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The feedback capacity of the stationary Gaussian additive noise channel has been open, except for the case where the noise is white. Here we find the feedback capacity of the stationary first-order moving average additive Gaussian noise…

Information Theory · Computer Science 2007-07-16 Young-Han Kim

In this paper, we examine an input-constrained erasure channel and we characterize the asymptotics of its capacity when the erasure rate is low. More specifically, for a general memoryless erasure channel with its input supported on an…

Information Theory · Computer Science 2016-05-10 Yonglong Li , Guangyue Han

Correlated scattering occurs naturally in frequency-selective fading channels and its impact on the performance needs to be understood. In particular, we answer the question whether the uncorrelated scattering model leads to an optimistic…

Information Theory · Computer Science 2009-01-19 Eduard Jorswieck , Martin Mittelbach

In this paper, we revisit the problem of finding the average capacity of the Gaussian feedback channel. First, we consider the problem of finding the average capacity of the analog Gaussian noise channel where the noise has an arbitrary…

Information Theory · Computer Science 2019-01-24 Ather Gattami

It is known that for a discrete channel with correlated additive noise, the ordinary capacity with or without feedback both equal $ \log q-\mathcal{H} (Z) $, where $ \mathcal{H}(Z) $ is the entropy rate of the noise process $ Z $ and $ q $…

Information Theory · Computer Science 2020-06-02 Amir Saberi , Farhad Farokhi , Girish N. Nair

We address the problem of universal communications over an unknown channel with an instantaneous noiseless feedback, and show how rates corresponding to the empirical behavior of the channel can be attained, although no rate can be…

Information Theory · Computer Science 2008-09-01 Ofer Shayevitz , Meir Feder

We consider the problem of estimating an upper bound on the capacity of a memoryless channel with unknown channel law and continuous output alphabet. A novel data-driven algorithm is proposed that exploits the dual representation of…

Information Theory · Computer Science 2024-01-25 Christian Häger , Erik Agrell

Calculating the capacity (with or without feedback) of channels with memory and continuous alphabets is a challenging task. It requires optimizing the directed information (DI) rate over all channel input distributions. The objective is a…

Information Theory · Computer Science 2020-05-19 Ziv Aharoni , Dor Tsur , Ziv Goldfeld , Haim Henry Permuter

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 capacity of finite state channels (FSCs) with feedback has been shown to be a limit of a sequence of multi-letter expressions. Despite many efforts, a closed-form single-letter capacity characterization is unknown to date. In this…

Information Theory · Computer Science 2022-02-07 Andrea Grigorescu , Holger Boche , Rafael F. Schaefer , H. Vincent Poor

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

A methodology is developed to realized optimal channel input conditional distributions, which maximize the finite-time horizon directed information, for channels with memory and feedback, by information lossless randomized strategies. The…

Information Theory · Computer Science 2016-04-06 Charalambos D. Charalambous , Christos K. Kourtellaris , Sergey Loyka

In diffusion-based molecular communications, messages can be conveyed via the variation in the concentration of molecules in the medium. In this paper, we intend to analyze the achievable capacity in transmission of information from one…

Information Theory · Computer Science 2011-05-11 Arash Einolghozati , Mohsen Sardari , Ahmad Beirami , Faramarz Fekri

This work investigates the fundamental limits of communication over a noisy discrete memoryless channel that wears out, in the sense of signal-dependent catastrophic failure. In particular, we consider a channel that starts as a memoryless…

Information Theory · Computer Science 2018-08-07 Ting-Yi Wu , Lav R. Varshney , Vincent Y. F. Tan

We investigate the maximum coding rate for a given average blocklength and error probability over a K-user discrete memoryless broadcast channel for the scenario where a common message is transmitted using variable-length stop-feedback…

Information Theory · Computer Science 2018-09-03 Kasper Fløe Trillingsgaard , Wei Yang , Giuseppe Durisi , Petar Popovski

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

The optimal decoder achieving the outage capacity under imperfect channel estimation is investigated. First, by searching into the family of nearest neighbor decoders, which can be easily implemented on most practical coded modulation…

Information Theory · Computer Science 2016-11-15 Pablo Piantanida , Sajad Sadough , Pierre Duhamel

We study the problem of generating an approximately i.i.d. string at the output of a discrete memoryless channel using a limited amount of randomness at its input in presence of causal noiseless feedback. Feedback does not decrease the…

Information Theory · Computer Science 2016-09-29 Mani Bastani Parizi , Emre Telatar

Memoryless channels with deletion errors as defined by a stochastic channel matrix allowing for bit drop outs are considered in which transmitted bits are either independently deleted with probability $d$ or unchanged with probability…

Information Theory · Computer Science 2012-11-13 Mojtaba Rahmati , Tolga M. Duman

The reliability function of memoryless channels with noiseless feedback and variable-length coding has been found to be a linear function of the average rate in the classic work of Burnashev. In this work we consider unifilar channels with…

Information Theory · Computer Science 2017-07-13 Achilleas Anastasopoulos , Jui Wu