In this paper, we propose an algorithm to optimize beamforming for different types of desired behaviors in a wireless communication system. The algorithm is designed to work with various architectures and can be directly applied to several existing ones.
Let’s break it down
Beamforming is a technique used in wireless communication systems to improve the signal quality by directionally transmitting signals towards the intended receiver(s). There are different types of desired behaviors that beamforming can achieve, such as beam-behavior 1 and beam-behavior 2. These behaviors refer to how the beam is steered towards the receiver(s) depending on the angle of arrival.
To optimize beamforming for these behaviors, we use an iterative optimization process that adjusts the phase and amplitude of the signals transmitted by each antenna in the system. The algorithm starts with an initial guess for the phase and amplitude of each signal and then iteratively optimizes them until the desired behavior is achieved.
Think of it like a compass
Imagine you are trying to find your way through a dense forest using only a compass. You start by orienting the compass towards the North Star (τ) and then adjusting the angle of arrival of the beam based on the direction you want to go (α). Just like how the algorithm optimizes τ and α, the compass helps you find the correct direction to head towards your destination.
The optimization process involves computing the magnitude of the signal (|α|) and then adjusting the phase and amplitude of each signal accordingly. This is done by defining a function fmax and fmin based on the angle of arrival and the maximum TTD delay required for realizing the desired behavior.
Now, let’s put it all together
The algorithm starts with an initial guess for τ and α, then iteratively optimizes them until the desired behavior is achieved. The optimization process involves computing the magnitude of the signal (|α|) and adjusting the phase and amplitude of each signal based on fmax and fmin. This is done in an iterative manner until the desired behavior is reached, at which point the algorithm stops.
In summary, this paper proposes an algorithm to optimize beamforming for different types of desired behaviors in a wireless communication system. The algorithm starts with an initial guess for τ and α and then iteratively optimizes them until the desired behavior is achieved using an iterative optimization process. By defining fmax and fmin based on the angle of arrival and maximum TTD delay, the algorithm can achieve different types of beam behaviors depending on the system architecture and requirements.
