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This paper focuses on the capacity of peer-to-peer relay communications wherein the transmitter are assisted by an arbitrary number of parallel relays, i.e. there is no link and cooperation between the relays themselves. We detail the…

Information Theory · Computer Science 2014-04-08 Farshad Shams , Marco Luise

In a wireless network with a single source and a single destination and an arbitrary number of relay nodes, what is the maximum rate of information flow achievable? We make progress on this long standing problem through a two-step approach.…

Information Theory · Computer Science 2016-11-18 Salman Avestimehr , Suhas Diggavi , David Tse

This paper focuses on the capacity of point-to-point relay communications wherein the transmitter is assisted by an intermediate relay. We detail the mathematical model of cutset and amplify and forward (AF) relaying strategy. We present…

Information Theory · Computer Science 2013-01-15 Farshad Shams , Marco Luise

The capacity of a class of deterministic relay channels with the transmitter input X, the receiver output Y, the relay output Y_1 = f(X, Y), and a separate communication link from the relay to the receiver with capacity R_0, is shown to be…

Information Theory · Computer Science 2016-11-18 Thomas M. Cover , Young-Han Kim

This paper studies networks with N half-duplex relays assisting the communication between a source and a destination. In ISIT'12 Brahma, \"{O}zg\"{u}r and Fragouli conjectured that in Gaussian half-duplex diamond networks (i.e., without a…

Information Theory · Computer Science 2016-11-17 Martina Cardone , Daniela Tuninetti , Raymond Knopp

We investigate robust linear consensus over networks under capacity-constrained communication. The capacity of each edge is encoded as an upper bound on the number of state variables that can be communicated instantaneously. When the edge…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Yasin Yazicioglu , Alberto Speranzon

We use information theoretic achievable rate formulas for the multi-relay channel to study the problem of optimal placement of relay nodes along the straight line joining a source node and a sink node. The achievable rate formulas that we…

Networking and Internet Architecture · Computer Science 2015-03-20 Arpan Chattopadhyay , Abhishek Sinha , Marceau Coupechoux , Anurag Kumar

We develop a new upper bound on the capacity of the relay channel that is tighter than previously known upper bounds. This upper bound is proved using traditional weak converse techniques involving mutual information inequalities and…

Information Theory · Computer Science 2022-04-01 Abbas El Gamal , Amin Gohari , Chandra Nair

The Gaussian parallel relay network, in which two parallel relays assist a source to convey information to a destination, was introduced by Schein and Gallager. An upper bound on the capacity can be obtained by considering broadcast cut…

Information Theory · Computer Science 2016-04-13 Satyajit Thakor , Syed Abbas

We consider systems in which the transmitter conveys messages to the receiver through a capacity-limited relay station. The channel between the transmitter and the relay-station is assumed to be a frequency selective additive Gaussian noise…

Information Theory · Computer Science 2018-01-08 Adi Homri , Michael Peleg , Shlomo Shamai

In this paper, we derive the capacity of a special class of mesh networks. A mesh network is defined as a heterogeneous wireless network in which the transmission among power limited nodes is assisted by powerful relays, which use the same…

Information Theory · Computer Science 2010-04-15 Lawrence Ong , Mehul Motani

In this paper, a class of relay networks is considered. We assume that, at a node, outgoing channels to its neighbors are orthogonal, while incoming signals from neighbors can interfere with each other. We are interested in the multicast…

Information Theory · Computer Science 2016-11-17 Wooseok Nam , Sae-Young Chung , Yong H. Lee

In this paper, we show that the capacity of the three-node Gaussian relay channel can be achieved to within 1 and 2 bit/sec/Hz using compress-and-forward and amplify-and-forward relaying, respectively.

Information Theory · Computer Science 2010-11-24 Woohyuk Chang , Sae-Young Chung , Yong H. Lee

In this paper, we consider full-duplex and half-duplex Gaussian relay channels where the noises at the relay and destination are arbitrarily correlated. We first derive the capacity upper bound and the achievable rates with three existing…

Information Theory · Computer Science 2016-11-17 Lili Zhang , Jinhua Jiang , Andrea J. Goldsmith , Shuguang Cui

In this paper, the Gaussian relay channel with linear time-invariant relay filtering is considered. Based on spectral theory for stationary processes, the maximum achievable rate for this subclass of linear Gaussian relay operation is…

Information Theory · Computer Science 2011-09-27 Youngchul Sung , Cheulsoon Kim

This paper explores the {\it network simplification} problem in the context of Gaussian Half-Duplex (HD) diamond networks. Specifically, given an $N$-relay diamond network, this problem seeks to derive fundamental guarantees on the capacity…

Information Theory · Computer Science 2017-07-11 Martina Cardone , Yahya H. Ezzeldin , Christina Fragouli , Daniela Tuninetti

We consider a system with a single base station communicating with multiple users over orthogonal channels while being assisted by multiple relays. Several recent works have suggested that, in such a scenario, selection, i.e., a single…

Information Theory · Computer Science 2009-03-16 Sachin Kadloor , Raviraj Adve

The capacity of a class of Interference Relay Channels (IRC) -the Injective Semideterministic IRC where the relay can only observe one of the sources- is investigated. We first derive a novel outer bound and two inner bounds which are based…

Information Theory · Computer Science 2016-09-28 Germán Bassi , Pablo Piantanida , Sheng Yang

We study the capacity region of a deterministic 4-node network, where 3 nodes can only communicate via the fourth one. However, the fourth node is not merely a relay since it can exchange private messages with all other nodes. This…

Information Theory · Computer Science 2013-08-09 Ahmed A. Zewail , Y. Mohasseb , M. Nafie , H. EL Gamal

This paper revisits the Gaussian degraded relay channel, where the link that carries information from the source to the destination is a physically degraded version of the link that carries information from the source to the relay. The…

Information Theory · Computer Science 2016-10-19 Silas L. Fong , Vincent Y. F. Tan