• Title/Summary/Keyword: Low density parity check (LDPC) codes

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Space-Time Carrier Interferometry Techniques with Low-density Parity Check Code for High-speed Multimedia Communications

  • Chung Yeon-Ho
    • Journal of Korea Multimedia Society
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    • v.9 no.6
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    • pp.728-734
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    • 2006
  • Carrier interferometry code is considered as a promising scheme that provides significant performance improvement via frequency diversity effect. Space-time coding is commonly employed to achieve a performance gain through space diversity. The combination of these techniques and forward error correction coding will lead to enhanced system capacity and performance. This paper presents a low-density parity check (LDPC) coded space-time orthogonal frequency division multiplexing (OFDM) transmission scheme with carrier interferometry code for high-capacity and high-performance mobile multimedia communications. Computer simulations demonstrate that the proposed mobile multimedia transmission system offers a considerable performance improvement of approximately 9dB in terms of Eb/No in the Rayleigh fading channel with relatively low delay spread, in comparison with space-time OFDM. Performance gains are further increased, comparing with traditional OFDM systems.

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Simplified 2-Dimensional Scaled Min-Sum Algorithm for LDPC Decoder

  • Cho, Keol;Lee, Wang-Heon;Chung, Ki-Seok
    • Journal of Electrical Engineering and Technology
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    • v.12 no.3
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    • pp.1262-1270
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    • 2017
  • Among various decoding algorithms of low-density parity-check (LDPC) codes, the min-sum (MS) algorithm and its modified algorithms are widely adopted because of their computational simplicity compared to the sum-product (SP) algorithm with slight loss of decoding performance. In the MS algorithm, the magnitude of the output message from a check node (CN) processing unit is decided by either the smallest or the next smallest input message which are denoted as min1 and min2, respectively. It has been shown that multiplying a scaling factor to the output of CN message will improve the decoding performance. Further, Zhong et al. have shown that multiplying different scaling factors (called a 2-dimensional scaling) to min1 and min2 much increases the performance of the LDPC decoder. In this paper, the simplified 2-dimensional scaled (S2DS) MS algorithm is proposed. In the proposed algorithm, we figure out a pair of the most efficient scaling factors which multiplications can be replaced with combinations of addition and shift operations. Furthermore, one scaling operation is approximated by the difference between min1 and min2. The simulation results show that S2DS achieves the error correcting performance which is close to or outperforms the SP algorithm regardless of coding rates, and its computational complexity is the lowest comparing to modified versions of MS algorithms.

Study on Low Density Parity Check Coded OFDM on Fading channel (페이딩 채널에서 LDPC 부호화 OFDM에 대한 연구)

  • Kang, Hee-Hoon;Lee, Young-Jong;Han, Won-Ok
    • Journal of the Institute of Electronics Engineers of Korea TE
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    • v.42 no.3
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    • pp.51-56
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    • 2005
  • To improve the BER of OFDM on a fading channel, a low-density parity check coded OFDM system is proposed in this paper. LDPC codes are decoded with Sum-Product or Belief Propagation Algorithm known by probability propagation algorithm. When LDPC codes are applied to OFDM system, the BER performance is dependant on the iteration number of decoding. To improve the spectral efficiency, multi-level modulations are used in mobile communication system. But, It is not clear how to decode LDPC code used in OFDM with multi-level modulations. In the paper, a decoding algorithm is described for LDPC coded OFDM with MPSK. When use the proposed decoding algorithm, we get the good BER for AWGN and a Fading Channel. Simulation results show that the proposed decoding algorithm is confirmed LDPC coded OFDM with MPSK.

Hybrid ARQ for LDPC-coded Systems (LDPC 부호에 기반한 Hybrid ARQ 기법)

  • Ahn, Seok-Ki;Myung, Se-Ho;Yang, Kyeong-Cheol
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.12C
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    • pp.991-996
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    • 2008
  • In this paper, we propose an LDPC-coded hybrid ARQ system using incremental redundancy and retransmission of a part of the transmitted packets. We also present a simple criterion for choosing two methods to support a desired throughput efficiently. Furthermore, we show that the throughput performance can be improved when multi-edge type LDPC codes with the structure of Raptor codes are employed for a hybrid ARQ scheme.

Single-Step Adaptive Offset Min-Sum Algorithm for Decoding LDPC Codes (LDPC 코드의 빠른 복원을 위한 1단으로 구성된 적응적인 오프셋 MS 알고리즘)

  • Lin, Xiaoju;Baasantseren, Gansuren;Lee, Hae-Kee;Kim, Sung-Soo
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.59 no.1
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    • pp.53-57
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    • 2010
  • Low-density parity-check (LDPC) codes with belief-propagation (BP) algorithm achieve a remarkable performance close to the Shannon limit at reasonable decoding complexity. Conventionally, each iteration in decoding process contains two steps, the horizontal step and the vertical step. In this paper, an efficient implementation of the adaptive offset min-sum (AOMS) algorithm for decoding LDPC codes using the single-step method is proposed. Furthermore, the performances of the AOMS algorithm compared with belief-propagation (BP) algorithm are investigated. The algorithms using the single-step method reduce the implementation complexity, speed up the decoding process and have better efficiency in terms of memory requirements.

Effects of LDPC Code on the BER Performance of MPSK System with Imperfect Receiver Components over Rician Channels

  • Djordjevic, Goran T.;Djordjevic, Ivan B.;Ivanis, Predrag N.
    • ETRI Journal
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    • v.31 no.5
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    • pp.619-621
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    • 2009
  • In this letter, we study the influence of receiver imperfections on bit error rate (BER) degradations in detecting low-density parity-check coded multilevel phase-shift keying signals transmitted over a Rician fading channel. Based on the analytical system model which we previously developed using Monte Carlo simulations, we determine the BER degradations caused by the simultaneous influences of stochastic phase error, quadrature error, in-phase-quadrature mismatch, and the fading severity.

Effective identification of dominant fully absorbing sets for Raptor-like LDPC codes

  • Woncheol Cho;Chanho Yoon;Kapseok Chang;Young-Jo Ko
    • ETRI Journal
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    • v.45 no.1
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    • pp.7-17
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    • 2023
  • The error-rate floor of low-density parity-check (LDPC) codes is attributed to the trapping sets of their Tanner graphs. Among them, fully absorbing sets dominantly affect the error-rate performance, especially for short blocklengths. Efficient methods to identify the dominant trapping sets of LDPC codes were thoroughly researched as exhaustively searching them is NP-hard. However, the existing methods are ineffective for Raptor-like LDPC codes, which have many types of trapping sets. An effective method to identify dominant fully absorbing sets of Raptor-like LDPC codes is proposed. The search space of the proposed algorithm is optimized into the Tanner subgraphs of the codes to afford time-efficiency and search-effectiveness. For 5G New Radio (NR) base graph (BG) 2 LDPC codes for short blocklengths, the proposed algorithm finds more dominant fully absorbing sets within one seventh of the computation time of the existing search algorithm, and its search-effectiveness is verified using importance sampling. The proposed method is also applied to 5G NR BG1 LDPC code and Advanced Television Systems Committee 3.0 type A LDPC code for large blocklengths.

Design of a Low-Power LDPC Decoder by Reducing Decoding Iterations (반복 복호 횟수 감소를 통한 저전력 LDPC 복호기 설계)

  • Lee, Jun-Ho;Park, Chang-Soo;Hwang, Sun-Young
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.9C
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    • pp.801-809
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    • 2007
  • LDPC Low Density Parity Check) code, which is an error correcting code determined to be applied to the 4th generation mobile communication systems, requires a heavy computational complexity due to iterative decodings to achieve a high BER performance. This paper proposes an algorithm to reduce the number of decoding iterations to increase performance of the decoder in decoding latency and power consumption. Measuring changes between the current decoded LLR values and previous ones, the proposed algorithm predicts directions of the value changes. Based on the prediction, the algorithm inverts the sign bits of the LLR values to speed up convergence, which means parity check equation is satisfied. Simulation results show that the number of iterations has been reduced by about 33% without BER performance degradation in the proposed decoder, and the power consumption has also been decreased in proportional to the amount of the reduced decoding iterations.

Low Computational Complexity LDPC Decoding Algorithms for DVB-S2 Systems (DVB-S2 시스템을 위한 저복잡도 LDPC 복호 알고리즘)

  • Jung Ji-Won
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.10 s.101
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    • pp.965-972
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    • 2005
  • In this paper, we first review LDPC codes in general and a belief propagation algorithm that works in logarithm domain. LDPC codes, which is chosen for second generation digital video broadcasting standard, are required a large number of computation due to large size of coded block and iteration. Therefore, we presented two kinds of low computational algorithm for LDPC codes. First, sequential decoding with partial group is proposed. It has same H/W complexity, and fewer number of iteration's are required at same performance in comparison with conventional decoder algerian. Secondly, early detection method for reducing the computational complexity is proposed. Using a confidence criterion, some bit nodes and check node edges are detected early on during decoding. Through the simulation, we knew that the iteration number are reduced by half using subset algorithm and computational complexity of early detected method is about $50\%$ offs in case of check node update, $99\%$ offs in case of check node update compared to conventional scheme.

On the Design of Block Lengths for Irregular LDPC Codes Based on the Maximum Variable Degree

  • Chung, Kyu-Hyuk
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.11C
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    • pp.907-910
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    • 2010
  • This paper presents the design of block lengths for irregular low-density parity-check (LDPC) codes based on the maximum variable degree $d_{{\upsilon},max}$. To design a block length, the performance degradation of belief-propagation (BP) decoding performance from upper bounds on the maximum likelihood (ML) decoding performance is used as an important factor. Since for large block lengths, the performance of irregular LDPC codes is very close to the Shannon limit, we focus on moderate block lengths ($5{\times}10^2\;{\leq}\;N\;{\leq}\;4{\times}10^3$). Given degree distributions, the purpose of our paper is to find proper block lengths based on the maximum variable degree $d_{{\upsilon},max}$. We also present some simulation results which show how a block length can be optimized.