• Title/Summary/Keyword: Linear decoding

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Channel Decoding Scheme in Digital Communication Systems (디지털 통신 시스템의 채널 복호 방식)

  • Shim, Yong-Geol
    • The Journal of the Convergence on Culture Technology
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    • v.7 no.3
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    • pp.565-570
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    • 2021
  • A soft-decision decoding scheme of a channel code for correcting an error occurring in a receiver of a digital communication systems is proposed. A method for efficiently decoding by use of the linear and arithmetic structure of linear block codes is presented. In this way, the probability of decoding errors has been reduced. In addition, it is possible to reduce the complexity of decoding as well. Sufficient conditions for achieving optimal decoding has been derived. As a result, the sufficient conditions enable efficient search for candidate codewords. With the proposed decoding scheme, we can effectively perform the decoding while lowering the block error probability.

Exact Decoding Probability of Random Linear Network Coding for Tree Networks

  • Li, Fang;Xie, Min
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.2
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    • pp.714-727
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    • 2015
  • The hierarchical structure in networks is widely applied in many practical scenarios especially in some emergency cases. In this paper, we focus on a tree network with and without packet loss where one source sends data to n destinations, through m relay nodes employing random linear network coding (RLNC) over a Galois field in parallel transmission systems. We derive closed-form probability expressions of successful decoding at a destination node and at all destination nodes in this multicast scenario. For the convenience of computing, we also propose an upper bound for the failure probability. We then investigate the impact of the major parameters, i.e., the size of finite fields, the number of internal nodes, the number of sink nodes and the channel failure probability, on the decoding performance with simulation results. In addition, numerical results show that, under a fixed exact decoding probability, the required field size can be minimized. When failure decoding probabilities are given, the operation is simple and its complexity is low in a small finite field.

A Soft-Decision Decoding Algorithm for Linear Binary Block Codes (線形 2元 블럭 符號를 위한 軟判定 復號 알고리듬)

  • Shim, Yong-Geol;Lee, Choong-Woong
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.2
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    • pp.9-15
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    • 1990
  • A soft-decision decoding algorithm for linear binary block codes is proposed, for minimizing the block error probability. To compare the proposed algorithm with already established decoding methods, computer simulations are performed for the (7,4)Hamming code and the (23,12) Golay code. The average number of hard-decision decoding is always less then 2, and approaches to 1 when the signal to noise ratio is sufficiently large. These results show that the proposed algorithm reduces the decoding complexity.

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A Differential SFBC-OFDM for a DMB System with Multiple Antennas

  • Woo, Kyung-Soo;Lee, Kyu-In;Paik, Jong-Ho;Park, Kyung-Won;Yang, Won-Young;Cho, Yong-Soo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.2A
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    • pp.195-202
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    • 2007
  • A differential space-frequency block code - orthogonal frequency division multiplexing (SFBC-OFDM) scheme as a multiple-input multiple-output (MIMO) transmission technique for next-generation digital multimedia broadcasting (DMB) is proposed in this paper. A linear decoding method for differential SFBC, which performs comparably to the ML decoding method, is derived for the cases of two or four transmit antennas. A simple table lookup method is proposed to improve the efficiency of the encoding/decoding process of DSFBC for the case of non-constant modulus constellations. A DMB MIMO channel model, developed by extending the 3GPP MIMO model to fit DMB environments, is used to compare BER performances of differential space block code schemes for various channel environments. Simulation results show that the differential SFBC-16QAM scheme using either four transmit antennas with one receive antenna or two transmit antennas with two receive antennas achieves a performance gain of 12dB than that of the conventional DQPSK scheme, even with a data rate twice faster.

Space-Time Block Coding Techniques for MIMO 2×2 System using Walsh-Hadamard Codes

  • Djemamar, Younes;Ibnyaich, Saida;Zeroual, Abdelouhab
    • Journal of information and communication convergence engineering
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    • v.20 no.1
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    • pp.1-7
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    • 2022
  • Herein, a new space-time block coding technique is proposed for a MIMO 2 × 2 multiple-input multiple output (MIMO) system to minimize the bit error rate (BER) in Rayleigh fading channels with reduced decoding complexity using ZF and MMSE linear detection techniques. The main objective is to improve the service quality of wireless communication systems and optimize the number of antennas used in base stations and terminals. The idea is to exploit the correlation product technique between both information symbols to transmit per space-time block code and their own orthogonal Walsh-Hadamard sequences to ensure orthogonality between both symbol vectors and create a full-rate orthogonal STBC code. Using 16 quadrature amplitude modulation and the quasi-static Rayleigh channel model in the MATLAB environment, the simulation results show that the proposed space-time block code performs better than the Alamouti code in terms of BER performance in the 2 × 2 MIMO system for both cases of linear decoding ZF and MMSE.

Minimum-Distance Decoding of Linear Block Codes with Soft-Decision (연판정에 의한 선형 블록 부호의 최소 거리 복호법)

  • 심용걸;이충웅
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.30A no.7
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    • pp.12-18
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    • 1993
  • We have proposed a soft-decision decoding method for block codes. With careful examinations of the first hard-decision decoded results, The candidate codewords are efficiently searched for. Thus, we can reduce the decoding complexity (the number of hard-decision decodings) and lower the block error probability. Computer simulation results are presented for the (23,12) Golay code. They show that the decoding complexity is considerably reduced and the block error probability is close to that of the maximum likelihood decoder.

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Neuronal Spike Train Decoding Methods for the Brain-Machine Interface Using Nonlinear Mapping (비선형매핑 기반 뇌-기계 인터페이스를 위한 신경신호 spike train 디코딩 방법)

  • Kim, Kyunn-Hwan;Kim, Sung-Shin;Kim, Sung-June
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.7
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    • pp.468-474
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    • 2005
  • Brain-machine interface (BMI) based on neuronal spike trains is regarded as one of the most promising means to restore basic body functions of severely paralyzed patients. The spike train decoding algorithm, which extracts underlying information of neuronal signals, is essential for the BMI. Previous studies report that a linear filter is effective for this purpose and there is no noteworthy gain from the use of nonlinear mapping algorithms, in spite of the fact that neuronal encoding process is obviously nonlinear. We designed several decoding algorithms based on the linear filter, and two nonlinear mapping algorithms using multilayer perceptron (MLP) and support vector machine regression (SVR), and show that the nonlinear algorithms are superior in general. The MLP often showed unsatisfactory performance especially when it is carelessly trained. The nonlinear SVR showed the highest performance. This may be due to the superiority of the SVR in training and generalization. The advantage of using nonlinear algorithms were more profound for the cases when there are false-positive/negative errors in spike trains.

An Efficient Algorithm for Soft-Decision Decoding of Linear Block Codes (선형 블록 부호의 연판정 복호를 위한 효율적인 알고리듬)

  • Shim, Yong-Geol
    • The KIPS Transactions:PartC
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    • v.10C no.1
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    • pp.27-32
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    • 2003
  • An efficient soft-decision decoding algorithm for binary block codes it proposed. The proposed soft-decision decoding algorithm is implemented by a series of hard-decision decoding process. By the hard-decision decoding result, the candidate codewords are efficiently searched for A new decoding method, which prevents the missing of the candidate codeword, is proposed. Also, the method fir reducing complexity is developed. This method removes the practical complexity increase caused by the improved algorithm. There facts are confirmed by the simulation results for binary (63, 36) BCH code.

LLR Based Generalization of Soft Decision Iterative Decoding Algorithms for Block Turbo Codes (LLR 기반 블록 터보 부호의 연판정 복호 알고리즘 일반화)

  • Im, Hyun-Ho;Kwon, Kyung-Hoon;Heo, Jun
    • Journal of Broadcast Engineering
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    • v.16 no.6
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    • pp.1026-1035
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    • 2011
  • This paper presents generalization and application for the conventional SISO decoding algorithm of Block Turbo Codes. R. M. Pyndiah suggested an iterative SISO decoding algorithm for Product Codes, two-dimensionally combined linear block codes, on AWGN channel. It wascalled Block Turbo Codes. Based on decision of Chase algorithm which is SIHO decoding method, SISO decoder for BTC computes soft decision information and transfers the information to next decoder for iterative decoding. Block Turbo Codes show Shannon limit approaching performance with a little iteration at high code rate on AWGN channel. In this paper we generalize the conventional decoding algorithm of Block Turbo Codes, under BPSK modulation and AWGN channel transmission assumption, to the LLR value based algorithm and suggest an application example such as concatenated structure of LDPC codes and Block Turbo Codes.

Performance Evaluation of Cochlear Implants Speech Processing Strategy Using Neural Spike Train Decoding (Neural Spike Train Decoding에 기반한 인공와우 어음처리방식 성능평가)

  • Kim, Doo-Hee;Kim, Jin-Ho;Kim, Kyung-Hwan
    • Journal of Biomedical Engineering Research
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    • v.28 no.2
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    • pp.271-279
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    • 2007
  • We suggest a novel method for the evaluation of cochlear implant (CI) speech processing strategy based on neural spike train decoding. From formant trajectories of input speech and auditory nerve responses responding to the electrical pulse trains generated from a specific CI speech processing strategy, optimal linear decoding filter was obtained, and used to estimate formant trajectory of incoming speech. Performance of a specific strategy is evaluated by comparing true and estimated formant trajectories. We compared a newly-developed strategy rooted from a closer mimicking of auditory periphery using nonlinear time-varying filter, with a conventional linear-filter-based strategy. It was shown that the formant trajectories could be estimated more exactly in the case of the nonlinear time-varying strategy. The superiority was more prominent when background noise level is high, and the spectral characteristic of the background noise was close to that of speech signals. This confirms the superiority observed from other evaluation methods, such as acoustic simulation and spectral analysis.