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Polarization-adjusted convolutional (PAC) codes are special concatenated codes in which we employ a one-to-one convolutional transform as a precoding step before the polar transform. In this scheme, the polar transform (as a mapper) and the…

信息论 · 计算机科学 2021-03-24 Mohammad Rowshan , Emanuele Viterbo

Convolutional precoding in polarization-adjusted convolutional (PAC) codes can reduce the number of minimum weight codewords (a.k.a error coefficient) of polar codes. This can result in improving the error correction performance of (near)…

信息论 · 计算机科学 2022-12-02 Xinyi Gu , Mohammad Rowshan , Jinhong Yuan

Two concatenated coding schemes incorporating algebraic Reed-Solomon (RS) codes and polarization-adjusted convolutional (PAC) codes are proposed. Simulation results show that at a bit error rate of $10^{-5}$, a concatenated scheme using RS…

信息论 · 计算机科学 2021-06-17 Mohsen Moradi , Amir Mozammel

It is well known that to fulfill their full potential, the design of polar codes must be tailored to their intended decoding algorithm. While for successive cancellation (SC) decoding, information theoretically optimal constructions are…

信息论 · 计算机科学 2022-12-01 Marvin Geiselhart , Andreas Zunker , Ahmed Elkelesh , Jannis Clausius , Stephan ten Brink

Polarization-adjusted convolutional (PAC) codes are special concatenated codes in which we employ a one-to-one convolutional transform as a pre-coding step before the polar transform. In this scheme, the polar transform (as a mapper) and…

信息论 · 计算机科学 2020-07-13 Mohammad Rowshan , Emanuele Viterbo

Recently, there emerged revived interests of designing automatic programs (e.g., using genetic/evolutionary algorithms) to optimize the structure of Convolutional Neural Networks (CNNs) for a specific task. The challenge in designing such…

神经与进化计算 · 计算机科学 2018-06-05 Zhe Li , Xuehan Xiong , Zhou Ren , Ning Zhang , Xiaoyu Wang , Tianbao Yang

In this paper, we study a class of spatially coupled turbo codes, namely partially information- and partially parity-coupled turbo codes. This class of codes enjoy several advantages such as flexible code rate adjustment by varying the…

信息论 · 计算机科学 2020-12-25 Min Qiu , Xiaowei Wu , Alexandre Graell i Amat , Jinhong Yuan

Approximate computing emerges as a promising approach to enhance the efficiency of compute-in-memory (CiM) systems in deep neural network processing. However, traditional approximate techniques often significantly trade off accuracy for…

硬件体系结构 · 计算机科学 2024-09-02 Wenlun Zhang , Shimpei Ando , Yung-Chin Chen , Satomi Miyagi , Shinya Takamaeda-Yamazaki , Kentaro Yoshioka

Polar codes asymptotically achieve the symmetric capacity of memoryless channels, yet their error-correcting performance under successive-cancellation (SC) decoding for short and moderate length codes is worse than that of other modern…

信息论 · 计算机科学 2015-12-25 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

Polar codes under cyclic redundancy check aided successive cancellation list (CA-SCL) decoding can outperform the turbo codes and the LDPC codes when code lengths are configured to be several kilobits. In order to reduce the decoding…

信息论 · 计算机科学 2015-08-11 Kai Chen , Bin Li , Hui Shen , Jie Jin , David Tse

Deep polar codes are pre-transformed polar codes that employ a multi-layered polar kernel transformation strategy to enhance code performance in short blocklength regimes. However, like conventional polar codes, their block length is…

信息论 · 计算机科学 2025-05-13 Geon Choi , Namyoon Lee

Polarization-adjusted convolutional (PAC) codes are a new family of linear block codes that can perform close to the theoretical bounds in the short block-length regime. These codes combine polar coding and convolutional coding. In this…

信息论 · 计算机科学 2023-08-03 Mohsen Moradi

We derive a new fast convergent Density Evolution algorithm for finding optimal rate Low-Density Parity-Check (LDPC) codes used over the binary erasure channel (BEC). The fast convergence property comes from the modified Density Evolution…

信息论 · 计算机科学 2014-09-18 Hassan Tavakoli

We consider sparse superposition codes (SPARCs) over complex AWGN channels. Such codes can be efficiently decoded by an approximate message passing (AMP) decoder, whose performance can be predicted via so-called state evolution in the…

信息论 · 计算机科学 2021-03-09 Haiwen Cao , Pascal O. Vontobel

In this paper, we present a construction method of non-binary low-density parity-check (LDPC) convolutional codes. Our construction method is an extension of Felstroem and Zigangirov construction for non-binary LDPC convolutional codes. The…

信息论 · 计算机科学 2015-05-20 Hironori Uchikawa , Kenta Kasai , Kohichi Sakaniwa

Long polar codes can achieve the symmetric capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. However, for polar codes with short and moderate code length,…

硬件体系结构 · 计算机科学 2014-11-18 Jun Lin , Zhiyuan Yan

Convolutions are the fundamental building block of CNNs. The fact that their weights are spatially shared is one of the main reasons for their widespread use, but it also is a major limitation, as it makes convolutions content agnostic. We…

计算机视觉与模式识别 · 计算机科学 2019-04-12 Hang Su , Varun Jampani , Deqing Sun , Orazio Gallo , Erik Learned-Miller , Jan Kautz

Typically, forward error correction (FEC) codes are designed based on the minimization of the error rate for a given code rate. However, for applications that incorporate hybrid automatic repeat request (HARQ) protocol and adaptive…

信息论 · 计算机科学 2018-11-07 Hossein Khoshnevis , Ian Marsland , Halim Yanikomeroglu

Coded caching scheme, which is an effective technique to increase the transmission efficiency during peak traffic times, has recently become quite popular among the coding community. Generally rate can be measured to the transmission in the…

信息论 · 计算机科学 2017-10-03 Minquan Cheng , Qifa Yan , Xiaohu Tang , Jing Jiang

Polar codes can theoretically achieve very competitive Frame Error Rates. In practice, their performance may depend on the chosen decoding procedure, as well as other parameters of the communication system they are deployed upon. As a…

机器学习 · 计算机科学 2021-05-12 Mathieu Léonardon , Vincent Gripon