A Hybrid Beamforming Algorithm Based on Limited-Broyden-Fletcher-Goldfarb-Shanno
To solve the problems of long runtime,low spectral rate and high bit error rate,which exist in conventional hybrid beamforming schemes,a hybrid beamforming algorithm based on Limited-Broyden-Fletcher-Goldfarb-Shanno(LBFGS)is proposed.Firstly,a single variable objective function is constructed through the least squares solution of the digital precoder.Then,the gradient of the objective function is used to approximate the inverse of the Hessian matrix for obtaining the search direction and the analog precoder is updated along the search direction until the stop condition is satisfied.Finally,the analog precoder is fixed to obtain the digital precoder.The MATLAB simulation analysis indicate that LBFGS algorithm reduces the running time by 28%,increases spectral rate by 1.05%,and reduces bit error rate by 1.06%,compared to MO algorithm.