Beamforming Duality and Algorithms for Weighted Sum Rate Maximization in Cognitive Radio Networks

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

16 Scopus Citations
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Author(s)

  • I-Wei Lai
  • Liang Zheng
  • Chia-Han Lee
  • Chee Wei Tan

Detail(s)

Original languageEnglish
Pages (from-to)832-847
Journal / PublicationIEEE Journal on Selected Areas in Communications
Volume33
Issue number5
Online published30 Sep 2014
Publication statusPublished - May 2015

Abstract

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.

Research Area(s)

  • cognitive radio network, convex relaxation, Karush- Kuhn-Tucker conditions, nonnegative matrix theory, Optimization, Perron-Frobenius theorem, quasi-invertibility

Citation Format(s)

Beamforming Duality and Algorithms for Weighted Sum Rate Maximization in Cognitive Radio Networks. / Lai, I-Wei; Zheng, Liang; Lee, Chia-Han et al.

In: IEEE Journal on Selected Areas in Communications, Vol. 33, No. 5, 05.2015, p. 832-847.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review