  An achievable rate region for the Gaussian interference channel is derived
using Sato's modified frequency division multiplexing idea and a special case
of Han and Kobayashi's rate region (denoted by $\Gmat^\prime$). We show that
the new inner bound includes $\Gmat^\prime$, Sason's rate region $\Dmat$, as
well as the achievable region via TDM/FDM, as its subsets. The advantage of
this improved inner bound over $\Gmat^\prime$ arises due to its inherent
ability to utilize the whole transmit power range on the real line without
violating the power constraint. We also provide analysis to examine the
conditions for the new achievable region to strictly extend $\Gmat^\prime$.
