Cognition and Cooperation in Interfered Multiple Access Channels

In this work, we investigate a three-user cognitive communication network where a primary two-user multiple access channel suffers interference from a secondary point-to-point channel, sharing the same medium. While the point-to-point channel transmitter—transmitter 3—causes an interference at the p...

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Main Authors: Jonathan Shimonovich, Anelia Somekh-Baruch, Shlomo Shamai (Shitz)
Format: Article
Language:English
Published: MDPI AG 2017-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/19/7/378
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author Jonathan Shimonovich
Anelia Somekh-Baruch
Shlomo Shamai (Shitz)
author_facet Jonathan Shimonovich
Anelia Somekh-Baruch
Shlomo Shamai (Shitz)
author_sort Jonathan Shimonovich
collection DOAJ
description In this work, we investigate a three-user cognitive communication network where a primary two-user multiple access channel suffers interference from a secondary point-to-point channel, sharing the same medium. While the point-to-point channel transmitter—transmitter 3—causes an interference at the primary multiple access channel receiver, we assume that the primary channel transmitters—transmitters 1 and 2—do not cause any interference at the point-to-point receiver. It is assumed that one of the multiple access channel transmitters has cognitive capabilities and cribs causally from the other multiple access channel transmitter. Furthermore, we assume that the cognitive transmitter knows the message of transmitter 3 in a non-causal manner, thus introducing the three-user multiple access cognitive Z-interference channel. We obtain inner and outer bounds on the capacity region of the this channel for both causal and strictly causal cribbing cognitive encoders. We further investigate different variations and aspects of the channel, referring to some previously studied cases. Attempting to better characterize the capacity region we look at the vertex points of the capacity region where each one of the transmitters tries to achieve its maximal rate. Moreover, we find the capacity region of a special case of a certain kind of more-capable multiple access cognitive Z-interference channels. In addition, we study the case of full unidirectional cooperation between the 2 multiple access channel encoders. Finally, since direct cribbing allows us full cognition in the case of continuous input alphabets, we study the case of partial cribbing, i.e., when the cribbing is performed via a deterministic function.
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spelling doaj.art-7ac2f7069f9441338d66ea91a998b8d92022-12-22T04:22:33ZengMDPI AGEntropy1099-43002017-07-0119737810.3390/e19070378e19070378Cognition and Cooperation in Interfered Multiple Access ChannelsJonathan Shimonovich0Anelia Somekh-Baruch1Shlomo Shamai (Shitz)2Check Point Software Technologies Ltd., Tel Aviv 67897, IsraelFaculty of Engineering, Bar-Ilan University, Ramat-Gan 52900, IsraelElectrical Engineering Department, Technion, Haifa 32000, IsraelIn this work, we investigate a three-user cognitive communication network where a primary two-user multiple access channel suffers interference from a secondary point-to-point channel, sharing the same medium. While the point-to-point channel transmitter—transmitter 3—causes an interference at the primary multiple access channel receiver, we assume that the primary channel transmitters—transmitters 1 and 2—do not cause any interference at the point-to-point receiver. It is assumed that one of the multiple access channel transmitters has cognitive capabilities and cribs causally from the other multiple access channel transmitter. Furthermore, we assume that the cognitive transmitter knows the message of transmitter 3 in a non-causal manner, thus introducing the three-user multiple access cognitive Z-interference channel. We obtain inner and outer bounds on the capacity region of the this channel for both causal and strictly causal cribbing cognitive encoders. We further investigate different variations and aspects of the channel, referring to some previously studied cases. Attempting to better characterize the capacity region we look at the vertex points of the capacity region where each one of the transmitters tries to achieve its maximal rate. Moreover, we find the capacity region of a special case of a certain kind of more-capable multiple access cognitive Z-interference channels. In addition, we study the case of full unidirectional cooperation between the 2 multiple access channel encoders. Finally, since direct cribbing allows us full cognition in the case of continuous input alphabets, we study the case of partial cribbing, i.e., when the cribbing is performed via a deterministic function.https://www.mdpi.com/1099-4300/19/7/378cognitive radiomultiple access channelinterference channelcapacity regioncognitioncribbingcooperative communication
spellingShingle Jonathan Shimonovich
Anelia Somekh-Baruch
Shlomo Shamai (Shitz)
Cognition and Cooperation in Interfered Multiple Access Channels
Entropy
cognitive radio
multiple access channel
interference channel
capacity region
cognition
cribbing
cooperative communication
title Cognition and Cooperation in Interfered Multiple Access Channels
title_full Cognition and Cooperation in Interfered Multiple Access Channels
title_fullStr Cognition and Cooperation in Interfered Multiple Access Channels
title_full_unstemmed Cognition and Cooperation in Interfered Multiple Access Channels
title_short Cognition and Cooperation in Interfered Multiple Access Channels
title_sort cognition and cooperation in interfered multiple access channels
topic cognitive radio
multiple access channel
interference channel
capacity region
cognition
cribbing
cooperative communication
url https://www.mdpi.com/1099-4300/19/7/378
work_keys_str_mv AT jonathanshimonovich cognitionandcooperationininterferedmultipleaccesschannels
AT aneliasomekhbaruch cognitionandcooperationininterferedmultipleaccesschannels
AT shlomoshamaishitz cognitionandcooperationininterferedmultipleaccesschannels