Accelerating Quadratic Transform and WMMSE

doi:10.1109/JSAC.2024.3431523

	Accelerating Quadratic Transform and WMMSE
	Shen, Kaiming 1; Zhao, Ziping2 ; Chen, Yannan 1; Zhang, Zepeng2 ; Cheng, Hei Victor 3
	2024
发表期刊	IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS
ISSN	0733-8716
EISSN	1558-0008
卷号	PP 期号:99 页码:1-1
发表状态	已发表
DOI	10.1109/JSAC.2024.3431523
摘要	Fractional programming (FP) arises in various communications and signal processing problems because several key quantities in these fields are fractionally structured, e.g., the Cramér-Rao bound, the Fisher information, and the signal-to-interference-plus-noise ratio (SINR). A recently proposed method called the quadratic transform has been applied to the FP problems extensively. The main contributions of the present paper are two-fold. First, we investigate how fast the quadratic transform converges. To the best of our knowledge, this is the first work that analyzes the convergence rate for the quadratic transform as well as its special case the weighted minimum mean square error (WMMSE) algorithm. Second, we accelerate the existing quadratic transform via a novel use of Nesterov’s extrapolation scheme [1]. Specifically, by generalizing the minorization-maximization (MM) approach in [2], we establish a subtle connection between the quadratic transform and the gradient projection, thereby further incorporating the gradient extrapolation into the quadratic transform to make it converge more rapidly. Moreover, the paper showcases the practical use of the accelerated quadratic transform with two frontier wireless applications: integrated sensing and communications (ISAC) and massive multiple-input multiple-output (MIMO). IEEE
关键词	Acceleration Array processing Extrapolation Fisher information matrix MIMO systems Signal interference Signal to noise ratio Array signal processing Convergence Convergence rates Fractional programming Means square errors Minimum mean squares Signal processing algorithms Symmetric matrices Weighted minimum mean square error
URL	查看原文
收录类别	EI
语种	英语
出版者	Institute of Electrical and Electronics Engineers Inc.
EI入藏号	20243016760687
EI主题词	Mean square error
EI分类号	716.1 Information Theory and Signal Processing ; 921.6 Numerical Methods ; 922 Statistical Methods ; 922.2 Mathematical Statistics
原始文献类型	Article in Press
来源库	IEEE
引用统计
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/407206
专题	信息科学与技术学院信息科学与技术学院_硕士生信息科学与技术学院_PI研究组_赵子平组
作者单位	1.School of Science and Engineering, The Chinese University of Hong Kong (Shenzhen), Shenzhen, China; 2.School of Information Science and Technology, ShanghaiTech University, Shanghai, China; 3.Electrical and Computer Engineering Department, Aarhus Universrity, Aarhus, Denmark
推荐引用方式 GB/T 7714	Shen, Kaiming,Zhao, Ziping,Chen, Yannan,et al. Accelerating Quadratic Transform and WMMSE[J]. IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS,2024,PP(99):1-1.
APA	Shen, Kaiming,Zhao, Ziping,Chen, Yannan,Zhang, Zepeng,&Cheng, Hei Victor.(2024).Accelerating Quadratic Transform and WMMSE.IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS,PP(99),1-1.
MLA	Shen, Kaiming,et al."Accelerating Quadratic Transform and WMMSE".IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS PP.99(2024):1-1.