Recently, Etkin, Tse, and Wang found the capacity region of the two-user Gaussian interference channel to within one bit/s/Hz. A natural goal is to apply this approach to the Gaussian interference channel with an arbitrary number of users. We make progress towards this goal by finding the capacity region of the many-to-one and oneto-many Gaussian interference channels to within a constant number of bits. The result makes use of a deterministic model to provide insight into the Gaussian channel. The deterministic model makes explicit the dimension of signal scale. A central theme emerges: the use of lattice codes for alignment of interfering signals on the signal scale.
Bresler et al. demonstrated that alignment can be achieved on the signal scale using lattice codes and employed this strategy to approximate the capacity of the many-to-one (and one-to-many) interference channel to within a constant number of bits REF .
The Approximate Capacity of the Many-to-One and One-to-Many Gaussian Interference Channels
ArXiv
ArXiv
Computer Science Mathematics