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An Efficient Decoder for a Linear Distance Quantum LDPC Code 2023

An Efficient Decoder for a Linear Distance Quantum LDPC Code

引用

55th Annual ACM Symposium on Theory of Computing (STOC) part of the ACM Federated Computing Research Conference (FCRC)

作者： Gu, Shouzhen Pattison, Christopher A. Tang, Eugene CALTECH Inst Quantum Informat & Matter Pasadena CA 91125 USA MIT Ctr Theoret Phys Cambridge MA USA

ISBN: (纸本)9781450399135

Recent developments have shown the existence of quantum low-density parity check (qLDPC) codes with constant rate and linear distance. A natural question concerns the efficient decodability of these codes. In this paper, we present a linear time decoder for the recent quantum Tanner codes construction of asymptotically good qLDPC codes, which can correct all errors of weight up to a constant fraction of the blocklength. Our decoder is an iterative algorithm which searches for corrections within constant-sized regions. At each step, the corrections are found by reducing a locally defined and efficiently computable cost function which serves as a proxy for the weight of the remaining error.

关键词： Quantum error correction quantum low-density parity-check codes decoding algorithm expander graphs robust error-correcting codes

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On A New Uniform Dynamic Coding algorithm for Model-Based Networked Control Systems 4

On A New Uniform Dynamic Coding Algorithm for Model-Based Ne...

引用

4th Australian Control Conference (AUCC)

作者： Wang, Gexia Tan, Ying Mareels, Iven Shanghai Univ Elect Power Dept Math & Phys Shanghai 201300 Peoples R China Univ Melbourne Dept Elect & Elect Engn Parkville Vic 3010 Australia

ISBN: (纸本)9781922107398

This paper focuses on a special form of networked control systems (NCSs): model-based NCSs (MB-NCSs). MB-NCSs were proposed in order to reduce the number of data packet exchanges between sensors and controllers/actuators by using linear-time-invariant nominal models and some appropriate coder and decoder algorithms. This paper proposes a new uniform dynamic coding and decoding algorithm for MBNCSs whose design parameters depend on the choice of the controller for the nominal model, the model mismatch between the nominal model and the plant as well as the sampling period. This new algorithm can ensure that the closed loop stability of MB-NCSs by choosing proper coding and decoding parameters. The robustness of this algorithms with respect to the model mismatch has also been addressed. Simulation results demonstrate the effectiveness of the proposed algorithm.

关键词： algorithm design and analysis Closed loop systems decoding Encoding Heuristic algorithms Mathematical model Stability analysis algorithm design and analysis Closed loop systems Heuristic algorithms decoding Stability analysis dynamic encoding Mathematical Model Networked control systems data packets decoding algorithm

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Efficient Termination of Spatially-Coupled Codes

Efficient Termination of Spatially-Coupled Codes

引用

IEEE Information Theory Workshop (ITW)

作者： Tazoe, Koji Kasai, Kenta Sakaniwa, Kohichi Tokyo Inst Technol Dept Commun & Integrated Syst Tokyo 1528550 Japan

ISBN: (纸本)9781467302234

Spatially-coupled low-density parity-check codes attract much attention due to their capacity-achieving performance and a memory-efficient sliding-window decoding algorithm. On the other hand, the encoder needs to solve large linear equations to terminate the encoding process. In this paper, we propose modified spatially-coupled codes. The modified (d(l), d(r), L) codes have less rate-loss, i.e., higher coding rate, and have the same threshold as (d(l), d(r), L) codes and are efficiently terminable by using an accumulator.

关键词： Codes Linear equation accumulator stopping sliding windows low density parity check codes decoding algorithm

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Joint Probability-algebraic decoding for Tail-biting Codes Used in LTE System

Joint Probability-algebraic Decoding for Tail-biting Codes U...

引用

International Conference on Computer Science and Network Technology

作者： Jianping LI Wan LI School of Information Engineering Communication University of China CUC Beijing China

ISBN: (纸本)9781467381741

Tail-biting codes are the main control channel coding form for the LTE system. The WAVA algorithm is one of the widely used as the decoding algorithm of tail-biting codes. To fully make use of the information on the algebra structure of the tail-biting codes, we combined the WAVA algorithm with the algebraic decoding, and proposed a new joint probabilityalgebraic decoding algorithm. Simulation results show that, compared with the single probability decoding, the new algorithm has better performance on the error correction.

关键词： tail-biting codes LTE joint probability-algebraic decoding Local thermodynamic equilibrium tail biting Long Term Evolution error correction decoding algorithm control channel Codes Algebra decoding

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A simplifed joint demapping and decoding for LDPC coded BICM systems

A simplifed joint demapping and decoding for LDPC coded BICM...

引用

11th International Conference on Wireless Communications, Networking and Mobile Computing (WiCOM 2015)

作者： Ping Huang Yueheng Li Meiyan Ju Department of Computer Information Hohai University Nanjing China

ISBN: (纸本)9781510821279

To make full use of the characteristics of LDPC decoding, Stephan ten Brink had proposed a joint iterative demapping and decoding algorithm for LDPC coded BICM systems. Based on Brink proposed algorithm, we propose a modified joint iterative scheme to further reduce the computation complex. Different from the algorithm presented by Brink, in the process of iterative demapping and decoding, the proposed method simplifies the update calculation of the LDPC parity check nodes by adopting the UMP-BP. More importantly, to compensate for the performance degradation brought by UMP-BP, LLRs optimization based on certain optimality criterion is employed for the proposed method. Numerical analysis shows that the complexity of the proposed method is less than traditional joint iterative algorithm. Simulation results also show that by LLRs optimization the proposed method achieves noticeable performance improvement compared with the BICM-ID and the joint iterative algorithm.

关键词： BICM Joint Iterative Demapping and decoding LDPC LLRs Optimization low density parity check codes decoding Joints Joints performance boost degradation of performance decoding algorithm

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LOW COMPLEXITY decoding OF VARIABLE LENGTH SOURCE-CHANNEL CODES

LOW COMPLEXITY DECODING OF VARIABLE LENGTH SOURCE-CHANNEL CO...

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IEEE International Conference on Acoustics, Speech and Signal Processing

作者： Hugues Mercier Abdul Wasae Fabrice Labeau Universite de Neuchatel Institute of Computer Science 2000 Neuchatel Switzerland McGill University Electrical and Computer Engineering Montreal (Quebec) Canada H3A 0G4

ISBN: (纸本)9781479928941

Soft source decoders, in conjunction with error correcting channel codes, can be used to improve the error resilience of digital communication systems based on variable length codes. In this paper, we present a novel approach to reduce the complexity of maximum a posteriori variable length decoders implemented on a bit-symbol trellis. The decoding algorithm is implemented in a narrow corridor along the trellis diagonal to reduce the decoder complexity. Furthermore, by periodically adjusting the corridor boundaries, a significant reduction in complexity is achieved at the price of a small degradation in decoding performance.

关键词： error-resilience decoding Complexity decoders Channel coding Digital communication systems decoding algorithm variable length Codes Corridors

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Hardware Implementation of a Reed-Solomon Soft Decoder based on Information Set decoding 14

Hardware Implementation of a Reed-Solomon Soft Decoder based...

引用

Design, Automation and Test in Europe Conference and Exhibition

作者： Stefan Scholl Norbert Wehn University of Kaiserslautern Kaiserslautern Germany

ISBN: (纸本)9783981537024

Soft decision decoding of Reed-Solomon codes can largely improve frame errors rates over currently used hard decision decoding. In this paper, we present a new hardware implementation for soft decoding of Reed-Solomon codes based on information set decoding. To our best knowledge this is the first hardware implementation of information set decoding for long Reed-Solomon codes. We propose a reduced complexity version of the decoding algorithm, that is optimized for efficient hardware implementation and enables high throughput. The decoder was implemented on a Virtex 7 FPGA, achieving a gain of 0.75 dB compared to conventional hard decision decoding and a throughput of up to 1.19 GBit/s for the widely used RS(255,239). This gain in FER is achieved with less complexity and more than 15× larger throughput than other state-of-the-art architectures.

关键词： decoding Reed-Solomon codes Dataset hard-decision decoding Computer hardware Throughput decoders decoding algorithm FER Gene Iron

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decoding Improvement for LT Codes

Decoding Improvement for LT Codes

引用

2013 International Conference on Mechatronics,Applied Mechanics and Energy Engineering(MAMEE 2013)

作者： Lina Wang Wei Tang Department of Communication Engineering School of Computer and Communication EngineeringUniversity of Science and Technology Beijing

In this paper the performance of LT codes is analyzed. And then, for the remaining part of information which can be decoded still exists when decoding failure, an improved message passing decoding algorithm which retains the original algorithm framework is proposed. The simulation results have shown that the improved message passing decoding algorithm improves the decoding rate and reduces decoding overhead on the premise of appropriately increasing decoding complexity.

关键词： LT codes Message passing decoding algorithm

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Combining belief propagation and successive cancellation list decoding of polar codes on a GPU platform

Combining belief propagation and successive cancellation lis...

引用

IEEE International Conference on Acoustics, Speech and Signal Processing

作者： Sebastian Cammerer Benedikt Leible Matthias Stahl Jakob Hoydis Stephan ten Brink Institute of Telecommunications Pfaffenwaldring 47 University of Stuttgart 70569 Germany Nokia Bell Labs Route de Villejust 91620 Nozay France

ISBN: (纸本)9781509041183

The decoding performance of polar codes strongly depends on the decoding algorithm used, while also the decoder throughput and its latency mainly depend on the decoding algorithm. In this work, we implement the powerful successive cancellation list (SCL) decoder on a GPU and identify the bottlenecks of this algorithm with respect to parallel computing and its difficulties. The inherent serial decoding property of the SCL algorithm naturally limits the achievable speed-up gains on GPUs when compared to CPU implementations. In order to increase the decoding throughput, we use a hybrid decoding scheme based on the belief propagation (BP) decoder, which can be intra- and inter-frame parallelized. The proposed scheme combines excellent decoding performance and high throughput within the signal-to-noise ratio (SNR) region of interest.

关键词： Polar code Belief propagation decoding algorithm successive cancellation decoding interframe decoders GRAPPER PICK UP Graphics Processing Unit list decoding Throughput Safety Check List Traffic Bottlenecks

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A Modified Method for General LDPC Bit-flipping decoding

A Modified Method for General LDPC Bit-flipping Decoding

引用

2019第七届计算机与通信管理国际会议

作者： Ruizhen Wu Lin Wang Hua Feng Wei He Intel Mobile Communications Technology(Xi'an) Ltd

A modified method for general LDPC bit-flipping decoding is proposed in this *** proposed method consists of two parts:multi-bit flipping judgement algorithm and multi-bit flipping compensation algorithm,the first part trying to find the maximum acceptable number of bits to flipping at the same time to accelerated convergence process,and the second part to compensates the new errors introduced by the first *** proposed decoding method can be easily used to modify different BF algorithms which means the hardware implementation is *** simulation results show that the proposed method can achieve 2.75% to 36.05% of bit-flipping timing reduction,3.0% to 18.1% of BER reduction at SNR 0.2 dB to 4 dB compared with classic BF,IMWBF,LCWBF,and RRWBF.

关键词： LDPC Bit-flipping decoding algorithm 5G

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