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A constant-rate encoder--decoder pair is presented for a fairly large family of two-dimensional (2-D) constraints. Encoding and decoding is done in a row-by-row manner, and is sliding-block decodable. Essentially, the 2-D constraint is…

Information Theory · Computer Science 2008-08-06 Ido Tal , Tuvi Etzion , Ron M. Roth

The quadratic decaying property of the information rate function states that given a fixed conditional distribution $p_{\mathsf{Y}|\mathsf{X}}$, the mutual information between the (finite) discrete random variables $\mathsf{X}$ and…

Information Theory · Computer Science 2023-05-15 Michael X. Cao , Marco Tomamichel

We consider a spectrum-sharing network where n secondary relays are used to increase secondary rate and also mitigate interference on the primary by reducing the required overall secondary emitted power. We propose a distributed relay…

Information Theory · Computer Science 2012-10-05 Yang Li , Aria Nosratinia

This work is motivated by the problem of error correction in bit-shift channels with the so-called $ (d,k) $ input constraints (where successive $ 1 $'s are required to be separated by at least $ d $ and at most $ k $ zeros, $ 0 \leq d < k…

Information Theory · Computer Science 2020-08-13 Mladen Kovačević

Shannon's analysis of the fundamental capacity limits for memoryless communication channels has been refined over time. In this paper, the maximum volume $M_\avg^*(n,\epsilon)$ of length-$n$ codes subject to an average decoding error…

Information Theory · Computer Science 2016-12-28 Pierre Moulin

An improved pre-factor for the random coding bound is proved. Specifically, for channels with critical rate not equal to capacity, if a regularity condition is satisfied (resp. not satisfied), then for any $\epsilon >0$ a pre-factor of…

Information Theory · Computer Science 2013-12-25 Yucel Altug , Aaron B. Wagner

The angular and frequency correlation functions of the transmission coefficient for light propagation through a strongly scattering amplifying medium are considered. It is found that just as in the case of an elastic scattering medium the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. A. Burkov , A. Yu. Zyuzin

Semantic communication has attracted significant interest recently due to its capability to meet the fast growing demand on user-defined and human-oriented communication services such as holographic communications, eXtended reality (XR),…

Information Theory · Computer Science 2023-12-12 Jingxuan Chai , Yong Xiao , Guangming Shi , Walid Saad

The following critical phenomenon was recently discovered. When a memoryless source is compressed using a variable-length fixed-distortion code, the fastest convergence rate of the (pointwise) compression ratio to the optimal $R(D)$…

Probability · Mathematics 2007-07-13 Amir Dembo , Ioannis Kontoyiannis

Motivated by the proliferation of real-time applications in multimedia communication systems, tactile Internet, and cyber-physical systems, supporting delay-constrained traffic becomes critical for such systems. In delay-constrained…

Information Theory · Computer Science 2022-06-23 Lei Deng , Danzhou Wu , Jing Deng , Po-Ning Chen , Yunghsiang S. Han

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

This paper considers a random access system where each sender can be in two modes of operation, active or not active, and where the set of active users is available to a common receiver only. Active transmitters encode data into independent…

Information Theory · Computer Science 2016-11-18 Paolo Minero , Massimo Franceschetti , David N. C. Tse

The analysis of the channel capacity in the absence of prior channel knowledge (noncoherent channel) has gained increasing interest in recent years, but it is still unknown for the general case. In this paper we derive bounds on the…

Information Theory · Computer Science 2011-07-05 Itsik Bergel , Sergio Benedetto

When transmitting information over a noisy channel, two approaches, dating back to Shannon's work, are common: assuming the channel errors are independent of the transmitted content and devising an error-correcting code, or assuming the…

Information Theory · Computer Science 2015-01-22 Ohad Elishco , Tom Meyerovitch , Moshe Schwartz

In this contribution we aim to study the stability boundaries of solutions at equilibria for a second-order oscillator networks with SN-symmetry, we look for non-degenerate Hopf bifurcations as the time-delay between nodes increases. The…

Chaotic Dynamics · Physics 2017-08-15 Diego Paolo Ferruzzo Correa , José Roberto Castilho Piqueira

We study the energy performance of random linear network coding for time division duplexing channels. We assume a packet erasure channel with nodes that cannot transmit and receive information simultaneously. The sender transmits coded data…

Information Theory · Computer Science 2009-01-05 Daniel E. Lucani , Milica Stojanovic , Muriel Médard

There exists stable growing solution of primary resonant equation for a autoresonant pumping with decreasing amplitude. The primary term of asymptotics is $O(\sqrt{t})$ and does not depend on order of the force from some interval. We point…

Mathematical Physics · Physics 2013-03-20 O. M. Kiselev

We consider a peak-power-limited single-antenna block-stationary Gaussian fading channel where neither the transmitter nor the receiver knows the channel state information, but both know the channel statistics. This model subsumes most…

Information Theory · Computer Science 2016-11-17 Jun Chen , Venugopal V. Veeravalli

Consider a standard ${\Lambda }$-coalescent that comes down from infinity. Such a coalescent starts from a configuration consisting of infinitely many blocks at time $0$, but its number of blocks $N_t$ is a finite random variable at each…

Probability · Mathematics 2015-06-05 Vlada Limic , Anna Talarczyk

In this paper, we investigate information-theoretic scaling laws, independent from communication strategies, for point-to-point molecular communication, where it sends/receives information-encoded molecules between nanomachines. Since the…

Information Theory · Computer Science 2014-04-02 Andrew W. Eckford , Chan-Byoung Chae
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