Closed-Form Solutions to the Pareto Boundary and Distributed Beamforming Strategy for the Two-User MISO Interference Channel

  • Authors:

  • Jiamin Li;Dongming Wang;Pengcheng Zhu;Lan Tang;Xiaohu You

  • Affiliations:

  • National Mobile Communications Research Lab., Southeast University, Nanjing, China 210096;National Mobile Communications Research Lab., Southeast University, Nanjing, China 210096;National Mobile Communications Research Lab., Southeast University, Nanjing, China 210096;School of Electronic Science and Engineering, Nanjing University, Nanjing, China 210096;National Mobile Communications Research Lab., Southeast University, Nanjing, China 210096

  • Venue:
  • Wireless Personal Communications: An International Journal
  • Year:
  • 2013

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Abstract

The outer boundary of the achievable rate region for multiple-input single-output (MISO) interference channel (IC) is Pareto boundary, and all points on the Pareto boundary can be obtained by solving weighted sum rate maximization problem. Unfortunately, since the optimization problem is non-convex, it is generally very difficult to obtain the solutions without performing an exhaustive search. In this paper, the achievable rate region of the two-user MISO IC is considered. Firstly, by minimizing the interference power leaked to the other receiver for fixed useful signal power received at the intended receiver, the non-convex optimization problem is converted into a family of convex optimization problems. Secondly, after some conversions, the closed-form solutions to all Pareto optimal points are derived using the Lagrange duality theory, and the only computation involved is to solve a basic quadratic equation. Then, the antenna reduction is performed to further simplify the process of derivation. In order to avoid the exchange of channel state information (CSI) between base stations, a distributed iterative beamforming strategy which can achieve a approximate Pareto optimal outcome with only a few iterations is also proposed. Finally, the results are validated via numerical simulations.