• Title/Summary/Keyword: Error Control Codes

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Error Control Performance of Punctured convolutional Codes for Digital Mobile Radio Channels (이동 무선 통신 채널에 대한 소거식 길쌈부호의 오류제어특성)

  • Lee, Sang-Gon;Moon, Sang-Jae;Kim, Jae-Moung
    • Proceedings of the KIEE Conference
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    • 1987.07b
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    • pp.884-888
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    • 1987
  • Error control performance of punctured convolutional codes is considered in digital mobile radio communication wherein GMSK and DQPSK are assumed to be employed as a modulation scheme. Bit error rates of the two modulation systems with the punctured convolutional code are computed, and compared each other, some good punctured convolutional codes are searched and listed fork practical application to the digital mobile radio communication.

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Nonlinear Product Codes and Their Low Complexity Iterative Decoding

  • Kim, Hae-Sik;Markarian, Garik;Da Rocha, Valdemar C. Jr.
    • ETRI Journal
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    • v.32 no.4
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    • pp.588-595
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    • 2010
  • This paper proposes encoding and decoding for nonlinear product codes and investigates the performance of nonlinear product codes. The proposed nonlinear product codes are constructed as N-dimensional product codes where the constituent codes are nonlinear binary codes derived from the linear codes over higher order alphabets, for example, Preparata or Kerdock codes. The performance and the complexity of the proposed construction are evaluated using the well-known nonlinear Nordstrom-Robinson code, which is presented in the generalized array code format with a low complexity trellis. The proposed construction shows the additional coding gain, reduced error floor, and lower implementation complexity. The (64, 24, 12) nonlinear binary product code has an effective gain of about 2.5 dB and 1 dB gain at a BER of $10^{-6}$ when compared to the (64, 15, 16) linear product code and the (64, 24, 10) linear product code, respectively. The (256, 64, 36) nonlinear binary product code composed of two Nordstrom-Robinson codes has an effective gain of about 0.7 dB at a BER of $10^{-5}$ when compared to the (256, 64, 25) linear product code composed of two (16, 8, 5) quasi-cyclic codes.

AN IDENTITY BETWEEN THE m-SPOTTY ROSENBLOOM-TSFASMAN WEIGHT ENUMERATORS OVER FINITE COMMUTATIVE FROBENIUS RINGS

  • Ozen, Mehmet;Shi, Minjia;Siap, Vedat
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.809-823
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    • 2015
  • This paper is devoted to presenting a MacWilliams type identity for m-spotty RT weight enumerators of byte error control codes over finite commutative Frobenius rings, which can be used to determine the error-detecting and error-correcting capabilities of a code. This provides the relation between the m-spotty RT weight enumerator of the code and that of the dual code. We conclude the paper by giving three illustrations of the results.

Variable Iteration Decoding Control Method for Iteration Codes (Iteration 부호의 가변반복복호 제어기법)

  • 백승재;이성우;박진수
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2003.05a
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    • pp.753-757
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    • 2003
  • In this paper, We propose an efficient iteration decoding control method with variable iteration decoding for iteration codes decoding. As the number of iterations increases, the bit error rate and frame error rate of the decoder decrease and the incremental improvement gradually diminishes. However, as the iteration decoding number is increase, it require much delay and amount of processing for decoding. Thus we propose variable iteration control method to adapt variation of channel using Frame Error-Check indicator. Therefore, the CRC method requires the fewest iterations and less computation than the CE method and the SCR methods.

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UEP Effect Analysis of LDPC Codes for High-Quality Communication Systems (고품질 통신 시스템을 위한 LDPC 부호의 UEP 성능 분석)

  • Yu, Seog Kun;Joo, Eon Kyeong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.38A no.6
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    • pp.471-478
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    • 2013
  • Powerful error control and increase in the number of bits per symbol should be provided for future high-quality communication systems. Each message bit may have different importance in multimedia data. Hence, UEP(unequal error protection) may be more efficient than EEP(equal error protection) in such cases. And the LDPC(low-density parity-check) code shows near Shannon limit error correcting performance. Therefore, the effect of UEP with LDPC codes is analyzed for high-quality message data in this paper. The relationship among MSE(mean square error), BER(bit error rate) and the number of bits per symbol is analyzed theoretically. Then, total message bits in a symbol are classified into two groups according to importance to prove the relationship by simulation. And the UEP performance is obtained by simulation according to the number of message bits in each group with the constraint of a fixed total code rate and codeword length. As results, the effect of UEP with the LDPC codes is analyzed by MSE according to the number of bits per symbol, the ratio of the message bits, and protection level of the classified groups.

Design of an Encoder and Decoder Using Reed-Muller Code (Reed-Muller 부호의 인코더 및 디코더 설계)

  • 김영곤;강창언
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1984.10a
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    • pp.15-18
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    • 1984
  • The majority - logic decoding algorithm for Geometry code is more simply imlemented than the known decoding algorithm for BCH codes. Thus, the moderate code word, Geometry codes provide rather effective error control. The purpose of this paper is to investigate the Reed - Muller code and to design the encoder and decoder circuit and to find the performance for (15, 11) Reed - muller code. Experimental results show that the system has not only single error - correcting ability but also good performance.

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Variable Iteration Decoding Control Method of Iteration Codes using CRC-code (CRC부호를 이용한 반복복호부호의 반복복호 제어기법)

  • Baek, Seung-Jae;Park, Jin-Soo
    • The KIPS Transactions:PartC
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    • v.11C no.3
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    • pp.353-360
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    • 2004
  • In this Paper, We propose an efficient iteration decoding control method with variable iteration decoding of iteration codes decoding using Cyclic Redundancy Check. As the number of iterations increases, the bit error rate and frame error rate of the decoder decrease and the incremental improvement gradually diminishes. However, when the iteration decoding number is increased, it require much delay and amount of processing time for decoding. Also, It can be observed the error nor that the performance cannot be improved even though increasing of the number of iterations and SNR. So, Suitable number of iterations for stopping criterion is required. we propose variable iteration control method to adapt variation of channel using Frame Error-Check indicator. Therefore, the amount of computation and the number of iterations required for iteration decoding with CRC method can be reduced without sacrificing performance.

Performance Analysis of FEC for Low Power Wireless Sensor Networks (저전력 무선 센서 네트워크를 위한 FEC 성능 분석)

  • Lee, Min-Goo;Park, Yong-Guk;Jung, Kyung-Kwon;Yoo, Jun-Jae;Sung, Ha-Gyeong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2010.05a
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    • pp.882-885
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    • 2010
  • In view of the severe energy constraint in sensor networks, it is important to use the error control scheme of the energy efficiently. In this paper, we presented FEC (Forward Error Correcting) codes in terms of their power consumption. One method of FEC is RS (Reed-Solomon) coding, which uses block codes. RS codes work by adding extra redundancy to the data. The encoded data can be stored or transmitted. It could have errors introduced, when the encoded data is recovered. The added redundancy allows a decoder to detect which parts of the received data is corrupted, and corrects them. The number of errors which are able to be corrected by RS code can determine by added redundancy. We could predict the lifetime of RS codes which transmitted at 32 byte a 1 minutes. RS(15, 13), RS(31, 27), RS(63, 57), RS(127,115), and RS(255,239) can keep the days of 138, 132, 126, 111, and 103 respectively.

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ADAPTIVE SLIDING WINDOW METHOD FOR TURBO CODES IN CDMA CELLULAR SYSTEM WITH POWER CONTROL ERROR

  • Park, Sook-Min;Yoon, Sang-Sic;Kim, Sang-Wu;Lee, Kwyro
    • Proceedings of the IEEK Conference
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    • 2003.07a
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    • pp.565-568
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    • 2003
  • This paper presents a method that can be used to reduce the decoding computational complexity in turbo codes. To reduce the decoding complexity we proposed an adaptive sliding window method which control the learning period of Viterbi sliding window method depending on channel signal to interference ratio (SIR). When received signal to interference ratio (SIR) is relatively high, we can reduce the decoding complexity without a noticeable degradation of BER performance at CDMA cellular system with power control error.

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Performance Analysis of Double-layered ARQ

  • Uhm, Yong-Hun;Park, Cheon-Won
    • Proceedings of the IEEK Conference
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    • 2001.06a
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    • pp.85-88
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    • 2001
  • In this paper, we propose a retransmission based error control scheme in which a stop-and-wait ARQ is simultaneously performed in two adjacent layers for the node-to-node error control. We develop an analytical numerical method to calculate the probability of error remains and the moments of the high layer message delay time at steady state. Using the analytical method, we investigate the performance of double-layered ARQ scheme with respect to the properties of the employed CRC codes and the characteristics of the involved channel.

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