• Title/Summary/Keyword: Parity check

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Bit Split Algorithm for Applying the Multilevel Modulation of Iterative codes (반복부호의 멀티레벨 변조방식 적용을 위한 비트분리 알고리즘)

  • Park, Tae-Doo;Kim, Min-Hyuk;Kim, Nam-Soo;Jung, Ji-Won
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.9
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    • pp.1654-1665
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    • 2008
  • 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 soft decision symbols using the received in-phase and quadrature component based on Gaussian approximation. However it is too complicate to calculate and to implement hardware due to exponential and logarithm calculation. Therefore this paper presents Euclidean, MAX, sector and center focusing method to reduce the high complexity of LLR method. Also, this paper proposes optimal soft symbol split method for three kind of iterative codes. Futhermore, 16-APSK modulator method with double ring structure for applying DVB-S2 system and 16-QAM modulator method with lattice structure for T-DMB system are also analyzed.

Advanced Multi-Pass Fast Correlation Attack on Stream Ciphers (스트림 암호에 대한 개선된 다중 경로 고속 상관 공격)

  • Kim, Hyun;Sung, Jae-Chul;Lee, Sang-Jin;Park, Hae-Ryong;Chun, Kil-Soo;Hong, Seok-Hie
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.17 no.4
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    • pp.53-60
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    • 2007
  • In a known plaintext scenario, fast correlation attack is very powerful attack on stream ciphers. Most of fast correlation attacks consider the cryptographic problem as the suitable decoding problem. In this paper, we introduce advanced multi-pass fast correlation attack which is based on the fast correlation attack, which uses parity check equation and Fast Walsh Transform, proposed by Chose et al. and the Multi-pass fast correlation attack proposed by Zhang et al. We guess some bits of initial states of the target LFSR with the same method as previously proposed methods, but we can get one more bits at each passes and we will recover the initial states more efficiently.

A Study on Horizontal Shuffle Scheduling for High Speed LDPC decoding in DVB-S2 (DVB-S2 기반 고속 LDPC 복호를 위한 Horizontal Shuffle Scheduling 방식에 관한 연구)

  • Lim, Byeong-Su;Kim, Min-Hyuk;Jung, Ji-Won
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.16 no.10
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    • pp.2143-2149
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    • 2012
  • DVB-S2 employs LDPC codes which approach to the Shannon's limit, since it has characteristics of a good distance, error floor does not appear. Furthermore it is possible to processes full parallel processing. However, it is very difficult to high speed decoding because of a large block size and number of many iterations. This paper present HSS algorithm to reduce the iteration numbers without performance degradation. In the flooding scheme, the decoder waits until all the check-to-variable messages are updated at all parity check nodes before computing the variable metric and updating the variable-to-check messages. The HSS algorithm is to update the variable metric on a check by check basis in the same way as one code draws benefit from the other. Eventually, LDPC decoding speed based on HSS algorithm improved 30% ~50% compared to conventional one without performance degradation.

Combined Horizontal-Vertical Serial BP Decoding of GLDPC Codes with Binary Cyclic Codes (이진 순환 부호를 쓰는 GLDPC 부호의 수평-수직 결합 직렬 복호)

  • Chung, Kyuhyuk
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.10
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    • pp.585-592
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    • 2014
  • It is well known that serial belief propagation (BP) decoding for low-density parity-check (LDPC) codes achieves faster convergence without any increase of decoding complexity per iteration and bit error rate (BER) performance loss than standard parallel BP (PBP) decoding. Serial BP (SBP) decoding, such as horizontal SBP (H-SBP) decoding or vertical SBP (V-SBP) decoding, updates check nodes or variable nodes faster than standard PBP decoding within a single iteration. In this paper, we propose combined horizontal-vertical SBP (CHV-SBP) decoding. By the same reasoning, CHV-SBP decoding updates check nodes or variable nodes faster than SBP decoding within a serialized step in an iteration. CHV-SBP decoding achieves faster convergence than H-SBP or V-SBP decoding. We compare these decoding schemes in details. We also show in simulations that the convergence rate, in iterations, for CHV-SBP decoding is about $\frac{1}{6}$ of that for standard PBP decoding, while the convergence rate for SBP decoding is about $\frac{1}{2}$ of that for standard PBP decoding. In simulations, we use recently proposed generalized LDPC (GLDPC) codes with binary cyclic codes (BCC).

8.1 Gbps High-Throughput and Multi-Mode QC-LDPC Decoder based on Fully Parallel Structure (전 병렬구조 기반 8.1 Gbps 고속 및 다중 모드 QC-LDPC 복호기)

  • Jung, Yongmin;Jung, Yunho;Lee, Seongjoo;Kim, Jaeseok
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.11
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    • pp.78-89
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    • 2013
  • This paper proposes a high-throughput and multi-mode quasi-cyclic (QC) low-density parity-check (LDPC) decoder based on a fully parallel structure. The proposed QC-LDPC decoder employs the fully parallel structure to provide very high throughput. The high interconnection complexity, which is the general problem in the fully parallel structure, is solved by using a broadcasting-based sum-product algorithm and proposing a low-complexity cyclic shift network. The high complexity problem, which is caused by using a large amount of check node processors and variable node processors, is solved by proposing a combined check and variable node processor (CCVP). The proposed QC-LDPC decoder can support the multi-mode decoding by proposing a routing-based interconnection network, the flexible CCVP and the flexible cyclic shift network. The proposed QC-LDPC decoder is operated at 100 MHz clock frequency. The proposed QC-LDPC decoder supports multi-mode decoding and provides 8.1 Gbps throughput for a (1944, 1620) QC-LDPC code.

LDPC Coding for image data and FPGA Implementation of LDPC Decoder (영상 정보의 LDPC 부호화 및 복호기의 FPGA구현)

  • Jang, Eun-Young
    • The Journal of the Korea institute of electronic communication sciences
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    • v.12 no.4
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    • pp.569-574
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    • 2017
  • In order to transmit information in a channel environment in which noise exists, a coding technique of information is required. One of the coding techniques used for error detection and correction close to the Shannon limit is Low Density Parity Code(LDPC). LDPC and decoding characteristic features by Sum-product algorithm are matched for the performance to Turbo Code, RA(Repeat Accumulate) code, in case of very long code length of LDPC surpass their performance. This paper explains LDPC coding scheme of image data and decoding scheme, implements LDPC decoder in FPGA.

Reliability-Based Deblocking Filter for Wyner-Ziv Video Coding

  • Dinh, Khanh Quoc;Shim, Hiuk Jae;Jeon, Byeungwoo
    • IEIE Transactions on Smart Processing and Computing
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    • v.5 no.2
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    • pp.129-142
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    • 2016
  • In Wyner-Ziv coding, video signals are reconstructed by correcting side information generated by block-based motion estimation/compensation at the decoder. The correction is not always accurate due to the limited number of parity bits and early stopping of low-density parity check accumulate (LDPCA) decoding in distributed video coding, or due to the limited number of measurements in distributed compressive video sensing. The blocking artifacts caused by block-based processing are usually conspicuous in smooth areas and degrade the perceptual quality of the reconstructed video. Conventional deblocking filters try to remove the artifacts by treating both sides of the block boundary equally; however, coding errors generated by block-based processing are not necessarily the same on both sides of the block boundaries. Such a block-wise difference is exploited in this paper to improve deblocking for Wyner-Ziv frameworks by designing a filter where the deblocking strength at each block can be non-identical, depending on the reliability of the reconstructed pixels. Test results show that the proposed filter not only improves subjective quality by reducing the coding artifacts considerably, but also gains rate distortion performance.

SISO-RLL Decoding Algorithm of 17PP Modulation Code for High Density Optical Recording Channel (고밀도 광 기록 채널에서 17PP 변조 부호의 연판정 입력 연판정 출력 런-길이 제한 복호 알고리즘)

  • Lee, Bong-Il;Lee, Jae-Jin
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.2C
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    • pp.175-180
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    • 2009
  • When we apply the LDPC code for high density optical storage channel, it is necessary to make an algorithm that the modulation code decoder must feed the LDPC decoder soft-valued information because LDPC decoder exploits soft values using the soft input. Therefore, we propose the soft-input soft-output run-length limited 17PP decoding algorithm and compare performance of LDPC codes. Consequently, we found that the proposed soft-input soft-output decoding algorithm using 17PP is 0.8dB better than the soft-input soft-output decoding algorithm using (1, 7) RLL.

VLSI Implementation of Forward Error Control Technique for ATM Networks

  • Padmavathi, G.;Amutha, R.;Srivatsa, S.K.
    • ETRI Journal
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    • v.27 no.6
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    • pp.691-696
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    • 2005
  • In asynchronous transfer mode (ATM) networks, fixed length cells of 53 bytes are transmitted. A cell may be discarded during transmission due to buffer overflow or a detection of errors. Cell discarding seriously degrades transmission quality. The quality degradation can be reduced by employing efficient forward error control (FEC) to recover discarded cells. In this paper, we present the design and implementation of decoding equipment for FEC in ATM networks based on a single parity check (SPC) product code using very-large-scale integration (VLSI) technology. FEC allows the destination to reconstruct missing data cells by using redundant parity cells that the source adds to each block of data cells. The functionality of the design has been tested using the Model Sim 5.7cXE Simulation Package. The design has been implemented for a $5{\times}5$ matrix of data cells in a Virtex-E XCV 3200E FG1156 device. The simulation and synthesis results show that the decoding function can be completed in 81 clock cycles with an optimum clock of 56.8 MHz. A test bench was written to study the performance of the decoder, and the results are presented.

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Average Repair Read Cost of Linear Repairable Code Ensembles (선형 재생 부호 앙상블의 평균 복구 접속 비용)

  • Park, Jin Soo;Kim, Jung-Hyun;Park, Ki-Hyeon;Song, Hong-Yeop
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39B no.11
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    • pp.723-729
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    • 2014
  • In this paper, we derive the average repair bandwidth and/or read cost for arbitrary repairable linear code ensembles. The repair bandwidth and read cost are the required amount of data and access number of nodes to restore a failed node, respectively. Here, the repairable linear code ensemble is given by such parameters as the number k of data symbols, the number m of parity symbols, and their degree distributions. We further assume that the code is systematic, and no other constraint is assumed, except possibly that the exact repair could be done by the parity check-sum relation with fully connected n=k+m storages. This enables one to apply the result of this paper directly to any randomly constructed codes with the above parameters, such as linear fountain codes. The final expression of the average repair read cost shows that it is highly dependent on the degree distribution of parity symbols, and also the values n and k.