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This paper presents a reliability-based decoding scheme for variable-length coding with feedback and demonstrates via simulation that it can achieve higher rates than Polyanskiy et al.'s random coding lower bound for variable-length…

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

This paper is concerned with block Markov superposition transmission (BMST) of tail-biting convolutional code (TBCC). We propose a new decoding algorithm for BMST-TBCC, which integrates a serial list Viterbi algorithm (SLVA) with a soft…

Information Theory · Computer Science 2019-02-27 Xiao Ma , Wenchao Lin , Suihua Cai , Baodian Wei

In this work we propose a novel decoding algorithm for tailbiting convolutional codes and evaluate its performance over different channels. The proposed method consists on a fixed two-step Viterbi decoding of the received data. In the first…

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

Tail-biting convolutional codes extend the classical zero-termination convolutional codes: Both encoding schemes force the equality of start and end states, but under the tail-biting each state is a valid termination. This paper proposes a…

Information Theory · Computer Science 2021-02-03 Tomer Raviv , Asaf Schwartz , Yair Be'ery

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

Recently, rate-$1/\omega$ zero-terminated and tail-biting convolutional codes (ZTCCs and TBCCs) with cyclic-redundancy-check (CRC)-aided list decoding have been shown to closely approach the random-coding union (RCU) bound for short…

Information Theory · Computer Science 2022-06-09 Wenhui Sui , Hengjie Yang , Brendan Towell , Ava Asmani , Richard D. Wesel

We consider the concatenation of a convolutional code (CC) with an optimized cyclic redundancy check (CRC) code as a promising paradigm for good short blocklength codes. The resulting CRC-aided convolutional code naturally permits the use…

Information Theory · Computer Science 2022-02-11 Hengjie Yang , Ethan Liang , Minghao Pan , Richard Wesel

Recently, rate-1/n zero-terminated (ZT) and tail-biting (TB) convolutional codes (CCs) with cyclic redundancy check (CRC)-aided list decoding have been shown to closely approach the random-coding union (RCU) bound for short blocklengths.…

Information Theory · Computer Science 2023-10-11 Wenhui Sui , Brendan Towell , Ava Asmani , Hengjie Yang , Holden Grissett , Richard D. Wesel

Deep learning has enabled significant advances in feedback-based channel coding, yet existing learned schemes remain fundamentally limited: they employ fixed block lengths, suffer degraded performance at high rates, and cannot fully exploit…

Information Theory · Computer Science 2026-02-10 Yu Ding , Yulin Shao

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 design of codes for feedback-enabled communications has been a long-standing open problem. Recent research on non-linear, deep learning-based coding schemes have demonstrated significant improvements in communication reliability over…

Information Theory · Computer Science 2023-06-09 Junghoon Kim , Taejoon Kim , David Love , Christopher Brinton

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

This paper applies probabilistic amplitude shaping (PAS) to a cyclic redundancy check (CRC) aided trellis coded modulation (TCM) to achieve the short-blocklength random coding union (RCU) bound. In the transmitter, the equally likely…

Information Theory · Computer Science 2021-11-18 Linfang Wang , Dan Song , Felipe Areces , Richard D. Wesel

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

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

This paper studies the joint design of optimal convolutional codes (CCs) and CRC codes when serial list Viterbi algorithm (S-LVA) is employed in order to achieve the target frame error rate (FER). We first analyze the S-LVA performance with…

Information Theory · Computer Science 2018-11-30 Hengjie Yang , Ethan Liang , Richard D. Wesel

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

Cyclic redundancy check (CRC) codes combined with convolutional codes yield a powerful concatenated code that can be efficiently decoded using list decoding. To help design such systems, this paper presents an efficient algorithm for…

Information Theory · Computer Science 2020-05-19 Hengjie Yang , Linfang Wang , Vincent Lau , Richard D. Wesel
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