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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

The capacity of a memoryless state-dependent channel is derived for a setting in which the encoder is provided with rate-limited assistance from a cribbing helper that observes the state sequence causally and the past channel inputs…

Information Theory · Computer Science 2024-01-24 Amos Lapidoth , Yossef Steinberg

We introduce a general framework for treating channels with memory and feedback. First, we generalize Massey's concept of directed information and use it to characterize the feedback capacity of general channels. Second, we present coding…

Information Theory · Computer Science 2007-07-13 Sekhar Tatikonda , Sanjoy Mitter

This paper considers the three-way channel, consisting of three nodes, where each node broadcasts a message to the two other nodes. The capacity of the finite-field three-way channel is derived, and is shown to be achievable using a…

Information Theory · Computer Science 2013-01-11 Lawrence Ong

We consider the feedback capacity of a MIMO channel whose channel output is given by a linear state-space model driven by the channel inputs and a Gaussian process. The generality of our state-space model subsumes all previous studied…

Information Theory · Computer Science 2022-07-22 Oron Sabag , Victoria Kostina , Babak Hassibi

We consider the capacity of an energy harvesting communication channel with a finite-sized battery. As an abstraction of this problem, we consider a system where energy arrives at the encoder in multiples of a fixed quantity, and the…

Information Theory · Computer Science 2013-05-20 Kaya Tutuncuoglu , Omur Ozel , Aylin Yener , Sennur Ulukus

The capacity of a quantum channel for transmission of classical information depends in principle on whether product states or entangled states are used at the input, and whether product or entangled measurements are used at the output. We…

Quantum Physics · Physics 2015-06-26 C. King , M. B. Ruskai

Consider communication over a channel whose probabilistic model is completely unknown vector-wise and is not assumed to be stationary. Communication over such channels is challenging because knowing the past does not indicate anything about…

Information Theory · Computer Science 2013-03-21 Yuval Lomnitz , Meir Feder

For information transmission a binary symmetric channel is used. There is also another noisy binary symmetric channel (feedback channel), and the transmitter observes without delay all the outputs of the forward channel via that feedback…

Information Theory · Computer Science 2010-11-10 M. V. Burnashev , H. Yamamoto

We initiate the study of zero-error communication via quantum channels when the receiver and sender have at their disposal a noiseless feedback channel of unlimited quantum capacity, generalizing Shannon's zero-error communication theory…

Quantum Physics · Physics 2016-08-18 Runyao Duan , Simone Severini , Andreas Winter

An upper bound on the feedback capacity of unifilar finite-state channels (FSCs) is derived. A new technique, called the $Q$-contexts, is based on a construction of a directed graph that is used to quantize recursively the receiver's output…

Information Theory · Computer Science 2016-04-08 Oron Sabag , Haim H. Permuter , Henry D. Pfister

We exhibit discrete memoryless quantum channels whose quantum capacity assisted by two-way classical communication, $Q_2$, exceeds their unassisted one-shot Holevo capacity $C_H$. These channels may be thought of as having a data input and…

Quantum Physics · Physics 2007-05-23 Charles H. Bennett , Igor Devetak , Peter W. Shor , John A. Smolin

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

For any binary-input channel with perfect state information at the decoder, if the mutual information between the noisy state observation at the encoder and the true channel state is below a positive threshold determined solely by the state…

Information Theory · Computer Science 2016-11-02 Rui Xu , Jun Chen , Tsachy Weissman , Jian-Kang Zhang

In this paper, we study, information theoretically, the impact of transmitter and or receiver cognition on the channel capacity. The cognition can be described by state information, dependent on the channel noise and or input. Specifically,…

Information Theory · Computer Science 2015-03-19 Nima S. Anzabi-Nezhad , Ghosheh Abed Hodtani , Mohammad Molavi Kakhki

The two-receiver broadcast packet erasure channel with feedback and memory is studied. Memory is modeled using a finite-state Markov chain representing a channel state. Outer and inner bounds on the capacity region are derived when the…

Information Theory · Computer Science 2014-11-11 Michael Heindlmaier , Navid Reyhanian , Shirin Saeedi Bidokhti

The two-receiver broadcast packet erasure channel with feedback and memory is studied. Memory is modeled using a finite-state Markov chain representing a channel state. Two scenarios are considered: (i) when the transmitter has causal…

Information Theory · Computer Science 2018-02-21 Michael Heindlmaier , Shirin Saeedi Bidokhti

The design of error-correcting codes used in modern communications relies on information theory to quantify the capacity of a noisy channel to send information [1]. This capacity can be expressed using the mutual information between input…

Quantum Physics · Physics 2019-07-17 M. B. Hastings

In this paper, we derive information-theoretic performance limits for three classes of two-user state-dependent discrete memoryless broadcast channels, with noncausal side-information at the encoder. The first class of channels comprises a…

Information Theory · Computer Science 2012-07-17 K. G. Nagananda , Chandra R. Murthy , Shalinee Kishore

A class of cognitive interference channel with state is investigated, in which two transmitters (transmitters 1 and 2) communicate with two receivers (receivers 1 and 2) over an interference channel. The two transmitters jointly transmit a…

Information Theory · Computer Science 2012-07-10 Ruchen Duan Yingbin Liang