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This paper considers the distribution of the mutual information of frequency-selective spatially-uncorrelated Rayleigh fading MIMO channels. Results are presented for OFDM-based spatial multiplexing. New exact closed-form expressions are…

Information Theory · Computer Science 2016-11-17 Matthew R. McKay , Peter J. Smith , Himal A. Suraweera , Iain B. Collings

Using a mild variant of polar codes we design linear compression schemes compressing Hidden Markov sources (where the source is a Markov chain, but whose state is not necessarily observable from its output), and to decode from Hidden Markov…

Information Theory · Computer Science 2018-10-05 Venkatesan Guruswami , Preetum Nakkiran , Madhu Sudan

In this paper, we propose an approach to obtain reduced-order models of Markov chains. Our approach is composed of two information-theoretic processes. The first is a means of comparing pairs of stationary chains on different state spaces,…

Information Theory · Computer Science 2019-05-01 Isaac J. Sledge , Jose C. Principe

The error exponent of Markov channels with feedback is studied in the variable-length block-coding setting. Burnashev's classic result is extended and a single letter characterization for the reliability function of finite-state Markov…

Information Theory · Computer Science 2016-09-08 Giacomo Como , Serdar Yuksel , Sekhar Tatikonda

We consider capacity of discrete-time channels with feedback for the general case where the feedback is a time-invariant deterministic function of the output samples. Under the assumption that the channel states take values in a finite…

Information Theory · Computer Science 2009-09-29 Haim Permuter , Tsachy Weissman , Andrea Goldsmith

We study two-receiver Poisson channels using tools derived from stochastic calculus. We obtain a general formula for the mutual information over the Poisson channel that allows for conditioning and the use of auxiliary random variables. We…

Information Theory · Computer Science 2019-11-12 Nirmal V. Shende , Aaron B. Wagner

We consider the channel sensing problem arising in opportunistic scheduling over fading channels, cognitive radio networks, and resource constrained jamming. The communication system consists of N channels. Each channel is modeled as a…

Systems and Control · Computer Science 2013-05-31 Yi Ouyang , Demosthenis Teneketzis

Particularly motivated by DNA storage channels, we consider channels with synchronization errors modeled as insertions and deletions, along with substitutions. We focus on the case where the synchronization error process has memory and…

Information Theory · Computer Science 2026-04-14 Ruslan Morozov , Tolga M. Duman

Inspired by Hilberg's hypothesis, which states that mutual information between blocks for natural language grows like a power law, we seek for links between power-law growth rate of algorithmic mutual information and of some estimator of…

Information Theory · Computer Science 2020-12-29 Łukasz Dębowski

This paper studies second-order coding rates for memoryless channels with a state sequence known non-causally at the encoder. In the case of finite alphabets, an achievability result is obtained using constant-composition random coding, and…

Information Theory · Computer Science 2013-11-13 Jonathan Scarlett

Consider a random non-centered multiple antenna radio transmission channel. Assume that the deterministic part of the channel is itself frequency selective, and that the random multipath part is represented by an ergodic stationary vector…

Information Theory · Computer Science 2015-04-06 Walid Hachem , Aris Moustakas , Leonid Pastur

Shannon's classical information theory uses probability theory to analyze channels as mechanisms for information flow. In this paper, we generalize results of Martin, Allwein and Moskowitz for binary channels to show how some more modern…

Programming Languages · Computer Science 2012-08-01 Michael Mislove

This paper investigates the capacity of finite-state channels (FSCs) with feedback. We derive an upper bound on the feedback capacity of FSCs by extending the duality upper bound method from mutual information to the case of directed…

Information Theory · Computer Science 2024-01-12 Bashar Huleihel , Oron Sabag , Ziv Aharoni , Haim H. Permuter

We consider the problem of transmitting data at rate R over a state dependent channel p(y|x,s) with the state information available at the sender and at the same time conveying the information about the channel state itself to the receiver.…

Information Theory · Computer Science 2016-11-17 Young-Han Kim , Arak Sutivong , Thomas M. Cover

The goal of this paper is to provide a rigorous information-theoretic analysis of subnetworks of interference networks. We prove two coding theorems for the compound multiple-access channel with an arbitrary number of channel states. The…

Information Theory · Computer Science 2011-02-02 Moritz Wiese , Holger Boche , Igor Bjelaković , Volker Jungnickel

We present a method to compute, quickly and efficiently, the mutual information achieved by an IID (independent identically distributed) complex Gaussian input on a block Rayleigh-faded channel without side information at the receiver. The…

Information Theory · Computer Science 2010-01-14 Fredrik Rusek , Angel Lozano , Nihar Jindal

In this paper, we try to establish a connection between a quantum information concept, i.e. the mutual information, and the conventional order parameter in condensed matter physics. We show that a non-vanishing mutual information at a long…

Quantum Physics · Physics 2012-09-19 Shi-Jian Gu , Wing Chi Yu , Hai-Qing Lin

A communication setup is considered where a transmitter wishes to simultaneously sense its channel state and convey a message to a receiver. The state is estimated at the transmitter by means of generalized feedback, i.e. a strictly causal…

Information Theory · Computer Science 2018-05-16 Mari Kobayashi , Giuseppe Caire , Gerhard Kramer

The capacity of time-varying channels with periodic feedback at the transmitter is evaluated. It is assumed that the channel state information is perfectly known at the receiver and is fed back to the transmitter at the regular…

Information Theory · Computer Science 2007-07-13 Mehdi Ansari Sadrabadi , Mohammad Ali Maddah-Ali , Amir K. Khandani

We present a sufficient condition for a non-injective function of a Markov chain to be a second-order Markov chain with the same entropy rate as the original chain. This permits an information-preserving state space reduction by merging…

Information Theory · Computer Science 2013-12-20 Bernhard C. Geiger , Christoph Temmel
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