时间反演系统中基于Barzilai-Borwein的共轭梯度检测算法

Conjugate gradient detection algorithm based on Barzilai-Borwein in time reversal system

针对时间反演多址系统中信道的相关性会导致多用户干扰的问题,以降低用户间干扰和算法复杂度为目标,提出基于Barzilai-Borwein的共轭梯度迭代检测算法。首先通过共轭梯度迭代两次找到最速下降方向,然后通过Barzilai-Borwein沿着共轭梯度搜索的方向继续迭代。仿真表明,所提算法收敛速度快于Barzilai-Borwein和共轭梯度算法,且复杂度低于共轭梯度算法和最小均方误差(minimum mean square error,MMSE)算法,保持在O(N2)。

Aiming at the problem of multi-user interference caused by channel correlation in the time inversion multiple-access system,in order to reduce the inter-user interference and the algorithm complexity,a conjugate gradient iterative detection algorithm based on Barzilai-Borwein is proposed.Firstly,the fastest descent direction is found by two iterations of conjugate gradient.And then,the iteration is continued by Barzilai-Borwein along the direction of conjugate gradient search.Simulation results show that the convergence speed of the proposed algorithm is faster than that of Barzilai-Borwein and conjugate gradient algorithm,and the complexity is lower than that of the conjugate gradient algorithm and the minimum mean square error(MMSE)algorithm,which is maintained at O(N 2).