Optimal Multiuser Transmit Beamforming: A Difficult Problem with a Simple Solution Structure [Lecture Notes]

By Emil Björnson, Mats Bengtsson, Björn E. Ottersten. IEEE Signal Processing Magazine, 2014

586 citations recorded by the source corpus.

Transmit beamforming is a versatile technique for signal transmission from an array of antennas to one or multiple users [1]. In wireless communications, the goal is to increase the signal power at the intended user and reduce interference to nonintended users. A high signal power is achieved by transmitting the same data signal from all antennas but with different amplitudes and phases, such that the signal components add coherently at the user. Low interference is accomplished by making the signal components add destructively at nonintended users. This corresponds mathematically to designing beamforming vectors (that describe the amplitudes and phases) to have large inner products with the vectors describing the intended channels and small inner products with nonintended user channels.

Subfields: Aerospace Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/4b0a59843cb7967cb8b9e471467d789449321a1d

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Citations in the corpus

Massive MIMO Has Unlimited Capacity (2017, methodology): “As the impact of Zj vanishes, the approach in [28] can be used to prove that M-MMSE approaches M-ZF asymptotically.”
Quantized Precoding for Massive MU-MIMO (2016, background): “Using (13), we can express the received signal y u at UE u as follows: Here, the error term e u = v (cid:54) = u h Tu Gp v s v + h Tu d captures both the MUI and the distortion caused by the ﬁnite-resolution DACs.”
Multi-Hop RIS-Empowered Terahertz Communications: A DRL-Based Hybrid Beamforming Design (2021, background): “In [69], it is shown that, for the k user, the optimal transmit beamforming vector solving (31) is given by”
A Tutorial on Extremely Large-Scale MIMO for 6G: Fundamentals, Signal Processing, and Applications (2023, background): “However, in the far-field, the array response vector is only determined by the AoA/AoD rather than the distance.”
Graph Neural Networks for Scalable Radio Resource Management: Architecture Design and Theoretical Analysis (2020, background): “, power control [2] and beamforming [3], plays a crucial role in wireless networks.”