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This work studies point-to-point, multiple access, and random access lossless source coding in the finite-blocklength regime. In each scenario, a random coding technique is developed and used to analyze third-order coding performance.…

Information Theory · Computer Science 2020-10-13 Shuqing Chen , Michelle Effros , Victoria Kostina

This paper considers the joint-decoding (JD) problem for finite-state channels (FSCs) and low-density parity-check (LDPC) codes. In the first part, the linear-programming (LP) decoder for binary linear codes is extended to JD of…

Information Theory · Computer Science 2015-05-27 Byung-Hak Kim , Henry D. Pfister

For finite length polar codes, channel polarization leaves a significant number of channels not fully polarized. Adding a Cyclic Redundancy Check (CRC) to better protect information on the semi-polarized channels has already been…

Information Theory · Computer Science 2016-11-14 A. Elkelesh , M. Ebada , S. Cammerer , S. ten Brink

Polarization-adjusted convolutional (PAC) codes, as a concatenated coding scheme based on polar codes, is able to approach the finite-length bound of binary-input AWGN channel at short blocklengths. In this paper, we extend PAC codes to the…

Information Theory · Computer Science 2023-08-11 Mengfan Zheng , Cong Ling

Polar codes have emerged as the most favorable channel codes for their unique capacity-achieving property. To date, numerous works have been reported for efficient design of polar codes decoder. However, these prior efforts focused on…

Information Theory · Computer Science 2015-01-15 Bo Yuan , Keshab K. Parhi

Recently, Guo and Xia gave sufficient conditions for an STBC to achieve full diversity when a PIC (Partial Interference Cancellation) or a PIC-SIC (PIC with Successive Interference Cancellation) decoder is used at the receiver. In this…

Information Theory · Computer Science 2015-03-14 Lakshmi Prasad Natarajan , B. Sundar Rajan

Polar codes are of great interests because they provably achieve the capacity of both discrete and continuous memoryless channels while having an explicit construction. Most existing decoding algorithms of polar codes are based on bit-wise…

Information Theory · Computer Science 2016-01-20 Chenrong Xiong , Jun Lin , Zhiyuan Yan

Polar-coded multiple-input multiple-output systems are investigated. An advanced receiver implementing joint list decoding of polar codes and QR- and MMSE-based detectors is proposed. The approximate and exact path metrics are derived for…

Information Theory · Computer Science 2025-08-29 Liudmila Karakchieva , Peter Trifonov

We present nonasymptotic upper and lower bounds on the maximum coding rate achievable when transmitting short packets over a Rician memoryless block-fading channel for a given requirement on the packet error probability. We focus on the…

Information Theory · Computer Science 2017-12-19 Johan Östman , Giuseppe Durisi , Erik G. Ström , Mustafa C. Coşkun , Gianluigi Liva

This paper investigates properties of polar codes that can be potentially useful in real-world applications. We start with analyzing the performance of finite-length polar codes over the binary erasure channel (BEC), while assuming belief…

Information Theory · Computer Science 2012-11-12 Ali Eslami , H. Pishro-Nik

We consider the problem of polar coding for transmission over $m$-user multiple access channels. In the proposed scheme, all users encode their messages using a polar encoder, while a multi-user successive cancellation decoder is deployed…

Information Theory · Computer Science 2016-11-17 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

In this paper, we investigate unsourced random access for massive machine-type communications (mMTC) in the sixth-generation (6G) wireless networks. Firstly, we establish a high-efficiency uncoupled framework for massive unsourced random…

Information Theory · Computer Science 2024-05-07 Feiyan Tian , Xiaoming Chen , Yong Liang Guan , Chau Yuen

This paper introduces a new approach to cost-effective, high-throughput hardware designs for Low Density Parity Check (LDPC) decoders. The proposed approach, called Non-Surjective Finite Alphabet Iterative Decoders (NS-FAIDs), exploits the…

Signal Processing · Electrical Eng. & Systems 2017-10-02 Thien Truong Nguyen-Ly , Valentin Savin , Khoa Le , David Declercq , Fakhreddine Ghaffari , Oana Boncalo

Polar codes have gained significant attention in channel coding for their ability to approach the capacity of binary input discrete memoryless channels (B-DMCs), thanks to their reliability and efficiency in transmission. However, existing…

Information Theory · Computer Science 2025-01-30 Jiaxing Li , Shuwen Zhang , Zhisong Bie

Polarization-adjusted convolutional (PAC) codes were recently proposed and arouse the interest of the channel coding community because they were shown to approach theoretical bounds for the (128,64) code size. In this letter, we propose…

Information Theory · Computer Science 2020-11-09 Thibaud Tonnellier , Warren J. Gross

This paper focuses on an improved Gaussian approximation (GA) based construction of polar codes with successive cancellation (SC) decoding over an additive white Gaussian noise (AWGN) channel. Arikan has proven that polar codes with…

Information Theory · Computer Science 2020-10-08 Hideki Ochiai , Patrick Mitran , H. Vincent Poor

This paper studies a variant of the classical problem of ``writing on dirty paper'' in which the sum of the input and the interference, or dirt, is multiplied by a random variable that models resizing, known to the decoder but not to the…

Information Theory · Computer Science 2016-11-17 Wenyi Zhang , Shivaprasad Kotagiri , J. Nicholas Laneman

In this work it is shown that locally repairable codes (LRCs) can be list-decoded efficiently beyond the Johnson radius for a large range of parameters by utilizing the local error-correction capabilities. The corresponding decoding radius…

Information Theory · Computer Science 2020-09-16 Lukas Holzbaur , Sven Puchinger , Antonia Wachter-Zeh

Grant-free access schemes are candidates to support future massive multiple access applications owing to their capability to reduce control signaling and latency. As a promising class of grant-free schemes, coded random access schemes can…

Information Theory · Computer Science 2022-08-25 Lorenzo Valentini , Marco Chiani , Enrico Paolini

Blind recognition of polar codes remains challenging in non-cooperative scenarios, particularly for information-set recognition with known code length. Existing methods mainly rely on threshold decisions determined by the generator-matrix…

Information Theory · Computer Science 2026-05-14 Changwei Tu , Yang Liu , Xianzhao Feng , Kai Niu