Closed-Form IA Solution Based on Ring-Typed Alignment Chain

doi:10.13190/j.jbupt.2021-023

Journal of Beijing University of Posts and Telecommunications ›› 2021, Vol. 44 ›› Issue (6): 48-52.doi: 10.13190/j.jbupt.2021-023

• PAPERS • Previous Articles Next Articles

Closed-Form IA Solution Based on Ring-Typed Alignment Chain

LIU Wei-hua¹, WANG Zhong-fang², ZHANG Qiu-wen¹, XU Jin¹, DING Han-qing¹

1. School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China;
2. Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, China

Received:2021-03-03 Online:2021-12-28 Published:2021-12-28

Abstract

Abstract: To obtain the closed-form interference alignment (IA) solution for general interference networks, a novel closed-form IA solution method based on ring-typed alignment chain is proposed. Frist, the IA precoding matrices are decomposed into several sub-matrices, and the ring-typed alignment chains are elaborately designed by compressing the interference subspace as much as possible. Then, based on the ring-typed alignment chains, the IA precoding matrices and filtering matrices are computed by the matrix theory. Simulation results verify that the proposed method achieves high sum-rate performance with low computational complexity.

Key words: multiple-user interference networks, interference alignment, degrees of freedom, ring-typed alignment chain, solution method

CLC Number:

TN911.4

LIU Wei-hua, WANG Zhong-fang, ZHANG Qiu-wen, XU Jin, DING Han-qing. Closed-Form IA Solution Based on Ring-Typed Alignment Chain[J]. Journal of Beijing University of Posts and Telecommunications, 2021, 44(6): 48-52.

References

[1] Shafi M, Molisch A F, Smith P J, et al.5G:a tutorial overview of standards, trials, challenges, deployment, and practice[J].IEEE Journal on Selected Areas in Communications, 2017, 35(6):1201-1221.
[2] An Jianping, Yang Kai, Wu Jinsong, et al.Achieving sustainable ultra-dense heterogeneous networks for 5G[J].IEEE Communications Magazine, 2017, 55(12):84-90.
[3] Zhao Nan, Yu F R, Jin Minglu, et al.Interference alignment and its applications:a survey, research issues, and challenges[J].IEEE Communications Surveys & Tuto-rials, 2016, 18(3):1779-1803.
[4] Maddah-Ali M A, Motahari A S, Khandani A K.Communication over MIMO X channels:interference alignment, decomposition, and performance analysis[J].IEEE Transactions on Information Theory, 2008, 54(8):3457-3470.
[5] Cadambe V R, Jafar S A.Interference alignment and degrees of freedom of the $K$-user interference channel[J].IEEE Transactions on Information Theory, 2008, 54(8):3425-3441.
[6] Bresler G, Cartwright D, Tse D.Feasibility of interfe-rence alignment for the MIMO interference channel[J].IEEE Transactions on Information Theory, 2014, 60(9):5573-5586.
[7] Liu Weihua, Zhou Weihua, Wang Ying, et al.Optimal DoF and closed-form IA design for K-user MIMO-OFDM systems[C]//2017 IEEE Wireless Communications and Networking Conference (WCNC).San Francisco:IEEE Press, 2017:1-6.
[8] Sridharan G, Yu Wei.Degrees of freedom of MIMO cellular networks:decomposition and linear beamforming design[J].IEEE Transactions on Information Theory, 2015, 61(6):3339-3364.
[9] Shao Weidong, Zhang Shun, Zhang Xiushe, et al.Suppressing interference and power allocation over the multi-cell MIMO-NOMA networks[J].IEEE Communications Letters, 2019, 23(8):1397-1400.
[10] Nasser A, Muta O, Elsabrouty M, et al.Interference mitigation and power allocation scheme for downlink MIMO-NOMA HetNet[J].IEEE Transactions on Vehicular Technology, 2019, 68(7):6805-6816.
[11] Rihan M, Huang Lei.Optimum co-design of spectrum sharing between MIMO radar and MIMO communication systems:an interference alignment approach[J].IEEE Transactions on Vehicular Technology, 2018, 67(12):11667-11680.
[12] Zeng Sheng, Wang Chaowei, Qin Cai, et al.Interfe-rence alignment assisted by D2D communication for the downlink of MIMO heterogeneous networks[J].IEEE Access, 2018, 6:24757-24766.
[13] Gomadam K, Cadambe V R, Jafar S A.A distributed numerical approach to interference alignment and applications to wireless interference networks[J].IEEE Transactions on Information Theory, 2011, 57(6):3309-3322.
[14] Peters S W, Heath R W.Interference alignment via alternating minimization[C]//2009 IEEE International Conference on Acoustics, Speech and Signal Processing.Taipei:IEEE Press, 2009:2445-2448.
[15] Sung H, Park S H, Lee K J, et al.Linear precoder designs for K-user interference channels[J].IEEE Transactions on Wireless Communications,2010,9(1):291-301.
[16] Wang Chenwei, Gou Tiangao, Jafar S A.Subspace alignment chains and the degrees of freedom of the three-user MIMO interference channel[J].IEEE Transactions on Information Theory, 2014, 60(5):2432-2479.
[17] Tresch R, Guillaud M, Riegler E.On the achievability of interference alignment in the K-user constant MIMO interference channel[C]//2009 IEEE/SP 15th Workshop on Statistical Signal Processing.Cardiff:IEEE Press, 2009:277-280.
[18] Liu Weihua, Gao Zhenxiang, Wang Ying, et al.Exploring IA feasibility in MIMO interference networks:equalized and non-equalized antennas approach[J].IEICE Transactions on Communications, 2018, E101.B(9):2047-2057.
[19] Liu Weihua, Zhang Zhe, Huang Lixun, et al.Alignment chain-based closed-form IA solution for multiple user MIMO interference networks[J].IEEE Transactions on Vehicular Technology, 2021, 70(2):1518-1527.
[20] Feng Zhijie, Liu Weihua, Han Xueqin, et al.Optimal IA design and performance analysis for MIMO-OFDM systems with imperfect CSI[J].IET Communications, 2020, 14(10):1603-1609.

Closed-Form IA Solution Based on Ring-Typed Alignment Chain

RichHTML

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 14

Recommended Articles

Metrics

Comments

[1]	LU Run-hua, LI Wei. Retrospective Interference Neutralization Scheme for the Two-Cell Multiuser Cellular Interfering Network [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2018, 41(3): 87-91.
[2]	YANG Qing, JIANG Ting, YUAN Jian, ZHOU Zheng. Power Allocation Algorithm of Semi-Blind Interference Alignment Based on Individual Performance [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2017, 40(3): 31-36.
[3]	ZHOU Mo-miao, LI Hong-yan, WANG Kan, SUO Long, MA Jian-peng. Kalman Filter-Based Prediction for Interference Alignment [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2017, 40(1): 89-93.
[4]	ZOU Wei-xia, WANG Duo-wan, DU Guang-long. On Particle Swarm Optimization for Multi-Frequency Channel Interference Alignment [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2016, 39(3): 22-26.
[5]	LI Yi-bing, ZHANG Xin-zhong, HUANG Cheng, WANG Ying-he. Interference Alignment Precoding Optimization Algorithm Based on Power Allocation [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2016, 39(2): 93-97.
[6]	XIE Xian-zhong, WANG Chuang, ZHANG Sen-lin, GE Zhen-tao. Interference Cancellation Based on Interference Alignment for Multiuser Full-Duplex Communications [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2015, 38(6): 87-92.
[7]	TIAN Xin-ji, ZHAO Hong-tu, ZHAO Wen-tao. New Space-Time Coded Transmission Scheme for MIMO Interference Channel [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2015, 38(4): 117-121.
[8]	LEI Wei-jia, ZHANG Qin, XIE Xian-zhong. Interference Alignment and Power Allocation Algorithm of Two Unicast Multiple Hops Network [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2015, 38(3): 71-76.
[9]	HU Lang-tao, YUAN Chao-wei. System Performance Analysis of Interference Alignment with Limited Feedback in Poisson Field [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2014, 37(6): 63-67.
[10]	NIU Qin, ZENG Zhi-min, ZHANG Tian-kui, GAO Qiu-bin, SUN Shao-hui. Sum-Space Interference Alignment Scheme for CoMP Systems [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2014, 37(1): 66-70.
[11]	ZHANG Yang, ZHOU Zheng, SHI Lei, LI Bin. Distributed Interference Alignment with Grassmannian Codebook [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2013, 36(4): 71-75.
[12]	LEI Wei-jia, SHI Zhao-yuan, XIE Xian-zhong, LU Hua-bing. Multi-Relay Transmission Mechanism Based on Interference Alignment and Beamforming [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2013, 36(3): 49-53.
[13]	ZHANG Yang, ZHOU Zheng, SHI Lei, LI Bin, LI De-jian. Interference Alignment Based on Exact Potential Game [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2013, 36(2): 50-54.
[14]	. A Robust Interference Alignment Scheme with Imperfect CSI Used in Multi-Cell System [J]. JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM, 2012, 35(3): 6-10.