Information Dimension and the Degrees of Freedom of the Interference Channel

Author

Yihong Wu ; Shitz, Shlomo Shamai ; Verdu, Sergio

Author_Institution

Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA

Volume

61

Issue

1

fYear

2015

fDate

Jan. 2015

Firstpage

256

Lastpage

279

Abstract

The degrees of freedom (DoFs) of the K -user Gaussian interference channel determine the asymptotic growth of the maximal sum rate as a function of the signal-to-noise ratio. Subject to a very general sufficient condition on the cross-channel gains, we give a formula for the DoFs of the scalar interference channel as a function of the deterministic channel matrix, which involves maximization of a sum of information dimensions over K scalar input distributions. Known special cases are recovered, and even generalized in certain cases with unified proofs.

Keywords

Gaussian channels; interference; matrix algebra; optimisation; K scalar input distributions; K-user Gaussian interference channel degrees-of-freedom; asymptotic maximal sum rate growth; cross-channel gains; deterministic channel matrix; information dimension; signal-to-noise ratio function; Entropy; Integrated circuits; Interference channels; Mutual information; Random variables; Signal to noise ratio; Zinc; Multiuser information theory; Shannon theory; degrees of freedom; high-SNR channels; high-SNR channels.; information dimension; interference channel; sumset entropy inequalities;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2014.2366238

Filename

6940298