Pareto Boundary of the Rate Region for Single-Stream MIMO Interference Channels: Linear Transceiver Design

摘要

We consider a multiple-input multiple-output (MIMO) interference channel(IC), where a single data stream per user is transmitted and each receivertreats interference as noise. The paper focuses on the open problem ofcomputing the outermost boundary (so-called Pareto boundary-PB) of theachievable rate region under linear transceiver design. The Pareto boundaryconsists of the strict PB and non-strict PB. For the two user case, we computethe non-strict PB and the two ending points of the strict PB exactly. For thestrict PB, we formulate the problem to maximize one rate while the other rateis fixed such that a strict PB point is reached. To solve this non-convexoptimization problem which results from the hard-coupled two transmitbeamformers, we propose an alternating optimization algorithm. Furthermore, weextend the algorithm to the multi-user scenario and show convergence. Numericalsimulations illustrate that the proposed algorithm computes a sequence ofwell-distributed operating points that serve as a reasonable and complete innerbound of the strict PB compared with existing methods.