• Title/Summary/Keyword: Parity check

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Optimal Bit Split Methods and Performance Analysis for Applying to Multilevel Modulation of Iterative Codes (반복 부호의 다치 변조방식 적용을 위한 최적의 비트 분리 방법 및 성능평가)

  • Bae, Jong-Tae;Jung, Ji-Won;Choi, Seok-Soon;Kim, Min-Hyuk;Chang, Dae-Ig
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.3C
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    • pp.216-225
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    • 2007
  • This paper presents bit splitting methods to apply multilevel modulation to iterative codes such as turbo code, low density parity check code and turbo product code. Log-likelihood ratio method splits multilevel symbols to bits using the received in-phase and quadrature component based on Gaussian approximation. However it is too complicate to calculate and implement hardware due to exponential and log calculation. therefore this paper presents Euclidean, MAX and Sector method to reduce the high complexity of LLR method. We propose optimal bit splitting method for three iterative codes.

Design of Low Power Error Correcting Code Using Various Genetic Operators (다양한 유전 연산자를 이용한 저전력 오류 정정 코드 설계)

  • Lee, Hee-Sung;Hong, Sung-Jun;An, Sung-Je;Kim, Eun-Tai
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.2
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    • pp.180-184
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    • 2009
  • The memory is very sensitive to the soft error because the integration of the memory increases under low power environment. Error correcting codes (ECCs) are commonly used to protect against the soft errors. This paper proposes a new genetic ECC design method which reduces power consumption. Power is minimized using the degrees of freedom in selecting the parity check matrix of the ECCs. Therefore, the genetic algorithm which has the novel genetic operators tailored for this formulation is employed to solve the non-linear power optimization problem. Experiments are performed with Hamming code and Hsiao code to illustrate the performance of the proposed method.

Complexity of Distributed Source Coding using LDPCA Codes (LDPCA 부호를 이용한 실용적 분산 소스 부호화의 복호복잡도)

  • Jang, Min;Kang, Jin-Whan;Kim, Sang-Hyo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.35 no.4C
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    • pp.329-336
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    • 2010
  • Distributed source coding (DSC) system moves computational burden from encoder to decoder, so it takes higher decoding complexity. This paper explores the problem of reducing the decoding complexity of practical Slepian-Wolf coding using low-density parity check accumulate (LDPCA) codes. It is shown that the convergence of mean magnitude (CMM) stopping criteria for LDPC codes help reduce the 85% of decoding complexity under the 2% of compression rate loss, and marginal initial rate request reduces complexity below complexity minimum bound. Moreover, inter-rate stopping criterion, modified for rate-adaptable characteristic, is proposed for LDPCA codes, and it makes decoder perform less iterative decoding than normal stopping criterion does when channel characteristic is unknown.

Novel Class of Entanglement-Assisted Quantum Codes with Minimal Ebits

  • Dong, Cao;Yaoliang, Song
    • Journal of Communications and Networks
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    • v.15 no.2
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    • pp.217-221
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    • 2013
  • Quantum low-density parity-check (LDPC) codes based on the Calderbank-Shor-Steane construction have low encoding and decoding complexity. The sum-product algorithm(SPA) can be used to decode quantum LDPC codes; however, the decoding performance may be significantly decreased by the many four-cycles required by this type of quantum codes. All four-cycles can be eliminated using the entanglement-assisted formalism with maximally entangled states (ebits). The proposed entanglement-assisted quantum error-correcting code based on Euclidean geometry outperform differently structured quantum codes. However, the large number of ebits required to construct the entanglement-assisted formalism is a substantial obstacle to practical application. In this paper, we propose a novel class of entanglement-assisted quantum LDPC codes constructed using classical Euclidean geometry LDPC codes. Notably, the new codes require one copy of the ebit. Furthermore, we propose a construction scheme for a corresponding zigzag matrix and show that the algebraic structure of the codes could easily be expanded. A large class of quantum codes with various code lengths and code rates can be constructed. Our methods significantly improve the possibility of practical implementation of quantum error-correcting codes. Simulation results show that the entanglement-assisted quantum LDPC codes described in this study perform very well over a depolarizing channel with iterative decoding based on the SPA and that these codes outperform other quantum codes based on Euclidean geometries.

A design of sign-magnitude based DFU block for LDPC decoder (LDPC 복호기를 위한 sign-magnitude 수체계 기반의 DFU 블록 설계)

  • Seo, Jin-Ho;Park, Hae-Won;Shin, Kyung-Wook
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2011.10a
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    • pp.415-418
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    • 2011
  • This paper describes a circuit-level optimization of DFU(decoding function unit) for LDPC decoder which is used in wireless communication systems such as WiMAX and WLAN. The conventional DFU which is based on min-sum decoding algorithm needs conversions between two's complement values and sign-magnitude values, resulting in complex hardware. In this paper, a new design of DFU that is based on sign-magnitude arithmetic is proposed to achieve a simplified circuit and high-speed operation.

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An analysis of Optimal Design Conditions of Multi-mode LDPC Decoder for IEEE 802.11n WLAN System (IEEE 802.11n WLAN용 다중모드 LPDC 복호기의 최적 설계조건 분석)

  • Park, Hae-Won;Na, Young-Heon;Shin, Kyung-Wook
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.2
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    • pp.432-438
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    • 2011
  • This paper describes an analysis of optimal design conditions of multi-mode LDPC(low density parity check) decoder which supports three block lengths (648, 1296, 1944) and four code rates (1/2, 2/3, 3/4, 5/6) for IEEE 802.11n WLAN system. A fixed-point model of LDPC decoder, which adopts min-sum algorithm and layered decoding scheme, is implemented using Matlab. From fixed-point simulation results for various bit-width parameters such as internal bit-width, integer/fractional part bit-widths, optimal design conditions and decoding performance of LDPC decoder are analyzed.

A Low Density Parity Check Coding using the Weighted Bit-flipping Method (가중치가 부과된 Bit-flipping 기법을 이용한 LDPC 코딩)

  • Joh, Kyung-Hyun;Ra, Keuk-Hwan
    • 전자공학회논문지 IE
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    • v.43 no.4
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    • pp.115-121
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    • 2006
  • In this paper, we proposed about data error check and correction on channel transmission in the communication system. LDPC codes are used for minimizing channel errors by modeling AWGN Channel as a VDSL system. Because LDPC Codes use low density parity bit, mathematical complexity is low and relating processing time becomes shorten. Also the performance of LDPC code is better than that of turbo code in long code word on iterative decoding algorithm. This algorithm is better than conventional algorithms to correct errors, the proposed algorithm assigns weights for errors concerning parity bits. The proposed weighted Bit-flipping algorithm is better than the conventional Bit-flipping algorithm and we are recognized improve gain rate of 1 dB.

DRAM Buffer Data Management Techniques to Enhance SSD Performance (SSD 성능 향상을 위한 DRAM 버퍼 데이터 처리 기법)

  • Im, Kwang-Seok;Han, Tae-Hee
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.48 no.7
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    • pp.57-64
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    • 2011
  • To adjust the difference of bandwidth between host interface and NAND flash memory, DRAM is adopted as the buffer management in SSD (Solid-state Disk). In this paper, we propose cost-effective techniques to enhance SSD performance instead of using expensive high bandwidth DRAM. The SSD data can be classified into three groups such as user data, meta data for handling user data, and FEC(Forward Error Correction) parity/ CRC(Cyclic Redundancy Check) for error control. In order to improve the performance by considering the features of each data, we devise a flexible burst control method through monitoring system and a page based FEC parity/CRC application. Experimental results show that proposed methods enhance the SSD performance up to 25.9% with a negligible 0.07% increase in chip size.

Decision Feedback Equalizer Based on LDPC Code for Fast Processing and Performance Improvement (고속 처리와 성능 향상을 위한 LDPC 코드 기반 결정 궤환 등화기)

  • Kim, Do-Hoon;Choi, Jin-Kyu;Ryu, Heung-Gyoon
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.1
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    • pp.38-46
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    • 2012
  • In this paper, we propose a decision feedback equalizer based on LDPC(Low Density Parity Check) code for the fast processing and performance improvement in OFDM system. LDPC code has good error correcting capability and its performance approaches the Shannon capacity limit. However, it has longer parity check matrix and needs more iteration numbers. In our proposed system, MSE(Mean Square Error) of signal between decision device and decoder is fed back to equalizer. This proposed system can improve BER performance because it corrects estimated channel response more accurately. In addition, the proposed system can reduce complexity because it has a lower number of iterations than system without feedback at the same performance. Simulation results evaluate and show the performance of OFDM system with the CFO and phase noise in multipath channel.

An Enhanced Remote Data Checking Scheme for Dynamic Updates

  • Dong, Lin;Park, Jinwoo;Hur, Junbeom;Park, Ho-Hyun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.5
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    • pp.1744-1765
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    • 2014
  • A client stores data in the cloud and uses remote data checking (RDC) schemes to check the integrity of the data. The client can detect the corruption of the data using RDC schemes. Recently, robust RDC schemes have integrated forward error-correcting codes (FECs) to ensure the integrity of data while enabling dynamic update operations. Thus, minor data corruption can be recovered by FECs, whereas major data corruption can be detected by spot-checking techniques. However, this requires high communication overhead for dynamic update, because a small update may require the client to download an entire file. The Variable Length Constraint Group (VLCG) scheme overcomes this disadvantage by downloading the RS-encoded parity data for update instead of the entire file. Despite this, it needs to download all the parity data for any minor update. In this paper, we propose an improved RDC scheme in which the communication overhead can be reduced by downloading only a part of the parity data for update while simultaneously ensuring the integrity of the data. Efficiency and security analysis show that the proposed scheme enhances efficiency without any security degradation.