• 제목/요약/키워드: Rateless Codes

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Optimization of Unequal Error Protection Rateless Codes for Multimedia Multicasting

  • Cao, Yu;Blostein, Steven D.;Chan, Wai-Yip
    • Journal of Communications and Networks
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    • 제17권3호
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    • pp.221-230
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    • 2015
  • Rateless codes have been shown to be able to provide greater flexibility and efficiency than fixed-rate codes for multicast applications. In the following, we optimize rateless codes for unequal error protection (UEP) for multimedia multicasting to a set of heterogeneous users. The proposed designs have the objectives of providing either guaranteed or best-effort quality of service (QoS). A randomly interleaved rateless encoder is proposed whereby users only need to decode symbols up to their own QoS level. The proposed coder is optimized based on measured transmission properties of standardized raptor codes over wireless channels. It is shown that a guaranteed QoS problem formulation can be transformed into a convex optimization problem, yielding a globally optimal solution. Numerical results demonstrate that the proposed optimized random interleaved UEP rateless coder's performance compares favorably with that of other recently proposed UEP rateless codes.

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

  • 장매향;김수영;장진영;김원용
    • 한국위성정보통신학회논문지
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    • 제9권2호
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    • pp.45-51
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    • 2014
  • Luby transform (LT) 부호는 무율(rateless) 부호의 하나로써, 주어진 정보 길이에 대해 이론적으로 무한대의 부호어를 생성해 낼 수 있도록 설계된 부호이다. 이와 같은 무율부호는 방송 및 멀티캐스팅 서비스에서 수신자 별로 서로 다른 채널의 상황에 대비하여 사용될 수 있다는 점에서 효과적인 방식이다. 위성 시스템에서도 이와 같은 무율부호를 적용하는 여러 가지 경우에 대하여 연구가 진행 중이다. 본 논문에서는 이와 같은 연구 추세를 감안하여 무율부호 중 가장 먼저 개발된 LT 부호에 대한 하드웨어 구현을 위하여, VHDL을 이용하여 LT 부호의 구현 결과를 소개한다. 본 논문에서 제시된 결과는 향후 위성 시스템에서 무율 부호가 효과적으로 활용될 수 있는 기초적인 자료로 활용될 것이다.

Formulation of Joint Iterative Decoding for Raptor Codes

  • Zhang, Meixiang;Kim, Sooyoung;Kim, Won-Yong;Cho, Yong-Hoon
    • 한국멀티미디어학회논문지
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    • 제17권8호
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    • pp.961-967
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    • 2014
  • Raptor codes are a class of rateless codes originally designed for binary erasure channels. This paper presents a compact set of mathematical expressions for iterative soft decoding of raptor codes. In addition, an early termination scheme is employed, and it is embedded in a single algorithm with the formula. In the proposed algorithm, the performance is enhanced by adopting iterative decoding, both in each inner and outer code and in the concatenated code itself between the inner and outer codes. At the same time, the complexity is reduced by applying an efficient early termination scheme. Simulation results show that our proposed method can achieve better performance with reduced decoding complexity compared to the conventional schemes.

Nonuniform Encoding and Hybrid Decoding Schemes for Equal Error Protection of Rateless Codes

  • Lim, Hyung Taek;Joo, Eon Kyeong
    • ETRI Journal
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    • 제34권5호
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    • pp.719-726
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    • 2012
  • Messages are generally selected with the same probability in the encoding scheme of rateless codes for equal error protection. In addition, a belief propagation (BP) decoding scheme is generally used because of the low computational complexity. However, the probability of recovering a new message by BP decoding is reduced if both the recovered and unrecovered messages are selected uniformly. Thus, more codeword symbols than expected are required for the perfect recovery of message symbols. Therefore, a new encoding scheme with a nonuniform selection of messages is proposed in this paper. In addition, a BP-Gaussian elimination hybrid decoding scheme that complements the drawback of the BP decoding scheme is proposed. The performances of the proposed schemes are analyzed and compared with those of the conventional schemes.

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

  • Abdulkhaleq, Nadhir I.;Gazi, Orhan
    • ETRI Journal
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    • 제38권5호
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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.

Selective Demodulation Scheme Based on Log-Likelihood Ratio Threshold

  • Huang, Yuheng;Dong, Yan;Jo, Minho;Liu, Yingzhuang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제7권4호
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    • pp.767-783
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    • 2013
  • This paper aims at designing a selective demodulation scheme based on Log-likelihood Ratio threshold (SDLT) instead of the conventional adaptive demodulation (ADM) scheme, by using rateless codes. The major difference is that the Log-likelihood ratio (LLR) threshold is identified as a key factor to control the demodulation rate, while the ADM uses decision region set (DRS) to adjust the bit rate. In the 16-QAM SDLT scheme, we deduce the decision regions over an additive white Gaussian channel, corresponding to the variation of LLR threshold and channel states. We also derived the equations to calculate demodulation rate and bit error rate (BER), which could be proven by simulation results. We present an adaptation strategy for SDLT, and compare it with ADM and adaptive modulation (AM). The simulation results show that our scheme not only significantly outperforms the ADM in terms of BER, but also achieves a performance as good as the AM scheme. Moreover, the proposed scheme can support much more rate patterns over a wide range of channel states.