh City Vietnam Hokkaido Univ Grad Sch Informat Sci & Technol Sapporo Hokkaido Japan

In this paper, the performance of a multi-user multiple-input multiple-output (MIMO) system in time-varying channels is evaluated using measurement data. We consider the multi-user MIMO system using a block diagonalization (BD) scheme and an eigenbeam-space division multiplexing (E-SDM) technique. In an ideal case, the BD scheme eliminates inter-user interference, and the E-SDM technique suppresses inter-stream interference. In actual radio environments, however, channels change over time. This causes interference in the multi-user MIMO system even though the BD scheme and the E-SDM technique are used. To overcome this problem, the authors have developed a simple channel prediction scheme on the basis of a linear extrapolation and have demonstrated its effectiveness by computer simulations assuming the Jakes' model. To verify the performance of the channel prediction scheme in actual environments, we conducted a measurement campaign in indoor environments and measured a large amount of channel data. Using these data, we examined the channel transition and channel tracking with the prediction method. Then we obtained the bit-error rate (BER) performance. The prediction technique was shown to track the channel and improve the BER performance almost to that in the ideal time invariant case.

关键词： block diagonalization channel prediction Doppler frequency eigenbeam-space division multiplexing multi-user MIMO system time-varying environment

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Explicit formula for positive integer powers of k-tridiagonal Toeplitz matrices

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JOURNAL OF APPLIED MATHEMATICS AND COMPUTING 2023年第1期69卷 811-822页

作者： Jia, Ji-Teng Wang, Jie He, Qi Yan, Yu-Cong Yilmaz, Fatih Xidian Univ Sch Math & Stat Xian 710071 Shaanxi Peoples R China Ankara Haci Bayram Veli Univ Polatli Art & Sci Fac Dept Math TR-06900 Ankara Turkey

As a generalization of the tridiagonal matrices, k-tridiagonal matrices have been attracted much attention in the last few years. In this paper, we present an explicit expression for the arbitrary positive integer powers of k-tridiagonal matrices with Toeplitz structure. Two numerical examples are given to demonstrate the validity of the proposed results.

关键词： Tridiagonal matrices k-tridiagonal matrices Toeplitz matrices block diagonalization Integer powers

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A tridiagonalization-based numerical algorithm for computing the inverses of (p, q)-pentadiagonal matrices

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COMPUTATIONAL & APPLIED MATHEMATICS 2023年第4期42卷 1-17页

作者： Wang, Jie Jia, Ji-Teng Xie, Rong Xidian Univ Sch Math & Stat Xian 710071 Shaanxi Peoples R China

Matrix inverse computation is one of the fundamental mathematical problems of numerical linear algebra and has been widely used in various fields of computer science and engineering. In the current paper, a reliable and efficient algorithm is presented for numerically computing the inverses of n -square (p,q)-pentadiagonal matrices. The algorithm is based on the combination of a tridiagonalization approach which preserves the banded structure and sparsity of the original matrix, and a recursive algorithm for inverting general tridiagonal matrices. The experimental results of some representative numerical examples are provided to demonstrate the performance and effectiveness of the proposed algorithm and its competitiveness with MATLAB built-in function.

关键词： (p,q)-Pentadiagonal matrices block diagonalization Tridiagonalization Tridiagonal matrices Inverses

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