### 摘要

In this paper, we investigate the joint design of transmit beamforming and power control to maximize the weighted sum rate in the multiple-input single-output (MISO) cognitive radio network constrained by arbitrary power budgets and interference temperatures. The nonnegativity of the physical quantities, e.g., channel parameters, powers, and rates, is exploited to enable key tools in nonnegative matrix theory, such as the (linear and nonlinear) Perron-Frobenius theory, quasi-invertibility, and Friedland-Karlin inequalities, to tackle this nonconvex problem. Under certain (quasi-invertibility) sufficient conditions, we propose a tight convex relaxation technique that relaxes multiple constraints to bound the global optimal value in a systematic way. Then, a single-input multiple-output (SIMO)-MISO duality is established through a virtual dual SIMO network and Lagrange duality. This SIMO-MISO duality proved to have the zero duality gap that connects the optimality conditions of the primal MISO network and the virtual dual SIMO network. Moreover, by exploiting the SIMO-MISO duality, an algorithm is developed to optimally solve the sum rate maximization problem. Numerical examples demonstrate the computational efficiency of our algorithm, when the number of transmit antennas is large.

原文 | 英語 |
---|---|

文章編號 | 6913500 |

頁（從 - 到） | 832-847 |

頁數 | 16 |

期刊 | IEEE Journal on Selected Areas in Communications |

卷 | 33 |

發行號 | 5 |

DOIs | |

出版狀態 | 已發佈 - 2015 五月 1 |

對外發佈 | Yes |

### ASJC Scopus subject areas

- Computer Networks and Communications
- Electrical and Electronic Engineering

## 指紋 深入研究「Beamforming duality and algorithms for weighted sum rate maximization in cognitive radio networks」主題。共同形成了獨特的指紋。

## 引用此

*IEEE Journal on Selected Areas in Communications*,

*33*(5), 832-847. [6913500]. https://doi.org/10.1109/JSAC.2014.2361079