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The Wideband Slope of Interference Channels: The Small Bandwidth Case.
- Source :
- IEEE Transactions on Information Theory; Nov2019, Vol. 65 Issue 11, p7287-7303, 17p
- Publication Year :
- 2019
-
Abstract
- This paper studies the low-SNR regime performance of a scalar complex $K$ -user interference channel with the Gaussian noise. The finite bandwidth case is considered, where the low-SNR regime is approached by letting the input power go to zero, while the bandwidth is small and fixed. We show that for all $\delta >0$ , there exists a set of channel coefficients with non-zero measure (probability), in which the wideband slope per user satisfies $ \mathcal {S}_{0}< {\scriptstyle {}^{\scriptstyle 2}}\hspace{-0.224em}/\hspace{-0.112em}{\scriptstyle K}+\delta $. This is quite contrary to the large bandwidth case, 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 in wideband slope. [ABSTRACT FROM AUTHOR]
- Subjects :
- BANDWIDTHS
GAUSSIAN channels
RANDOM noise theory
MULTIUSER channels
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 65
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 139229556
- Full Text :
- https://doi.org/10.1109/TIT.2019.2927483