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We firstly extend the interpretation of feedback communication over stationary finite dimensional Gaussian channels as feedback control systems by showing that, the problem of finding stabilizing feedback controllers with maximal reliable…

Information Theory · Computer Science 2015-12-01 Chong Li , Nicola Elia

We study finite alphabet channels with Unit Memory on the previous Channel Outputs called UMCO channels. We identify necessary and sufficient conditions, to test whether the capacity achieving channel input distributions with feedback are…

Information Theory · Computer Science 2017-01-05 Christos K. Kourtellaris , Charalambos D. Charalambous , Ioannis Tzortzis

Existing fixed-length feedback communication schemes are either specialized to particular channels (Schalkwijk--Kailath, Horstein), or apply to general channels but either have high coding complexity (block feedback schemes) or are…

Information Theory · Computer Science 2016-09-08 Cheuk Ting Li , Abbas El Gamal

We consider the N-user broadcast erasure channel with public feedback and side information. Before the beginning of transmission, each receiver knows a function of the messages of some of the other receivers. This situation arises naturally…

Information Theory · Computer Science 2014-06-16 A. Papadopoulos , L. Georgiadis

An error correcting code ($\mathsf{ECC}$) allows a sender to send a message to a receiver such that even if a constant fraction of the communicated bits are corrupted, the receiver can still learn the message correctly. Due to their…

Data Structures and Algorithms · Computer Science 2021-11-09 Meghal Gupta , Yael Tauman Kalai , Rachel Zhang

Spatially-Coupled LDPC (SC-LDPC) ensembles achieve the capacity of binary memoryless channels (BMS), asymptotically, under belief-propagation (BP) decoding. In this paper, we study the BP decoding of these code ensembles over a BMS channel…

Information Theory · Computer Science 2016-07-05 Vahid Aref , Narayanan Rengaswamy , Laurent Schmalen

We study sequential coding of Markov sources under an error propagation constraint. An encoder sequentially compresses a sequence of vector-sources that are spatially i.i.d. but temporally correlated according to a first-order Markov…

Information Theory · Computer Science 2012-02-24 Farrokh Etezadi , Ashish Khisti , Mitchell Trott

This paper presents a new derivation method of converse bounds on the non-asymptotic achievable rate of discrete weakly symmetric memoryless channels. It is based on the finite blocklength statistics of the channel, where with the use of an…

Information Theory · Computer Science 2022-02-08 Ioannis Papoutsidakis , Robert J. Piechocki , Angela Doufexi

In this paper, we investigate the capacity of finite-state channels (FSCs) in presence of delayed feedback. We show that the capacity of a FSC with delayed feedback can be computed as that of a new FSC with instantaneous feedback and an…

Information Theory · Computer Science 2024-06-25 Bashar Huleihel , Oron Sabag , Haim H. Permuter , Victoria Kostina

This article studies the zero-error feedback capacity of {\em causal} discrete channels with memory. First, by extending the classical zero-error feedback capacity concept, a new notion of {\em uniform zero-error feedback capacity} $ C_{0f}…

Information Theory · Computer Science 2022-06-02 Amir Saberi , Farhad Farokhi , Girish Nair

A random access scheme for the collision channel without feedback is proposed. The scheme is based on erasure correcting codes for the recovery of packet segments that are lost in collisions, and on successive interference cancellation for…

Information Theory · Computer Science 2016-11-17 Enrico Paolini , Gianluigi Liva , Marco Chiani

We consider the zero-error capacity of deletion channels. Specifically, we consider the setting where we choose a codebook ${\cal C}$ consisting of strings of $n$ bits, and our model of the channel corresponds to an adversary who may delete…

Information Theory · Computer Science 2011-02-02 Ian A. Kash , Michael Mitzenmacher , Justin Thaler , Jonathan Ullman

We present novel bounds on the capacity of the independent and identically distributed binary deletion channel. Four upper bounds are obtained by providing the transmitter and the receiver with genie-aided information on suitably-defined…

Information Theory · Computer Science 2008-10-07 Dario Fertonani , Tolga M. Duman

This paper considers a binary channel with deletions. We derive two close form upper bound on the capacity of binary deletion channel. The first upper bound is based on computing the capacity of an auxiliary channel and we show how the…

Information Theory · Computer Science 2021-03-23 Hassan Tavakoli

For any quantum discrete memoryless channel, we define a quantity called quantum entanglement capacity with classical feedback ($E_B$), and we show that this quantity lies between two other well-studied quantities. These two quantities -…

Quantum Physics · Physics 2009-11-13 Alan W. Leung

Channel capacity bounds are derived for a point-to-point indoor visible light communications (VLC) system with signal-dependent Gaussian noise. Considering both illumination and communication, the non-negative input of VLC is constrained by…

Information Theory · Computer Science 2020-11-03 Jin-Yuan Wang , Xian-Tao Fu , Rong-Rong Lu , Jun-Bo Wang , Min Lin , Julian Cheng

We consider the discrete memoryless degraded broadcast channels with feedback. We prove that the error probability of decoding tends to one exponentially for rates outside the capacity region and derive an explicit lower bound of this…

Information Theory · Computer Science 2015-04-24 Yasutada Oohama

We study the communication over Finite State Channels (FSCs), where the encoder and the decoder can control the availability or the quality of the noise-free feedback. Specifically, the instantaneous feedback is a function of an action…

Information Theory · Computer Science 2016-11-18 Himanshu Asnani , Haim Permuter , Tsachy Weissman

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

The reliability function of a channel is the maximum achievable exponential rate of decay of the error probability as a function of the transmission rate. In this work, we derive bounds on the reliability function of discrete memoryless…

Information Theory · Computer Science 2023-06-13 Mohsen Heidari , Achilleas Anastasopoulos , S. Sandeep Pradhan
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