An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels

doi:10.1080/10556788.2012.711330

	An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels
	Cai, Hongyan 1,2; Wang, Yanfei 3; Yi, Tao 4
刊名	OPTIMIZATION METHODS & SOFTWARE
	2014-03-04
卷号	29 期号:2 页码:310-320
关键词	fractional quadratic problem optimization SDP relaxation randomization method SNR
ISSN号	1055-6788
DOI	10.1080/10556788.2012.711330
文献子类	Article
英文摘要	Studies for the cognitive model are relatively new in the literature; however there is a growing interest in the communication field nowadays. This paper considers the cognitive model in the communication field as the problem of minimizing a fractional quadratic problem, subject to two or more quadratic constraints in complex field. Although both denominator and numerator in the fractional problem are convex, this problem is not so simple since the quotient of convex functions is not convex in most cases. We first change the fractional problem into a non-fractional one. Second, we consider the semi-definite programming (SDP) method. For the problem with m (m2) constraints, we use the SDP relaxation and obtain the exact optimal solution. However, for the problem with m (m>2) constraints, we choose the randomization method to gain an approximation solution in the complex case. At last, we apply this method to practical communications over wireless channels with good results.
WOS关键词	OPTIMIZATION ; MAXIMIZATION ; MINIMIZATION ; RATIOS ; BOUNDS ; SUM
WOS研究方向	Computer Science ; Operations Research & Management Science ; Mathematics
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000326672400008
资助机构	National Natural Science Foundation of China(10971017 ; National Natural Science Foundation of China(10971017 ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; 40974075) ; 40974075) ; National Natural Science Foundation of China(10971017 ; National Natural Science Foundation of China(10971017 ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; 40974075) ; 40974075) ; National Natural Science Foundation of China(10971017 ; National Natural Science Foundation of China(10971017 ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; 40974075) ; 40974075) ; National Natural Science Foundation of China(10971017 ; National Natural Science Foundation of China(10971017 ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; Knowledge Innovation Programs of Chinese Academy of Sciences(KZCX2-YW-QN107) ; 40974075) ; 40974075)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/86150]
专题	中国科学院地质与地球物理研究所
通讯作者	Wang, Yanfei
作者单位	1.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China 2.Hebei Univ Econ & Business, Coll Math & Stat, Shijiazhuang 050061, Peoples R China 3.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China 4.Beijing Univ Posts & Telecommun, Sch Informat & Commun Engn, Beijing 100876, Peoples R China
推荐引用方式 GB/T 7714	Cai, Hongyan,Wang, Yanfei,Yi, Tao. An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels[J]. OPTIMIZATION METHODS & SOFTWARE,2014,29(2):310-320.
APA	Cai, Hongyan,Wang, Yanfei,&Yi, Tao.(2014).An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels.OPTIMIZATION METHODS & SOFTWARE,29(2),310-320.
MLA	Cai, Hongyan,et al."An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels".OPTIMIZATION METHODS & SOFTWARE 29.2(2014):310-320.