Interference-leakage based non-cooperative beamforming with low-dimensional approximation

In this study, the authors have studied downlink multiuser non-cooperative beamforming in a time-division duplexing-based multicell system with a non-linear Jacobi-like iterative algorithm, where each base station is to minimise the interference leakage to adjacent cells in forming beams with signal-to-interference-plus-noise ratio constraints for users in its cell. The resulting approach is referred to as altruistic non-cooperative beamforming (ANB). To reduce the computational complexity for ANB per cell, a low-dimensional beamforming approach, which can be easily solved as it has a standard downlink multiuser beamforming formulation, has also been considered at the expense of degraded performance.