Power Control by GDoF Duality of Treating Interference as Noise

In this work, we revisit the duality of treating interference as noise (TIN) from the generalized degrees-of-freedom (GDoF) perspective. Specifically, in a general K-user interference channel where interference is treated as Gaussian noise, we demonstrate, for any given GDoF tuple and its power allocation, how to derive a power allocation that yields a dominant GDoF tuple in its reciprocal channel. This finding naturally leads to a fast iterative GDoF-duality-based power control algorithm. Numerical results show that the proposed algorithm achieves competitive sum-rate performance with sophisticated SINR-based power control scheme.