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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

We present extensions to Raghavan and Baum's reliability-output Viterbi algorithm (ROVA) to accommodate tail-biting convolutional codes. These tail-biting reliability-output algorithms compute the exact word-error probability of the decoded…

Information Theory · Computer Science 2016-11-18 Adam R. Williamson , Matthew J. Marshall , Richard D. Wesel

Theoretical analysis has long indicated that feedback improves the error exponent but not the capacity of single-user memoryless channels. Recently Polyanskiy et al. studied the benefit of variable-length feedback with termination (VLFT)…

Information Theory · Computer Science 2013-02-26 Tsung-Yi Chen , Adam R. Williamson , Richard D. Wesel

In this paper, we are interested in the performance of a variable-length stop-feedback (VLSF) code with $m$ optimal decoding times for the binary-input additive white Gaussian noise channel. We first develop tight approximations on the tail…

Information Theory · Computer Science 2022-02-08 Hengjie Yang , Recep Can Yavas , Victoria Kostina , Richard D. Wesel

The Viterbi algorithm, presented in 1967, allows a maximum likelihood decoding of partial response codes. This study focuses on the duobinary code which is the first member of this family and has been specified for the digital part of…

Information Theory · Computer Science 2022-09-07 Henri Mertens , Marc Van Droogenbroeck

Turbo codes are well known to be one of the error correction techniques which achieve closer results to the Shannon limit. Nevertheless, the specific performance of the code highly depends on the particular decoding algorithm used at the…

Information Theory · Computer Science 2025-01-24 Jorge Ortin , Paloma Garcia , Fernando Gutierrez , Antonio Valdovinos

Traditional wireless communications rely solely on bit-level channel coding for error correction, without exploiting the inherent linguistic structure of the data source. This paper proposes a large language model (LLM) Viterbi decoder that…

Information Theory · Computer Science 2026-04-22 Zhengtong Li , Chentao Yue , Jiafu Hao , Branka Vucetic , Yonghui Li

We present an upper bound on the error probability achievable using variable-length stop feedback codes, for a fixed size of the information payload and a given constraint on the maximum latency and the average service time. Differently…

Information Theory · Computer Science 2020-02-20 Johan Östman , Rahul Devassy , Giuseppe Durisi , Erik G. Ström

Variable length codes exhibit de-synchronization problems when transmitted over noisy channels. Trellis decoding techniques based on Maximum A Posteriori (MAP) estimators are often used to minimize the error rate on the estimated sequence.…

Networking and Internet Architecture · Computer Science 2016-08-16 Simon Malinowski , Hervé Jégou , Christine Guillemot

We study variable-length feedback (VLF) codes under a strict delay constraint to maximize their average transmission rate (ATR) in a discrete memoryless channel (DMC) while considering periodic decoding attempts. We first derive a lower…

Information Theory · Computer Science 2015-02-25 Seong Hwan Kim , Dan Keun Sung , Tho Le-Ngoc

We derive a lower and upper bound on the reliability function of discrete memoryless multiple-access channel (MAC) with noiseless feedback and variable-length codes (VLCs). For the upper-bound, we use proof techniques of Burnashev for the…

Information Theory · Computer Science 2018-07-02 Mohsen Heidari , Achilleas Anastasopoulos , S. Sandeep Pradhan

Variable-length feedback coding has the potential to significantly enhance communication reliability in finite block length scenarios by adapting coding strategies based on real-time receiver feedback. Designing such codes, however, is…

Information Theory · Computer Science 2024-11-14 Wenwei Lai , Yulin Shao , Yu Ding , Deniz Gunduz

This paper studies reliability-guaranteed decoding for variable-length stop-feedback (VLSF) codes over correlated noncoherent fading channels. The decoding rule is based on the evolution of the information density associated with a given…

Information Theory · Computer Science 2026-04-20 Guodong Sun , Samir M. Perlaza , Philippe Mary , Jean-Marie Gorce

We derive upper and lower bounds on the reliability function for the common-message discrete memoryless broadcast channel with variable-length feedback. We show that the bounds are tight when the broadcast channel is stochastically…

Information Theory · Computer Science 2017-01-13 Lan V. Truong , Vincent Y. F. Tan

A Viterbi-like decoding algorithm is proposed in this paper for generalized convolutional network error correction coding. Different from classical Viterbi algorithm, our decoding algorithm is based on minimum error weight rather than the…

Information Theory · Computer Science 2019-02-12 Hengjie Yang , Wangmei Guo

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

A new channel coding approach was proposed in [1] for random multiple access communication over the discrete-time memoryless channel. The coding approach allows users to choose their communication rates independently without sharing the…

Information Theory · Computer Science 2016-11-15 Zheng Wang , Jie Luo

In this paper, we provide a new approach to the analytical estimation of the bit-error rate (BER) for convolutional codes for Viterbi decoding in the binary symmetric channel (BSC). The expressions we obtained for lower and upper BER bounds…

Information Theory · Computer Science 2022-11-22 Anastasia Kurmukova , Fedor Ivanov , Victor Zyablov

Variable-length block-coding schemes are investigated for discrete memoryless channels with ideal feedback under cost constraints. Upper and lower bounds are found for the minimum achievable probability of decoding error $P_{e,\min}$ as a…

Information Theory · Computer Science 2020-01-03 B. Nakiboglu , R. G. Gallager

Data detection of convolutional coded differential quaternary phase shift keyed (DQPSK) signals using a predictive Viterbi algorithm (VA) based receiver, is presented for single input, multiple output - orthogonal frequency division…

Information Theory · Computer Science 2017-10-10 Vineel Kumar Veludandi , K Vasudevan
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