• Title/Summary/Keyword: 천공 부호

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Sufficient Conditions for the Existence of an (n, 1) Mother Code and Its Puncturing Pattern to Generating a Given Convolutional Code (임의의 생성다항식 행렬을 갖는 길쌈부호도 (n, 1) 마더부호의 천공으로 생성 가능한가?)

  • Chung, Habong;Seong, Jinwoo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.41 no.4
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    • pp.379-386
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    • 2016
  • Puncturing is the most common way of increasing the rate of convolutional codes. The puncturing process is done to the original code called the mother code by a specific puncturing pattern. In this article, we investigate into the question whether any convolutional code is obtainable by puncturing some (n, 1) mother codes. We present two sufficient conditions for the mother code and the puncturing pattern to satisfy in order that the punctured code is equivalent to the given (N, K) convolutional code.

On the Existence of the (2,1) Mother Code of (n,n-1) Convolutional Code ((n,n-1) 길쌈부호에 대한 (2,1) 마더부호의 존재)

  • Jang, Hwan-Seok;Chung, Ha-Bong;Seong, Jin-Woo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.4
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    • pp.165-171
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    • 2014
  • The rate of the channel code can be controlled by various methods. Puncturing is one of the methods of increasing the code rate, and the original code before puncturing is called the mother code. Any (n,k) convolutional code is obtainable by puncturing some mother codes, and the process of finding the mother code is necessary for designing the optimum channel decoder. In this paper, we proved that any (n,n-1) convolutional code has (2,1) mother codes regardless of the puncturing pattern and showed that they must be equivalent.

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.

Recognition of Convolutional Code with Performance Analysis (길쌈 부호 복원 및 성능 분석)

  • Lee, Jae-Hwan;Lee, Hyun;Kang, In-Sik;Yun, Sang-Bom;Park, Cheol-Sun;Song, Young-Joon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37 no.4A
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    • pp.260-268
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    • 2012
  • The use of an error-correcting code is essential in communication systems where the channel is noisy. Unless a receiver has accurate channel coding parameters, it becomes difficult to decode the digitized encoding bits correctly. In this paper, we propose two algorithms for reconstructing convolutional codes: one for general convolutional codes and the other for punctured convolutional codes. And we also verify the algorithms by performing intensive computer simulation in additive white gaussian noise (AWGN) channel.

Performance Analysis of Various Coding Schemes for Storage Systems (저장 장치를 위한 다양한 부호화 기법의 성능 분석)

  • Kim, Hyung-June;Kim, Sung-Rae;Shin, Dong-Joon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.12C
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    • pp.1014-1020
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    • 2008
  • Storage devices such as memories are widely used in various electronic products. They require high-density memory and currently the data has been stored in multi-level format, that results in high error rate. In this paper, we apply error correction schemes that are widely used in communication system to the storage devices for satisfying low bit error rate and high code rate. In A WGN channel with average BER $10^{-5}$ and $5{\times}10^{-6}$, we study error correction schemes for 4-1evel cell to achieve target code rate 0.99 and target BER $10^{-11}$ and $10^{-13}$, respectively. Since block codes may perform better than the concatenated codes for high code rate, and it is important to use less degraded inner code even when many bits are punctured. The performance of concatenated codes using general feedforward systematic convolutional codes are worse than the block code only scheme. The simulation results show that RSC codes must be used as inner codes to achieve good performance of punctured convolutional codes for high code rate.

Collision Performance Improvement in Orthogonal Code Hopping Multiplexing Systems Using Multiple Antennas (다중 안테나를 이용한 직교 부호 도약 다중화 시스템의 성능향상)

  • Jung, Bang-Chul;Lee, Woo-Jae;Park, Yeoun-Sik;Jeon, Seong-Keun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.10
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    • pp.2100-2112
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    • 2011
  • An orthogonal code hopping multiplexing (OCHM) technique has been proposed for accommodating a large number of users with low channel activities than the number of orthogonal codewords through statistical multiplexing in downlink cellular systems. In this paper, a multiple input multiple output (MIMO) antenna based OCHM system is proposed to improve the performance. Each modulated symbol is repeated N times and the N repeated symbols are transmitted simultaneously using N transmit antennas. Through repetitions, the effect of perforations that the OCHM system experiences is decentralized among the repeated symbols and the full perforation probability is significantly reduced. Each receiver detect the transmitted signal using its pre-assigned code hopping pattern. Simulation results show that the proposed scheme saves the required energy for a given frame error rate (FER).

Design of an Area-Efficient Survivor Path Unit for Viterbi Decoder Supporting Punctured Codes (천공 부호를 지원하는 Viterbi 복호기의 면적 효율적인 생존자 경로 계산기 설계)

  • Kim, Sik;Hwang, Sun-Young
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.3A
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    • pp.337-346
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    • 2004
  • Punctured convolutional codes increase transmission efficiency without increasing hardware complexity. However, Viterbi decoder supporting punctured codes requires long decoding length and large survivor memory to achieve sifficiently low bit error rate (BER), when compared to the Viterbi decoder for a rate 1/2 convolutional code. This Paper presents novel architecture adopting a pipelined trace-forward unit reducing survivor memory requirements in the Viterbi decoder. The proposed survivor path architecture reduces the memory requirements by removing the initial decoding delay needed to perform trace-back operation and by accelerating the trace-forward process to identify the survivor path in the Viterbi decoder. Experimental results show that the area of survivor path unit has been reduced by 16% compared to that of conventional hybrid survivor path unit.

Reconstruction of Interleaver for Punctured Channel Coded Signals (천공 채널 부호화된 신호에 대한 인터리버 복원)

  • Kim, Kyeongjun;Jang, Yeonsoo;Yoon, Dongweon
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2014.05a
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    • pp.550-552
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    • 2014
  • In this paper, we propose an interleaver reconstruction method for punctured channel coded signals. We calculate the ratio of the number of '1' bits to the number of '0' bits in the matrix which is generated by a Gaussian elimination process. Then, we can reconstruct an interleaver by checking the minimum values of the ratio that have a smaller ratio than a certain threshold. We validate the proposed method through computer simulations.

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Analysis of Turbo Coding and Decoding Algorithm for DVB-RCS Next Generation (DVB-RCS Next Generation을 위한 터보 부복호화 방식 분석)

  • Kim, Min-Hyuk;Park, Tae-Doo;Lim, Byeong-Su;Lee, In-Ki;Oh, Deock-Gil;Jung, Ji-Won
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.9C
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    • pp.537-545
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    • 2011
  • This paper analyzed performance of three dimensional turbo code and turbo ${\Phi}$ codes proposed in the next generation DVB-RCS systems. In the view of turbo ${\Phi}$ codes, we proposed the optimal permutation and puncturing patterns for triple binary input data. We also proposed optimal post-encoder types and interleaving algorithm for three dimensional turbo codes. Based on optimal parameters, we simulated both turbo codes, and we confirmed that the performance of turbo ${\Phi}$ codes are better than that of three dimensional turbo codes. However, the complexity of turbo ${\Phi}$ is more complex than that of three dimensional turbo codes by 18%.

Performance Analysis of the Adaptive Coding System Based on Received SNR over a Rayleigh Fading Channel (레일레이 페이딩 채널에서 수신신호의 신호대잡음비에 근거한 적응부호화 시스템의 성능 분석)

  • 허성호;이재홍
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.7B
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    • pp.1270-1281
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    • 2000
  • 본 논문에서는 수신신호의신호대잡음비를 이용하여 작동되는 적응부호화 시스템을 레일레이 페이딩 채널 환경에서 분석한다. 분석에서는 레일레이 페이딩 채널을 수신신호의 신호대잡음비를 K개의 구간으로 나누어서 유한 상태 마르코프 채널로 모델링한다. 채널 상태를 예측하는 과정에서 발생하는 오류확률을 고려하여 적응부호화 시스템의 평균 BER과 throughput이 계산된다. 본 논문에서 제안한 분석 방법을 이용하여 천공 길쌈부호를 이용한는 적응부호화 시스템의 성능을 분석한 결과가 예제로 보여진다.

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