Hybrid Genetic Algorithm for Joint Precoding and Transmit Antenna Selection in Multiuser MIMO Systems with Limited Feedback

To alleviate the interference while lowering the hardware cost such as the RF chains associated with antennas in the downlink of multiuser multi-input multi-output (MIMO) systems with limited feedback, this paper presents a simple, yet effective approach for joint precoding and transmit antenna selection with the assistance of the genetic algorithm (GA). To overcome the enormous amount of search called for, a novel variant of the conventional GA is addressed, where each chromosome consists of a bit string for the precoding vector selection and an integer string for the transmit antenna selection. A new crossover operation and a new mutation operation are also considered for the new chromosome. Conducted simulations show that the new approach yields close performance as the exhaustive search approach but with substantially reduced computational complexity.