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This article examines the problem of state estimation over multi-terminal channels in an unreliable regime. More specifically, we consider two canonical settings. In the first setting, measurements of a common stochastic source need to be…

Information Theory · Computer Science 2023-08-31 Touraj Soleymani , Deniz Gündüz

It is known that state-dependent, multi-step Lyapunov bounds lead to greatly simplified verification theorems for stability for large classes of Markov chain models. This is one component of the "fluid model" approach to stability of…

Optimization and Control · Mathematics 2012-05-18 Serdar Yüksel , Sean P. Meyn

Bounds on the reliability function for the discrete memoryless relay channel are derived using the method of types. Two achievable error exponents are derived based on partial decode-forward and compress-forward which are well-known…

Information Theory · Computer Science 2016-11-17 Vincent Y. F. Tan

In this paper, we investigate the necessity of finite blocklength codes in distributed transmission of independent message sets over channels with feedback. Previously, it was shown that finite effective length codes are necessary in…

Information Theory · Computer Science 2018-01-17 Mohsen Heidari , Farhad Shirani , S. Sandeep Pradhan

For output-symmetric DMCs at even moderately high rates, fixed-block-length communication systems show no improvements in their error exponents with feedback. In this paper, we study systems with fixed end-to-end delay and show that…

Information Theory · Computer Science 2007-12-06 Anant Sahai

This paper presents a variable-length decision-feedback scheme that uses tail-biting convolutional codes and the tail-biting Reliability-Output Viterbi Algoritm (ROVA). Comparing with recent results in finite-blocklength information theory,…

Information Theory · Computer Science 2016-11-17 Adam R. Williamson , Tsung-Yi Chen , Richard D. Wesel

This paper investigates the problem of zero-delay joint source-channel coding of a vector Gauss-Markov source over a multiple-input multiple-output (MIMO) additive white Gaussian noise (AWGN) channel with feedback. In contrast to the…

Information Theory · Computer Science 2023-10-19 Barron Han , Oron Sabag , Victoria Kostina , Babak Hassibi

Markov state models (MSMs) are widely employed to analyze the kinetics of complex systems. But despite their effectiveness in many applications, MSMs are prone to systematic or statistical errors, often exacerbated by suboptimal…

Data Analysis, Statistics and Probability · Physics 2025-08-12 Yehor Tuchkov , Luke Evans , Sonya M. Hanson , Erik H. Thiede

In this paper, we consider the problem of variable packet-error coding, which emerges in network communication scenarios where a source transmits information to a destination through multiple disjoint paths. The objective is to design codes…

Information Theory · Computer Science 2025-06-19 Xiangliang Kong , Xin Wang , Ron M. Roth , Itzhak Tamo

We study joint source-channel coding over Markov channels through the empirical coordination framework. More specifically, we aim at determining the empirical distributions of source and channel symbols that can be induced by a coding…

Information Theory · Computer Science 2026-05-06 Mengyuan Zhao , Maël Le Treust , Tobias J. Oechtering

We derive novel upper and lower finite-length bounds of the error probability in joint source-channel coding when the source obeys an ergodic Markov process and the channel is a Markovian additive channel or a Markovian conditional additive…

Information Theory · Computer Science 2017-05-03 Ryo Yaguchi , Masahito Hayashi

In this paper, we propose a model for large scale fading channels via markov process. We exploit the channel delay profile and the dependency between channel states via a first order autoregressive model that cast insight to the channel…

Information Theory · Computer Science 2023-04-27 Samah A. M. Ghanem

We consider a control problem for a finite-state Markov system whose performance is evaluated by a coherent Markov risk measure. For each policy, the risk of a state is approximated by a function of its features, thus leading to a…

Optimization and Control · Mathematics 2023-12-05 Andrzej Ruszczynski , Shangzhe Yang

With advancements in telecommunications, data transmission over increasingly harsher channels that produce synchronisation errors is inevitable. Coding schemes for such channels are available through techniques such as the Davey-MacKay…

Information Theory · Computer Science 2022-07-22 Shamin Achari , Ling Cheng

The bit-wise unequal error protection problem, for the case when the number of groups of bits $\ell$ is fixed, is considered for variable length block codes with feedback. An encoding scheme based on fixed length block codes with erasures…

Information Theory · Computer Science 2020-01-03 Baris Nakiboglu , Siva K. Gorantla , Lizhong Zheng , Todd P. Coleman

Exponential error bounds for the finite-alphabet interference channel (IFC) with two transmitter-receiver pairs, are investigated under the random coding regime. Our focus is on optimum decoding, as opposed to heuristic decoding rules that…

Information Theory · Computer Science 2008-10-14 Raul Etkin , Neri Merhav , Erik Ordentlich

We establish a correspondence between the fault-tolerance of local stabilizer codes experiencing measurement and physical errors and the mixed-state phases of decohered resource states in one higher dimension. Drawing from recent…

Quantum Physics · Physics 2025-06-06 Amir-Reza Negari , Tyler D. Ellison , Timothy H. Hsieh

We consider finite state channels (FSCs) with feedback and state information known causally at the encoder. This setting is quite general and includes: a memoryless channel with i.i.d. state (the Shannon strategy), Markovian states that…

Information Theory · Computer Science 2022-12-27 Eli Shemuel , Oron Sabag , Haim H. Permuter

The finite state Markov channel (FSMC), where the channel transition probability is controlled by a state undergoing a Markov process, is a useful model for the mobile wireless communication channel. In this paper, we investigate the…

Information Theory · Computer Science 2017-01-06 Bin Dai , Zheng Ma , Yuan Luo

This paper investigates variable-length stop-feedback codes for memoryless channels in point-to-point, multiple access, and random access communication scenarios. The proposed codes employ $L$ decoding times $n_1, n_2, \dots, n_L$ for the…

Information Theory · Computer Science 2023-12-12 Recep Can Yavas , Victoria Kostina , Michelle Effros