An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels | |
Cai, Hongyan1,2; Wang, Yanfei3; Yi, Tao4 | |
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/132A11/86148] |
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. |
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