• Title/Summary/Keyword: Decoding algorithm

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Simple Power Analysis against RSA Based on Frequency Components (주파수 분석 기반 RSA 단순 전력 분석)

  • Jung, Ji-hyuk;Yoon, Ji-Won
    • Journal of the Korea Institute of Information Security & Cryptology
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    • 제31권1호
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    • pp.1-9
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    • 2021
  • This paper proposes to automate the process of predicting crypto-operations from the power signal generated in RSA decoding process by frequency analysis and K-means algorithm. RSA decoding process is divided into square and multiply operation, and if we can predict the type of operations over time, we will know the RSA key value. After converting the power signal generated in the process of decoding into two-dimensional frequency signal, this paper used K-means algorithm to classify the frequency vector according to the type of operation. these classified frequency vector were used to predict the types of operations.

Convergence of Min-Sum Decoding of LDPC codes under a Gaussian Approximation (MIN-SUM 복호화 알고리즘을 이용한 LDPC 오류정정부호의 성능분석)

  • Heo, Jun
    • The Journal of Korean Institute of Communications and Information Sciences
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    • 제28권10C호
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    • pp.936-941
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    • 2003
  • Density evolution was developed as a method for computing the capacity of low-density parity-check(LDPC) codes under the sum-product algorithm [1]. Based on the assumption that the passed messages on the belief propagation model can be approximated well by Gaussian random variables, a modified and simplified version of density evolution technique was introduced in [2]. Recently, the min-sum algorithm was applied to the density evolution of LDPC codes as an alternative decoding algorithm in [3]. Next question is how the min-sum algorithm is combined with a Gaussian approximation. In this paper, the capacity of various rate LDPC codes is obtained using the min-sum algorithm combined with the Gaussian approximation, which gives a simplest way of LDPC code analysis. Unlike the sum-product algorithm, the symmetry condition [4] is not maintained in the min-sum algorithm. Therefore, the variance as well as the mean of Gaussian distribution are recursively computed in this analysis. It is also shown that the min-sum threshold under a gaussian approximation is well matched to the simulation results.

Design and Architecture of Low-Latency High-Speed Turbo Decoders

  • Jung, Ji-Won;Lee, In-Ki;Choi, Duk-Gun;Jeong, Jin-Hee;Kim, Ki-Man;Choi, Eun-A;Oh, Deock-Gil
    • ETRI Journal
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    • 제27권5호
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    • pp.525-532
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    • 2005
  • In this paper, we propose and present implementation results of a high-speed turbo decoding algorithm. The latency caused by (de)interleaving and iterative decoding in a conventional maximum a posteriori turbo decoder can be dramatically reduced with the proposed design. The source of the latency reduction is from the combination of the radix-4, center to top, parallel decoding, and early-stop algorithms. This reduced latency enables the use of the turbo decoder as a forward error correction scheme in real-time wireless communication services. The proposed scheme results in a slight degradation in bit error rate performance for large block sizes because the effective interleaver size in a radix-4 implementation is reduced to half, relative to the conventional method. To prove the latency reduction, we implemented the proposed scheme on a field-programmable gate array and compared its decoding speed with that of a conventional decoder. The results show an improvement of at least five fold for a single iteration of turbo decoding.

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Improved Performance Decoding for LDPC Codes with a Large Number of Short Cycles (다수의 짧은 주기를 가진 LDPC 부호를 위한 향상된 신뢰 전파 복호)

  • Chung, Kyu-Hyuk
    • The Journal of Korean Institute of Communications and Information Sciences
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    • 제33권2C호
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    • pp.173-177
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    • 2008
  • In this paper, we improve performance of Low Density Parity Check (LDPC) codes with adding a large number of short cycles. Short cycles, especially cycles of length 4, degrade performance of LDPC codes if the standard BP (Belief Propagation) decoding is used. Therefore current researches have focused on removing cycles of length 4 for designing good performance LDPC codes. We found that a large number of cycles of length 4 improve performance of LDPC codes if a modified BP decoding is used. We present the modified BP decoding algorithm for LDPC codes with a large number of short cycles. We show that the modified BP decoding performance of LDPC codes with a large number of short cycles is better than the standard BP decoding performance of LDPC codes designed by avoiding short cycles.

Complexity Reduction Method for BSAC Decoder

  • Jeong, Gyu-Hyeok;Ahn, Yeong-Uk;Lee, In-Sung
    • ETRI Journal
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    • 제31권3호
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    • pp.336-338
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    • 2009
  • This letter proposes a complexity reduction method to speed up the noiseless decoding of a bit-sliced arithmetic coding (BSAC) decoder. This scheme fully utilizes the group of consecutive arithmetic-coded symbols known as the decoding band and the significance tree structure sorted in order of significance at every decoding band. With the same audio quality, the proposed method reduces the number of calculations that are performed during the noiseless decoding in BSAC to about 22% of the amount of calculations with the conventional full-search method.

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A burst-error-correcting decoding scheme of multiple trellis-coded $\pi$/4 shift QPSK for mobile communication channels (이동 통신 채널에서 다중 트렐리스 부호화된 $\pi$/4 shift QPSK의 연집 에러 정정 복호 방식)

  • 이정규;송왕철;홍대식;강창언
    • Journal of the Korean Institute of Telematics and Electronics A
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    • 제32A권4호
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    • pp.24-31
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    • 1995
  • In this paper, the dual-mode burst-error-correcting decoding algorithm is adapted to the multiple trellis-coded .pi./4 shift QPSK in order to achieve the improvement of bit error rate (BER) performance over fading channels. The dual-mode adaptive decoder which combines maximum likelihood decoding with a burst detection scheme usually operates as a Viterbi decoder and switches to time diversity error recovery whenever an uncorrectable error pattern is identified. Rayleigh fading channels and Rician fading channels having the Rician parameter K=5dB are used in computer simulation, and the simulation results are compared with those of interleaving techniques. It is shown that under the constraint of the fixed overall memory quantity, the dual-mode adaptive decoding scheme gains an advantage in the BER performance with respect to interleaving strategies.

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Sequential Decoding of Convolutional Codes with Universal Metric over Bursty-Noise Channel (버스트잡음 채널에서 Universal Metric을 이용한 컨벌루션 부호의 축차복호)

  • Moon, Byung-Hyun;Lee, Chae-Wook
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 한국산업정보학회 1997년도 추계학술대회 발표논문집:21세기를 향한 정보통신 기술의 전망
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    • pp.435-449
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    • 1997
  • In this paper, a new metric, universal metric, is Proposed for sequential decoding of convolutional decoding. The complexity of Fano metric for Fano's sequential decoding algorithm is compared with that of the proposed universal metric. Since the Fano metric assumes that it has previous knowledge of channel transition probability, the complexity of Fano metric increases as the assumed channel error probability does not coincide with the true channel error probability. However, the universal metric dose not require the previous knowledge of the channel transition probability since it is estimated on a branch by branch basis. It is shown that the complexity of universal metric is much less than that of the Fano metric for bursty noisy channel.

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A Burst Error Correction Decoding Algorithm in TCM on Mobile Communications (이동통신에서 TCM의 연집에러 정정을 위한 복호방식)

  • 이영천;김종일;이명수;홍대식;강창언
    • The Journal of Korean Institute of Communications and Information Sciences
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    • 제17권9호
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    • pp.1020-1028
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    • 1992
  • In this paper, a burst-error-correcting adaptive decoding in TCM(Trellis Coded Modulation) is presented that combines maximun-likelihood decoding with a burst error detection scheme. The decoder usually operates as a Viterbi decoder and switches to a burst-error-correcting mode whenever error patterns uncorrectable by Viterbi decoder are detected. It is demonstrated that TCM using adaptive decoding method outperforms a traditional TCM on the multi-path fading channels that are busty in nature, which are like the channel environments of mobile communications.

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A Maximum Likelihood Decoding Scheme Based on Breadth-First Searching for Multi-Input Multi-Output Systems (여러 입력 여러 출력 시스템에 알맞도록 너비를 먼저 탐색하는 가장 비슷함 복호 방식)

  • Kang, Hyun-Gu;Song, Iick-Ho;An, Tae-Hun;Kim, Yun-Hee
    • The Journal of Korean Institute of Communications and Information Sciences
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    • 제32권1C호
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    • pp.34-42
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    • 2007
  • The sphere decoder (SD) has recently been proposed to perform maximum likelihood (ML) decoding for multi-input multi-output systems. Employing a 'breadth-first' searching algorithm for closet points in a lattice, we propose a novel ML decoding scheme for multi-input multi-output systems. Simulation results show that the proposed scheme has the same bit error rate performance as the conventional ML decoders while allowing significantly lower computational burden than the SD.

The Construction and Viterbi Decoding of New (2k, k, l) Convolutional Codes

  • Peng, Wanquan;Zhang, Chengchang
    • Journal of Information Processing Systems
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    • 제10권1호
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    • pp.69-80
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    • 2014
  • The free distance of (n, k, l) convolutional codes has some connection with the memory length, which depends on not only l but also on k. To efficiently obtain a large memory length, we have constructed a new class of (2k, k, l) convolutional codes by (2k, k) block codes and (2, 1, l) convolutional codes, and its encoder and generation function are also given in this paper. With the help of some matrix modules, we designed a single structure Viterbi decoder with a parallel capability, obtained a unified and efficient decoding model for (2k, k, l) convolutional codes, and then give a description of the decoding process in detail. By observing the survivor path memory in a matrix viewer, and testing the role of the max module, we implemented a simulation with (2k, k, l) convolutional codes. The results show that many of them are better than conventional (2, 1, l) convolutional codes.