A Learning-Aided Flexible Gradient Descent Approach to MISO Beamforming

• Published in: IEEE wireless communications letters Vol. 11; no. 9; pp. 1895 - 1899
• Main Authors: Yang, Zhixiong, Xia, Jing-Yuan, Luo, Junshan, Zhang, Shuanghui, Gunduz, Deniz
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.09.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Array signal processing; Beamforming; Computational complexity; Heuristic algorithms; implicit gradient descent; Iterative methods; Iterative solution; Machine learning; Multi-user MISO downlink; Neural networks; Optimization; Signal processing; Signal to noise ratio; Training; unsupervised learning
• ISSN: 2162-2337; 2162-2345; 2162-2345
• DOI: 10.1109/LWC.2022.3186160

This letter proposes a learning aided gradient descent (LAGD) algorithm to solve the weighted sum rate (WSR) maximization problem for multiple-input single-output (MISO) beamforming. The proposed LAGD algorithm directly optimizes the transmit precoder through implicit gradient descent based iterations, at each of which the optimization strategy is determined by a neural network, and thus, is dynamic and adaptive. At each instance of the problem, this network is initialized randomly, and updated throughout the iterative solution process. Therefore, the LAGD algorithm can be implemented at any signal-to-noise ratio (SNR) and for arbitrary antenna/user numbers, does not require labelled data or training prior to deployment. Numerical results show that the LAGD algorithm can outperform of the well-known WMMSE algorithm as well as other learning-based solutions with a modest computational complexity. Our code is available at https://github.com/XiaGroup/LAGD .