  This paper studies the low-SNR regime performance of a scalar complex K -user
interference channel with Gaussian noise. The finite bandwidth case is
considered, where the low-SNR regime is approached by letting the input power
go to zero while bandwidth is small and fixed. We show that for all \delta>0
there exists a set with non-zero measure (probability) in which the wideband
slope per user satisfies Slope<2/K+\delta . This is quite contrary to the large
bandwidth case [ShenAHM11IT], where a slope of 1 per user is achievable with
probability 1. We also develop an interference alignment scheme for the finite
bandwidth case that shows some gain.
