Distributed Transmit Beamforming Over Rician Fading: Design and Analysis of Nonuniform Codebook for Feedback Quantization

被引:3
|
作者
Hu, Guojie [1 ]
Si, Jiangbo [2 ]
Cai, Yunlong [3 ]
Xu, Donghui [1 ]
Al-Dhahir, Naofal [4 ]
机构
[1] Rocket Force Univ Engn, Coll Commun Engn, Xian 710025, Peoples R China
[2] Xidian Univ, Integrated Serv Networks Lab, Xian 710100, Peoples R China
[3] Zhejiang Univ, Coll Informat Sci & Elect Engn, Hangzhou 310027, Peoples R China
[4] Univ Texas Dallas, Dept Elect & Comp Engn, Richardson, TX 75080 USA
来源
IEEE SYSTEMS JOURNAL | 2023年 / 17卷 / 04期
关键词
Codebook-based quantization; distributed transmit beamforming (DTB); ergodic capacity; Laguerre series; nonuniform codewords; outage probability;
D O I
10.1109/JSYST.2023.3302278
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Distributed transmit beamforming (DTB) enhances the transmit diversity and energy efficiency in wireless sensor networks. To implement DTB, one key issue is that the fusion center should feed back each sensor the estimated channel phase information (CPI), based on which each sensor can accordingly preprocess the transmit signal phase to coordinate in transmitting a common message to the fusion center. Because of feedback overhead and link rate constraint, codebook-based quantization methods are usually exploited to provide such CPI. However, how to effectively construct the optimal codebook over the general Rician fading channel model is not well understood in the current literature, not to mention its related performance analysis. Motivated by this research gap, in this article, 1) we first develop a low-complexity iterative algorithm to construct the optimal codebook; 2) we then reveal that in the designed codebook, the codewords are not uniformly distributed. More specifically, as the absolute value of the codeword increases, the distance between adjacent codewords increases gradually; 3) based on 1) and 2), we further derive the exact probability density function (PDF) of the residual phase error resulting from feedback quantization; 4) finally, we exploit this PDF and also the Laguerre series approximation to characterize, in closed form, the very tight approximation for the receiving signal-to-noise ratio distribution at the fusion center, which is then exploited for performance analysis of outage probability, diversity order, and ergodic capacity. Numerical results show that our designed codebook can achieve higher performance gains compared with the widely used equidistance phase-shift-keying-based codebook.
引用
收藏
页码:6260 / 6271
页数:12
相关论文
共 50 条
  • [1] Novel Codebook Design for Channel State Information Quantization in MIMO Rician Fading Channels With Limited Feedback
    Kang, Jinho
    Choi, Wan
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2021, 69 : 2858 - 2872
  • [2] Polar-Cap Codebook Design for MISO Rician Fading Channels With Limited Feedback
    Hong, Sung Hyuck
    Kim, Sucheol
    Choi, Junil
    Choi, Wan
    IEEE WIRELESS COMMUNICATIONS LETTERS, 2021, 10 (04) : 730 - 734
  • [3] Performance of transmit beamforming in Ricean fading channels: Robustness on quantization error and feedback error
    Tsai, JA
    Buehrer, RM
    Woerner, BD
    IEEE 56TH VEHICULAR TECHNOLOGY CONFERENCE, VTC FALL 2002, VOLS 1-4, PROCEEDINGS, 2002, : 1792 - 1795
  • [4] Optimality of Transmit Beamforming in Spatially Correlated MIMO Rician Fading Channels
    D. E. Kontaxis
    G. V. Tsoulos
    G. E. Athanasiadou
    S. Karaboyas
    Wireless Personal Communications, 2016, 88 : 371 - 384
  • [5] Optimality of Transmit Beamforming in Spatially Correlated MIMO Rician Fading Channels
    Kontaxis, D. E.
    Tsoulos, G. V.
    Athanasiadou, G. E.
    Karaboyas, S.
    WIRELESS PERSONAL COMMUNICATIONS, 2016, 88 (02) : 371 - 384
  • [6] Constrained Codebook Design for a MISO Beamforming System in a Rician Channel
    Kim, Joontae
    Park, Dong-Jo
    2009 IEEE VEHICULAR TECHNOLOGY CONFERENCE, VOLS 1-5, 2009, : 1049 - 1053
  • [7] Performance Analysis of Distributed Transmit Beamforming with Quantized Channel Feedback
    Sung, Chang Kyung
    Ahmad, Ishtiaq
    Lechner, Gottfried
    Suzuki, Hajime
    2019 IEEE 89TH VEHICULAR TECHNOLOGY CONFERENCE (VTC2019-SPRING), 2019,
  • [8] Distributed Transmit Beamforming without Phase Feedback
    Chen Wang
    Qinye Yin
    Jingjing Zhang
    Bo Hao
    Wei Li
    EURASIP Journal on Wireless Communications and Networking, 2010
  • [9] Distributed Transmit Beamforming Using Feedback Control
    Mudumbai, Raghuraman
    Hespanha, Joao
    Madhow, Upamanyu
    Barriac, Gwen
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (01) : 411 - 426
  • [10] Beamforming codebook design for temporally correlated fading channels
    Wan, Hong
    Chen, Rong-Rong
    2008 46TH ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING, VOLS 1-3, 2008, : 1347 - 1353