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Reminiscent of the parity function in network coding for the butterfly network, it is shown that forwarding an even/odd indicator bit for a scalar quantization of a relay observation recovers 1 bit of information at the two destinations in…

信息论 · 计算机科学 2010-09-10 Peyman Razaghi , Giuseppe Caire

We consider the Gaussian N-relay diamond network, where a source wants to communicate to a destination node through a layer of N-relay nodes. We investigate the following question: what fraction of the capacity can we maintain by using only…

信息论 · 计算机科学 2012-11-16 Caner Nazaroglu , Ayfer Ozgur , Christina Fragouli

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…

信息论 · 计算机科学 2016-09-28 Germán Bassi , Pablo Piantanida , Sheng Yang

Capacities on a finite set are sets functions vanishing on the empty set and being monotonic w.r.t. inclusion. Since the set of capacities is an order polytope, the problem of randomly generating capacities amounts to generating all linear…

离散数学 · 计算机科学 2022-06-13 Michel Grabisch , Christophe Labreuche , Peiqi Sun

We suggest that a certain one-to-one parametrization of completely positive maps on the matrix algebra might be useful in the study of quantum channels. This is illustrated in the case of binary quantum channels. While the algorithm is…

算子代数 · 数学 2007-05-23 T. Constantinescu

A cache-aided $K$-user Gaussian broadcast channel (BC) is considered. The transmitter has a library of $N$ equal-rate files, from which each user demands one. The impact of the equal-capacity receiver cache memories on the minimum required…

信息论 · 计算机科学 2018-05-01 Mohammad Mohammadi Amiri , Deniz Gunduz

This paper investigates the additive white Gaussian noise two-way relay channel, where two users exchange messages through a relay. Asymmetrical channels are considered where the users can transmit data at different rates and at different…

信息论 · 计算机科学 2011-10-26 Lawrence Ong , Christopher M. Kellett , Sarah J. Johnson

A standard assumption in the design of ultra-reliable low-latency communication systems is that the duration between message arrivals is larger than the number of channel uses before the decoding deadline. Nevertheless, this assumption…

信息论 · 计算机科学 2025-01-31 Homa Nikbakht , Malcolm Egan , Jean-Marie Gorce , H. Vincent Poor

We study the properties of quantum stabilizer codes that embed a finite-dimensional protected code space in an infinite-dimensional Hilbert space. The stabilizer group of such a code is associated with a symplectically integral lattice in…

量子物理 · 物理学 2008-02-19 Jim Harrington , John Preskill

We study the extent to which wide neural networks may be approximated by Gaussian processes when initialized with random weights. It is a well-established fact that as the width of a network goes to infinity, its law converges to that of a…

概率论 · 数学 2021-02-18 Ronen Eldan , Dan Mikulincer , Tselil Schramm

In this paper, we study the capacity regions of two-way diamond channels. We show that for a linear deterministic model the capacity of the diamond channel in each direction can be simultaneously achieved for all values of channel…

信息论 · 计算机科学 2017-08-04 Mehdi Ashraphijuo , Vaneet Aggarwal , Xiaodong Wang

In this paper, we propose a new coding scheme for the general relay channel. This coding scheme is in the form of a block Markov code. The transmitter uses a superposition Markov code. The relay compresses the received signal and maps the…

信息论 · 计算机科学 2007-10-05 Wei Kang , Sennur Ulukus

This work focuses on the half-duplex (HD) relaying based on the generalized quantize-and-forward (GQF) scheme in the slow fading Multiple Access Relay Channel (MARC) where the relay has no channel state information (CSI) of the…

信息论 · 计算机科学 2014-06-23 Ming Lei , Mohammad Reza Soleymani

This paper studies incremental relay strategies for a two-user Gaussian relay-interference channel with an in-band-reception and out-of-band-transmission relay, where the link between the relay and the two receivers is modelled as a…

信息论 · 计算机科学 2012-12-13 Lei Zhou , Wei Yu

Motivated by the design of low-complexity low-power coding solutions for the Gaussian relay channel, this work presents an upper bound on the minimum energy-per-bit achievable on the Gaussian relay channel using rank-1 linear relaying. Our…

信息论 · 计算机科学 2024-01-30 Oliver Kosut , Michelle Effros , Michael Langberg

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…

信息论 · 计算机科学 2022-04-01 Abbas El Gamal , Amin Gohari , Chandra Nair

We consider an arbitrary layered Gaussian relay network with $L$ layers of $N$ relays each, from which we select subnetworks with $K$ relays per layer. We prove that: (i) For arbitrary $L, N$ and $K = 1$, there always exists a subnetwork…

信息论 · 计算机科学 2018-10-16 Yahya H. Ezzeldin , Ayan Sengupta , Christina Fragouli

Optimization methods aimed at estimating the capacities of a general Gaussian channel are developed. Specifically evaluation of classical capacity as maximum of the Holevo information is pursued over all possible Gaussian encodings for the…

量子物理 · 物理学 2012-09-12 Oleg V. Pilyavets , Cosmo Lupo , Stefano Mancini

We consider two-way relaying in a Gaussian diamond channel, where two terminal nodes wish to exchange information using two relays. A simple baseline protocol is obtained by time-sharing between two one-way protocols. To improve upon the…

信息论 · 计算机科学 2013-10-07 Prathyusha V , Srikrishna Bhashyam , Andrew Thangaraj

The problem of multicasting multiple messages with the help of a relay, which may also have an independent message of its own to multicast, is considered. As a first step to address this general model, referred to as the compound multiple…

信息论 · 计算机科学 2016-11-17 D. Gunduz , O. Simeone , A. Goldsmith , H. V. Poor , S. Shamai