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We study compressive sensing with a deep generative network prior. Initial theoretical guarantees for efficient recovery from compressed linear measurements have been developed for signals in the range of a ReLU network with Gaussian…

Signal Processing · Electrical Eng. & Systems 2022-05-24 Jorio Cocola

We consider a relay network with two relays and a feedback link from the receiver to the sender. To obtain the achievability result, we use compress-and-forward and random binning techniques combined with deterministic binning and…

Information Theory · Computer Science 2011-09-08 Mohammad Ali Tebbi , Mahtab Mirmohseni , Mahmoud Ahmadian Attari , Mohammad Reza Aref

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

A multi-way communication network with three nodes and a relay is considered. The three nodes in this so-called Y-channel, communicate with each other in a bi-directional manner via the relay. Studying this setup is important due to its…

Information Theory · Computer Science 2012-07-03 Anas Chaaban , Aydin Sezgin

The capacity of a class of multi-way relay channels, where L users communicate via a relay (at possibly different rates), is derived for the case where the channel outputs are modular sums of the channel inputs and the receiver noise. The…

Information Theory · Computer Science 2011-11-16 Lawrence Ong , Sarah J. Johnson , Christopher M. Kellett

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

The goal of this paper is two-fold. First, to establish a tractable model for the underwater acoustic channel useful for network optimization in terms of convexity. Second, to propose a network coding based lower bound for transmission…

Information Theory · Computer Science 2008-09-02 Daniel E. Lucani , Muriel Médard , Milica Stojanovic

This paper considers the partial decode-and-forward (PDF) strategy for the Gaussian multiple-input multiple-output (MIMO) relay channel. Unlike for the decode-and-forward (DF) strategy or point-to-point (P2P) transmission, for which…

Information Theory · Computer Science 2014-10-01 Lennart Gerdes , Christoph Hellings , Lorenz Weiland , Wolfgang Utschick

In many wireless communication systems, radios are subject to a duty cycle constraint, that is, a radio only actively transmits signals over a fraction of the time. For example, it is desirable to have a small duty cycle in some low power…

Information Theory · Computer Science 2012-09-24 Lei Zhang , Hui Li , Dongning Guo

We investigate the problem of secure communications in a Gaussian multi-way relay channel applying the compute-and-forward scheme using nested lattice codes. All nodes employ half-duplex operation and can exchange confidential messages only…

Information Theory · Computer Science 2014-06-24 Johannes Richter , Christian Scheunert , Sabrina Engelmann , Eduard A. Jorswieck

The Compute-and-Forward relaying strategy achieves high computation rates by decoding linear combinations of transmitted messages at intermediate relays. However, if the involved relays independently choose which combinations of the…

Information Theory · Computer Science 2015-04-21 Amaro Barreal , Joonas Pääkkönen , David Karpuk , Camilla Hollanti , Olav Tirkkonen

We establish novel rates for the Gaussian approximation of random deep neural networks with Gaussian parameters (weights and biases) and Lipschitz activation functions, in the wide limit. Our bounds apply for the joint output of a network…

Statistics Theory · Mathematics 2023-12-20 Dario Trevisan

Lattices possess elegant mathematical properties which have been previously used in the literature to show that structured codes can be efficient in a variety of communication scenarios, including coding for the additive white Gaussian…

Information Theory · Computer Science 2017-12-19 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

The best outer bound on the capacity region of the two-user Gaussian Interference Channel (GIC) is known to be the intersection of regions of various bounds including genie-aided outer bounds, in which a genie provides noisy input signals…

Information Theory · Computer Science 2017-04-20 Junyoung Nam

In this paper, we propose an approach to numerically compute the feedback capacity of stationary finite dimensional Gaussian channels and construct (arbitrarily close to) capacity-achieving feedback codes. In particular, we first extend the…

Information Theory · Computer Science 2018-01-15 Chong Li , Nicola Elia

A network of 3 nodes mutually communicating with each other is studied. This multi-way network is a suitable model for 3-user device-to-device communications. The main goal of this paper is to characterize the capacity region of the…

Information Theory · Computer Science 2016-11-17 Anas Chaaban , Henning Maier , Aydin Sezgin , Rudolf Mathar

Interference alignment has emerged as a powerful tool in the analysis of multi-user networks. Despite considerable recent progress, the capacity region of the Gaussian K-user interference channel is still unknown in general, in part due to…

Information Theory · Computer Science 2016-11-15 Or Ordentlich , Uri Erez , Bobak Nazer

The sum-rate capacity of the parallel Gaussian interference channel is shown to be achieved by independent transmission across sub-channels and treating interference as noise in each sub-channel if the channel coefficients and power…

Information Theory · Computer Science 2009-03-04 Xiaohu Shang , Biao Chen , Gerhard Kramer , H. Vincent Poor

This paper derives upper and lower bounds on the capacity of the multiple-input single-output free-space optical intensity channel with signal-independent additive Gaussian noise subject to both an average-intensity and a peak-intensity…

Information Theory · Computer Science 2017-10-26 Stefan M. Moser , Ligong Wang , Michèle Wigger

We derive the outage capacity of a bursty version of the amplify-and-forward (BAF) protocol for small signal-to-noise ratios when incremental relaying is used. We show that the ratio between the outage capacities of BAF and the cut-set…

Information Theory · Computer Science 2016-11-17 Tobias Renk , Holger Jaekel , Friedrich Jondral , Deniz Gunduz , Andrea Goldsmith
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