Abstract:
For vector adder channel, we present an upper bound on the capacity, which coincides with the lower bound given in [1]. Thus, we prove optimality of the uniform probability distribution of symbols for $\gamma\in(0,\gamma^*]$ and of the twisted distribution for $\gamma\in(\gamma^*,\infty)$, where $\gamma$ is the ratio of the number of users to the number of subchannels and $\gamma^*=1.3382$.