• Title/Summary/Keyword: Luby transform (LT) codes

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Implementation of systematic LT codes using VHDL (VHDL을 이용한 시스터메틱 LT 부호의 구현)

  • Zhang, Meixiang;Kim, Sooyoung;Chang, Jin Yeong;Kim, Won-Yong
    • Journal of Satellite, Information and Communications
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    • v.9 no.2
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    • pp.45-51
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    • 2014
  • Luby transform (LT) codes are a class of ratelss codes, and they have capability of generating infinite length of parities with a given information length. These rateless codes can be effectively utilized to provide broadcasting and multicasting services where each user is in a different channel condition. For this reason, there have been a number of researches on the application of rateless codes for satellite systems. In this paper, by considering the current research status on rateless codes, we present VHLD implementation results of LT codes, for future hardware implementation for satellite systems. The results demonstrated in this paper can be utilized as a basic information on efficient utilization of rateless codes in the future satellite systems.

A Robust And-Or Tree-based LT Encoded Symbol Packetization Algorithm for Video Streaming over Wireless Network (무선 네트워크 환경에서 효과적인 영상 스트리밍을 위한 And-Or 트리 기반의 LT 부호화 심볼 패킷화 알고리즘)

  • Lee, Dong-Ju;Kim, Wan;Yang, Yeon-Mo;Song, Hwang-Jun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.9A
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    • pp.749-757
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    • 2011
  • In this paper, we propose a robust And-Or tree-based Luby transform encoded symbol packetization algorithm to minimize the quality degradation of video streaming service caused by packet losses over wireless network. To achieve this goal, the relationship among Luby transform encoded symbols are analyzed by using And-Or tree, and the proposed packetization algorithm is designed to minimize packet loss effects by reducing the dependency among packets conveying Luby transform encoded symbols. Finally, experimental results are provided to show the performance of the proposed algorithm.

On-the-Fly Belief Propagation Decoding of Decentralized Luby Transform Codes for Distributed Storage in a Small-Scale Wireless Sensor Network (소규모 무선 센서 네트워크에서 분산 저장을 위한 LT 부호의 OBP 복호)

  • Cheong, Ho-Young
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.9 no.5
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    • pp.503-510
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    • 2016
  • In this paper I analyzed two decoding algorithms of decentralized LT codes for distributed storage by simulations in small-scale wireless sensor network. From the simulation results we can see that when the decoding ration is above 2.0, the successful decoding probability of OBP decoding is about 99%, while that of BP decoding is below 50% with n=100, and about 70% with n=200. We showed that OBP decoding algorithm is an efficient decoding scheme for decentralized LT codes for distributed storage in small-scale wireless sensor network.

A Distributed LT Codes-based Data Transmission Technique for Multicast Services in Vehicular Ad-hoc Networks

  • Zhou, Yuan;Fei, Zesong;Huang, Gaishi;Yang, Ang;Kuang, Jingming
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.7 no.4
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    • pp.748-766
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    • 2013
  • In this paper, we consider an infrastructure-vehicle-vehicle (I2V2V) based Vehicle Ad-hoc Networks (VANETs), where one base station multicasts data to d vehicular users with the assistance of r vehicular users. A Distributed Luby Transform (DLT) codes based transmission scheme is proposed over lossy VANETs to reduce transmission latency. Furthermore, focusing on the degree distribution of DLT codes, a Modified Deconvolved Soliton Distribution (MDSD) is designed to further reduce the transmission latency and improve the transmission reliability. We investigate the network behavior of the transmission scheme with MDSD, called MDLT based scheme. Closed-form expressions of the transmission latency of the proposed schemes are derived. Performance simulation results show that DLT based scheme can reduce transmission latency significantly compared with traditional Automatic Repeat Request (ARQ) and Luby Transform (LT) codes based schemes. In contrast to DLT based scheme, the MDLT based scheme can further reduce transmission latency and improve FER performance substantially, when both the source-to-relay and relay-to-sink channels are erasure channels.

Decoding of LT-Like Codes in the Absence of Degree-One Code Symbols

  • Abdulkhaleq, Nadhir I.;Gazi, Orhan
    • ETRI Journal
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    • v.38 no.5
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    • pp.896-902
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    • 2016
  • Luby transform (LT) codes were the first practical rateless erasure codes proposed in the literature. The performances of these codes, which are iteratively decoded using belief propagation algorithms, depend on the degree distribution used to generate the coded symbols. The existence of degree-one coded symbols is essential for the starting and continuation of the decoding process. The absence of a degree-one coded symbol at any instant of an iterative decoding operation results in decoding failure. To alleviate this problem, we proposed a method used in the absence of a degree-one code symbol to overcome a stuck decoding operation and its continuation. The simulation results show that the proposed approach provides a better performance than a conventional LT code and memory-based robust soliton distributed LT code, as well as that of a Gaussian elimination assisted LT code, particularly for short data lengths.

A New Iterative LT Decoding Algorithm for Binary and Nonbinary Galois Fields

  • Mao, Yuexin;Huang, Jie;Wang, Bing;Huang, Jianzhong;Zhou, Wei;Zhou, Shengli
    • Journal of Communications and Networks
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    • v.15 no.4
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    • pp.411-421
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    • 2013
  • Digital fountain codes are record-breaking codes for erasure channels. They have many potential applications in both wired and wireless communications. Most existing digital fountain codes operate over binary fields using an iterative belief-propagation (BP) decoding algorithm. In this paper, we propose a new iterative decoding algorithm for both binary and nonbinary fields. The basic form of our proposed algorithm considers both degree-1 and degree-2 check nodes (instead of only degree-1 check nodes as in the original BP decoding scheme), and has linear complexity. Extensive simulation demonstrates that it outperforms the original BP decoding scheme, especially for a small number of source packets. The enhanced form of the proposed algorithm combines the basic form of the algorithm and a guess-based algorithm to further improve the decoding performance. Simulation results demonstrate that it can provide better decoding performance than the guess-based algorithm with fewer guesses, and can achieve decoding performance close to that of the maximum likelihood decoder at a much lower decoding complexity. Last, we show that our nonbinary scheme has the potential to outperform the binary scheme when choosing suitable degree distributions, and furthermore it is insensitive to the size of the Galois field.