Research Article
When Does Channel-Output Feedback Enlarge the Capacity Region of the Two-User Linear Deterministic Interference Channel?
@INPROCEEDINGS{10.1007/978-3-319-40352-6_39, author={Victor Quintero and Samir Perlaza and I\`{o}aki Esnaola and Jean-Marie Gorce}, title={When Does Channel-Output Feedback Enlarge the Capacity Region of the Two-User Linear Deterministic Interference Channel?}, proceedings={Cognitive Radio Oriented Wireless Networks. 11th International Conference, CROWNCOM 2016, Grenoble, France, May 30 - June 1, 2016, Proceedings}, proceedings_a={CROWNCOM}, year={2016}, month={6}, keywords={Linear deterministic interference channel Noisy channel-output feedback Capacity region}, doi={10.1007/978-3-319-40352-6_39} }- Victor Quintero
Samir Perlaza
Iñaki Esnaola
Jean-Marie Gorce
Year: 2016
When Does Channel-Output Feedback Enlarge the Capacity Region of the Two-User Linear Deterministic Interference Channel?
CROWNCOM
Springer
DOI: 10.1007/978-3-319-40352-6_39
Abstract
The two-user linear deterministic interference channel (LD-IC) with noisy channel-output feedback is fully described by six parameters that correspond to the number of bit-pipes between each transmitter and its corresponding intended receiver, i.e., and ; between each transmitter and its corresponding non-intended receiver i.e., and ; and between each receiver and its corresponding transmitter, i.e., and . An LD-IC without feedback corresponds to the case in which and the capacity region is denoted by . In the case in which feedback is available at both transmitters, and , the capacity is denoted by . This paper presents the exact conditions on (resp. ) for observing an improvement in the capacity region (resp. ) with respect to , for any 4-tuple , , , . Specifically, it is shown that there exists a threshold for the number of bit-pipes in the feedback link of transmitter-receiver pair 1 (resp. 2), denoted by (resp. ) for which any (resp. ) enlarges the capacity region, i.e., (resp. ). The exact conditions on (resp. ) to observe an improvement on a single rate or the sum-rate capacity, for any 4-tuple are also presented in this paper.