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Victor Zyablov - One of the best experts on this subject based on the ideXlab platform.
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Generalized Concatenated Codes with soft decoding of inner and outer Codes
2016 International Symposium on Information Theory and Its Applications (ISITA), 2016Co-Authors: Igor Zhilin, Alexey Kreschuk, Victor ZyablovAbstract:In this paper we propose a generalized Concatenated Code (GC Code) construction based on shortened Reed-Solomon inner Codes and nonbinary LDPC outer Codes. We also propose a soft-input deCoder for this construction that makes use of soft-input soft-output decoding of both inner and outer Codes. We show that this construction gives significant coding gain. We also compared it to generalized error-location Codes with Reed-Solomon component Codes and hard-decision decoding. We believe that the proposed Code could be used in modern and future radio communication systems.
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LDPC Code construction as a generalized Concatenated Code
2014 XIV International Symposium on Problems of Redundancy in Information and Control Systems, 2014Co-Authors: Igor Zhilin, Victor ZyablovAbstract:We propose a construction of general Concatenated Code that uses low-density parity check Codes as component Codes. This construction itself can also be considered as low-density parity-check Code and deCoded using Belief Propagation algorithm. Performances of several deCoders are compared; it's shown that this Code can be efficiently deCoded by proposed soft decoding algorithm or combining BP and proposed algorithm.
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Embedded space-time block Codes for Concatenated systems
2014 XIV International Symposium on Problems of Redundancy in Information and Control Systems, 2014Co-Authors: Alexey Kreshchuk, Victor ZyablovAbstract:In this paper we propose new Coded modulation for multiple-input and multiple-output (MIMO) communication systems. This Coded modulation is a generalised Concatenated Code. Its inner Code is embedded Golden Code which we introduce in this paper with a decoding algorithm. Its outer Code is a product Code with component Reed-Solomon Code. We use iterative decoding algorithm for this product Code. The performance of the proposed system is estimated with a computer simulation.
Jianguo Yuan - One of the best experts on this subject based on the ideXlab platform.
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Analysis on a Novel Concatenated Code for Optical Transmission Systems
Advanced Materials Research, 2013Co-Authors: Jianguo Yuan, Chan Yuan Li, Qing Zhen TongAbstract:A novel RS(255,239)+BCH(3860,3824) Concatenated Code with 7.70% redundancy for long-haul optical transmission systems is constructed and analyzed through the theoretical analysis of the relevant Concatenated Code. The simulation analysis shows that the novel Concatenated Code, compared with the RS(255,239)+CSOC(k0/n0=6/7,J=8) Code in ITU-T G.75.1, has a lower redundancy and better error-correction performance. In addition, the net coding gain (NCG) of the novel Concatenated Code is respectively more 0.44dB and 0.47dB than that of BCH(3860,3824)+ BCH(2040,1930) Code and RS(255,239)+CSOC(k0/n0 =6/7, J=8) Code in ITU-T G.75.1 at the third iteration for the bit error rate (BER) of 10-12. As a result, the novel Concatenated Code can be better suitable for long-haul optical transmission systems.
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a novel Concatenated Code based on the improved scg ldpc Code for optical transmission systems
Optoelectronics Letters, 2013Co-Authors: Jianguo Yuan, Lin Wang, Sheng Huang, Yong WangAbstract:Based on the optimization and improvement for the construction method of systematically constructed Gallager (SCG) (4, k) Code, a novel SCG low density parity check (SCG-LDPC)(3969, 3720) Code to be suitable for optical transmission systems is constructed. The novel SCG-LDPC (6561,6240) Code with Code rate of 95.1% is constructed by increasing the length of SCG-LDPC (3969,3720) Code, and in a way, the Code rate of LDPC Codes can better meet the high requirements of optical transmission systems. And then the novel Concatenated Code is constructed by concatenating SCG-LDPC(6561,6240) Code and BCH(127,120) Code with Code rate of 94.5%. The simulation results and analyses show that the net coding gain (NCG) of BCH(127,120)+SCG-LDPC(6561,6240) Concatenated Code is respectively 2.28 dB and 0.48 dB more than those of the classic RS(255,239) Code and SCG-LDPC(6561,6240) Code at the bit error rate (BER) of 10−7.
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Comparative analysis on the performance of two Concatenated Codes for high-speed long-haul optical communication systems
Optoelectronics Letters, 2012Co-Authors: Jianguo Yuan, Wen-juan Bi, Song-lin Ou, Chan Yuan LiAbstract:After the development trend of high-speed long-haul optical communication systems and the theory of the Concatenated Code are analyzed, the comparative researches on the performances of the two Concatenated Codes of the inner-outer type and the improved interleaving type are performed in detail. The theoretical analyses and simulation results show that the inner-outer type Concatenated Code has the greater redundancy, and the improved interleaving type Concatenated Code is a superior Concatenated Code with the advantages of the better error correction performance, moderate redundancy and easy implementation. As a result, the improved interleaving type Concatenated Code can be better used in high-speed long-haul optical communication systems.
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Forward error correction Concatenated Code in DWDM systems
Frontiers of Optoelectronics in China, 2008Co-Authors: Jianguo Yuan, Ze Jiang, Wenwei YeAbstract:The three Concatenated coding schemes of the inner-outer type, the parallel type and the consecutive type to improve the current forward error correction (FEC) coding technologies are proposed for dense wavelength-division multiplexing (DWDM) systems, after introducing the development trend of DWDM optical communication systems. The Concatenated Code is theoretically analyzed. The theoretical analyses and simulation results show that inner-outer Concatenated Code has a greater redundancy and the decoding of parallel Concatenated Code is too complex. However, consecutive Concatenated Code is superior coding scheme with advantages such as better error correction performance, moderate redundancy and easy implementation, therefore it could be better used in high-speed and long-haul DWDM systems.
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a novel super fec Code based on Concatenated Code for high speed long haul optical communication systems
Optics Communications, 2007Co-Authors: Jianguo Yuan, Ze Jiang, Wenwei Ye, Wei WangAbstract:Abstract The structures of the novel super forward error correction (Super-FEC) Code type based on the Concatenated Code for high-speed long-haul optical communication systems are studied in this paper. The Reed–Solomon (RS) (255, 239) + Bose–Chaudhuri–Hocguenghem (BCH) (1023, 963) Concatenated Code is presented after the characteristics of the Concatenated Code and the two Super-FEC Code type presented in ITU-T G.975.1 have theoretically been analyzed, the simulation result shows that this novel Code type, compared with the RS (255, 239) + convolutional-self-orthogonal-Code (CSOC) (k0/n0 = 6/7, J = 8) Code in ITU-T G.975.1, has a lower redundancy and better error-correction capabilities, and its net coding gain (NCG) at the third iteration is 0.57 dB more than that of RS (255, 239) + CSOC (k0/n0 = 6/7, J = 8) Code in ITU-T G.975.1 at the third iteration for the bit error rate (BER) of 10−12. Therefore, the novel Code type can better be used in long-haul, larger capacity and higher bit-rate optical communication systems. Furthermore, the design and implementation of the novel Concatenated Code type are also discussed.
M. Bossert - One of the best experts on this subject based on the ideXlab platform.
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Low-Area Reed Decoding in a Generalized Concatenated Code Construction for PUFs
2015 IEEE Computer Society Annual Symposium on VLSI, 2015Co-Authors: Matthias Hiller, Ludwig Kürzinger, Georg Sigl, Sven Müelich, Sven Puchinger, M. BossertAbstract:Physical Unclonable Functions (PUFs) enable secure key storage for integrated circuits and FPGAs. PUF responses are noisy such that error correction is required to generate stable cryptographic keys. One popular approach is to use error-correcting Codes. We present an area-optimized VLSI implementation of a recent Generalized Concatenated (GC) Code construction using Reed-Muller Codes. Reed-Muller Codes have the advantage that there exist very efficient deCoders. Our new Reed decoding implementation makes extensive use of a circular shift register. The functionality is extended so that it can also handle erasure symbols to improve the error correction capability. The overall GC Code deCoder occupies less than 110 slices and two block RAMs on an entry-level FPGA, and has a key error probability of 1.5 × 10-9. The slice count is reduced by 50% compared to the reference implementation.
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Collaborative Decoding of Interleaved Reed–Solomon Codes and Concatenated Code Designs
IEEE Transactions on Information Theory, 2009Co-Authors: G. Schmidt, V.r. Sidorenko, M. BossertAbstract:Interleaved Reed-Solomon Codes are applied in numerous data processing, data transmission, and data storage systems. They are generated by interleaving several Codewords of ordinary Reed-Solomon Codes. Usually, these Codewords are deCoded independently by classical algebraic decoding methods. However, by collaborative algebraic decoding approaches, such interleaved schemes allow the correction of error patterns beyond half the minimum distance, provided that the errors in the received signal occur in bursts. In this work, collaborative decoding of interleaved Reed-Solomon Codes by multisequence shift-register synthesis is considered and analyzed. Based on the framework of interleaved Reed-Solomon Codes, Concatenated Code designs are investigated, which are obtained by interleaving several Reed-Solomon Codes, and concatenating them with an inner Code.
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Concatenated Code Designs withOuter Interleaved Reed-Solomon Codes and Inner Tailbiting Convolutional Codes
7th International ITG Conference on Source and Channel Coding, 2008Co-Authors: G. Schmidt, V.r. Sidorenko, Christian Senger, M. BossertAbstract:Concatenated Code Designs with outer Interleaved Reed-Solomon (IRS) Codes and inner convolutional Codes are applied in various technical communication standards like the Consultative Committee for Space Data Systems (CCSDS) Telemetry channel coding standard, the Digital Video Broadcasting (DVB) standards as well as in the Digital Subscriber Line (DSL) standard. In this paper, we present a variant of the CCSDS coding scheme, which uses tailbiting convolutional Codes instead of one single convolutional Code to protect the symbols of the outer IRS Code. This modified coding scheme possesses the same Code parameters as the original CCSDS scheme, but the special error patterns obtained from the inner deCoder allow for using collaborative strategies for decoding the outer IRS Code beyond half the minimum distance.
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Collaborative Decoding of Interleaved Reed-Solomon Codes and Concatenated Code Designs
arXiv: Information Theory, 2006Co-Authors: G. Schmidt, V.r. Sidorenko, M. BossertAbstract:Interleaved Reed-Solomon Codes are applied in numerous data processing, data transmission, and data storage systems. They are generated by interleaving several Codewords of ordinary Reed-Solomon Codes. Usually, these Codewords are deCoded independently by classical algebraic decoding methods. However, by collaborative algebraic decoding approaches, such interleaved schemes allow the correction of error patterns beyond half the minimum distance, provided that the errors in the received signal occur in bursts. In this work, collaborative decoding of interleaved Reed-Solomon Codes by multi-sequence shift-register synthesis is considered and analyzed. Based on the framework of interleaved Reed-Solomon Codes, Concatenated Code designs are investigated, which are obtained by interleaving several Reed-Solomon Codes, and concatenating them with an inner block Code.
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Interleaved Reed-Solomon Codes in Concatenated Code designs
IEEE Information Theory Workshop 2005., 2005Co-Authors: G. Schmidt, V.r. Sidorenko, M. BossertAbstract:Interleaved Reed-Solomon Codes allow the correction of errors beyond half the minimum Code distance if the errors are not distributed independently in the received signal but occur in bursts. Therefore, these Codes are mainly considered for applications in channels, that cause correlated error patterns, i.e., error bursts. However, they can also be quite interesting for memoryless channels causing independent random errors, if they are applied in Concatenated Code designs. We present such Concatenated Codes with several outer Reed-Solomon Codewords and demonstrate the gain, that can be obtained by interleaved Reed-Solomon decoding in comparison to independently decoding the several words of the underlying Reed-Solomon Codes.
Nie Mingxin - One of the best experts on this subject based on the ideXlab platform.
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Application and Analysis of the RS + Convolutional Concatenated Code in the VHF Communication
Journal of Wuhan University of Technology, 2020Co-Authors: Nie MingxinAbstract:Aiming at the data transmission in the VHF communication,a project of the RS+Convolutional Concatenated Code was presented.The performance of the RS+Convolutional Concatenated Code in AWGN channel was simulated and analyzed based on Matlab/Simulink.The simulation result shows that the RS+Convolutional Concatenated Code can reduce the bit error rate of the system below 10-5 grade(including 10-5)when the SNR is low,.It meets the requirement of the VHF communication.The RS+Convolutional Concatenated Code is an efficient error correcting Code and it is of great value in practice.
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A Novel RS+Convolutional Concatenated Code in VHF Communication System
2008 IEEE International Conference on Networking Sensing and Control, 2008Co-Authors: Nie Mingxin, Dai PengAbstract:In order to improve the quality of data transmission in VHF communication system, a novel RS+Convolutional Concatenated Code scheme is presented in this paper. Also the performance of RS+Convolutional Concatenated Code in AWGN channel is analyzed. The simulation result shows that RS+Convolutional Concatenated Code can decrease the BER (Bit Error Rate) of systems to an order of 10-5 under the condition of low SNR (Signal to Noise Ratio), which can meet the requirement of VHF communication. In conclusion, RS+Convolutional Concatenated error correcting Code is very efficient and useful in practice.
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ICNSC - A Novel RS+Convolutional Concatenated Code in VHF Communication System
2008 IEEE International Conference on Networking Sensing and Control, 2008Co-Authors: Nie Mingxin, Dai PengAbstract:In order to improve the quality of data transmission in VHF communication system, a novel RS+Convolutional Concatenated Code scheme is presented in this paper. Also the performance of RS+Convolutional Concatenated Code in AWGN channel is analyzed. The simulation result shows that RS+Convolutional Concatenated Code can decrease the BER (Bit Error Rate) of systems to an order of 10-5 under the condition of low SNR (Signal to Noise Ratio), which can meet the requirement of VHF communication. In conclusion, RS+Convolutional Concatenated error correcting Code is very efficient and useful in practice.
Dai Peng - One of the best experts on this subject based on the ideXlab platform.
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A Novel RS+Convolutional Concatenated Code in VHF Communication System
2008 IEEE International Conference on Networking Sensing and Control, 2008Co-Authors: Nie Mingxin, Dai PengAbstract:In order to improve the quality of data transmission in VHF communication system, a novel RS+Convolutional Concatenated Code scheme is presented in this paper. Also the performance of RS+Convolutional Concatenated Code in AWGN channel is analyzed. The simulation result shows that RS+Convolutional Concatenated Code can decrease the BER (Bit Error Rate) of systems to an order of 10-5 under the condition of low SNR (Signal to Noise Ratio), which can meet the requirement of VHF communication. In conclusion, RS+Convolutional Concatenated error correcting Code is very efficient and useful in practice.
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ICNSC - A Novel RS+Convolutional Concatenated Code in VHF Communication System
2008 IEEE International Conference on Networking Sensing and Control, 2008Co-Authors: Nie Mingxin, Dai PengAbstract:In order to improve the quality of data transmission in VHF communication system, a novel RS+Convolutional Concatenated Code scheme is presented in this paper. Also the performance of RS+Convolutional Concatenated Code in AWGN channel is analyzed. The simulation result shows that RS+Convolutional Concatenated Code can decrease the BER (Bit Error Rate) of systems to an order of 10-5 under the condition of low SNR (Signal to Noise Ratio), which can meet the requirement of VHF communication. In conclusion, RS+Convolutional Concatenated error correcting Code is very efficient and useful in practice.