Genie Chains: Exploring Outer Bounds on the Degrees of Freedom of MIMO Interference Networks

In this paper, we propose a novel "genie chains" approach to obtain information theoretic degrees of freedom (DoF) outer bounds for MIMO wireless interference networks. This new approach creates a chain of mappings from genie signals provided to a receiver to the exposed signal spaces at t...

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Bibliographic Details
Published inIEEE transactions on information theory Vol. 62; no. 10; pp. 5573 - 5602
Main Authors Chenwei Wang, Hua Sun, Jafar, Syed Ali
Format Journal Article
LanguageEnglish
Published New York IEEE 01.10.2016
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Capacity
degrees of freedom (DoF)
Electric noise
Indexes
Information theory
Interference channels
interference networks
Linear algebra
Mapping
MIMO
Network flow problem
outer bounds
Precoding
Receivers
Signal processing
Wireless communication
Wireless networks
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ISSN0018-9448
1557-9654
DOI10.1109/TIT.2016.2599515

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Summary:In this paper, we propose a novel "genie chains" approach to obtain information theoretic degrees of freedom (DoF) outer bounds for MIMO wireless interference networks. This new approach creates a chain of mappings from genie signals provided to a receiver to the exposed signal spaces at that receiver, and then the exposed signal spaces serve as the genie signals for the next receiver in the chain subject to certain linear independence requirements. Our approach essentially converts an information theoretic DoF outer bound problem into a linear algebra problem. Several applications of the genie chains approach are presented.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2016.2599515