Stiefel流形上的单边干扰对齐预编码

One-sided Interference Alignment Precoding on the Stiefel Manifold

干扰对齐通过在接收端重叠干扰能有效的提升干扰信道的容量。单边干扰对齐是指仅仅只有发射端参与的干扰对齐技术,它不需要接收端的参与,与双边干扰对齐技术相比单边干扰对齐技术可以大大的减小反馈量。本文在干扰子空间弦距离最小化的单边干扰对齐预编码算法方案的基础上,提出将预编码矩阵建模于Stiefel流形之上,这样就能够将有约束的最优化问题转化为无约束的最优化问题进行求解。仿真结果表明,将预编码矩阵在Stiefel流形上建模求解与普通的最优化方法相比有更快的收敛速度和更高的和速率。

Interference alignment （IA） can effectively improves the capacity of interference channel by overlapping the in- terference at the receivers. One-side interference alignment involves only the transmitter, it does not require the receiver to participate, compared with the previous interference alignment the one-side interference alignment can greatly reduce the a- mount of feedback. This paper is based on the one-side interference alignment precoding algorithm for minimizing the inter- ference subspace chordal distance. We provide to build the preeoding matrix on the Stiefel manifold and make the constraint optimization problem be transformed into uneonstraint optimization problem. The simulation result shows that the precoding matrix build on the Stiefel manifold compared with the conventional optimization algorithm have the faster convergence rate and higher sum rate.