Blahut-Arimoto Algorithm for Computing Capacity Region of Gaussian Vector Broadcast Channels
Tian Jiao, Yanlin Geng, Zai Yang · 2024
We design an algorithm from the perspective of information theory to calculate the capacity region of the Gaussian vector broadcast channel with private messages. For a continuous channel, a common method to approximately calculate its capacity is to apply the Blahut-Arimoto algorithm after discretization. In this work, we derive an equivalent form of the objective function and decouple the coupled variables in the original problem by exploiting the property that a Gaussian distribution is uniquely determined by its mean and variance. And thus develop a Gaussian Blahut-Arimoto algorithm without discretization.