• Title/Summary/Keyword: Max-Log-MAP algorithm

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Iterative Decoding Performance for Gray Coded QAM Signals with I/Q Phase Unbalance (I/Q 위상 불균형을 동반한 Gray 부호화된 QAM 신호의 반복 복호 성능)

  • Kim Ki-Seol;Park Sang-Kyu
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.6A
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    • pp.611-616
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    • 2006
  • In this paper, we propose a practical implementation method of a soft bit decision expression for an R-QAM (Gray coded Rectangular Quadrature Amplitude Modulation) signal based on the Max-Log-MAP algorithm. The parameters of the soft decision expression for the practical implementation can be obtained with simple arithmetic functions associated with some deterministic parameters such as a received value, distances between symbols, and the order of modulation on a signal space. Also, we analyze the performance of an iterative decoding scheme for the QAM signal with I/Q phase unbalance. The unbalance results from the non-ideal characteristic of components such as a phase shifter between in-phase and quadrature paths for quadrature modulator/demondulator.

General Log-Likelihood Ratio Expression and Its Implementation Algorithm for Gray-Coded QAM Signals

  • Kim, Ki-Seol;Hyun, Kwang-Min;Yu, Chang-Wahn;Park, Youn-Ok;Yoon, Dong-Weon;Park, Sang-Kyu
    • ETRI Journal
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    • v.28 no.3
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    • pp.291-300
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    • 2006
  • A simple and general bit log-likelihood ratio (LLR) expression is provided for Gray-coded rectangular quadrature amplitude modulation (R-QAM) signals. The characteristics of Gray code mapping such as symmetries and repeated formats of the bit assignment in a symbol among bit groups are applied effectively for the simplification of the LLR expression. In order to reduce the complexity of the max-log-MAP algorithm for LLR calculation, we replace the mathematical max or min function of the conventional LLR expression with simple arithmetic functions. In addition, we propose an implementation algorithm of this expression. Because the proposed expression is very simple and constructive with some parameters reflecting the characteristic of the Gray code mapping result, it can easily be implemented, providing an efficient symbol de-mapping structure for various wireless applications.

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Turbo Coded OFDM Scheme for a High-Speed Power Line Communication (고속 전력선통신 시스템의 터보 부호화)

  • Lee, Jae-Sun;Kim, Yo-Cheol;Kim, Jung-Hui;Kim, Jin-Young
    • 한국정보통신설비학회:학술대회논문집
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    • 2009.08a
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    • pp.190-196
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    • 2009
  • In this paper, performance of a turbo-coded OFDM system is analyzed and simulated in a power line communication channel. Since the power line communication system typically operates in a hostile environment, turbo code has been employed to enhance reliability of transmitted data. The performance is evaluated in terms of bit error probability. As turbo decoding algorithms, MAP (maximum a posteriori), Max-Log-MAP, and SOVA (soft decision Viterbi output) algorithms are chosen and their performances are compared. From simulation results, it is demonstrated that Max-Log-MAP algorithm is promising in terms of performance and complexity. It is shown that performance is substantially improved by increasing the number of iterations and interleaver length of a turbo encoder. The results in this paper can be applied to OFDM-based high-speed power line communication systems.

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(Turbo Decoder Design with Sliding Window Log Map for 3G W-CDMA) (3세대 이동통신에 적합한 슬라이딩 윈도우 로그 맵 터보 디코더 설계)

  • Park, Tae-Gen;Kim, Ki-Hwan
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.42 no.9 s.339
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    • pp.73-80
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    • 2005
  • The Turbo decoders based on Log-MAP decoding algorithm inherently requires large amount of memory and intensive complexity of hardware due to iterative decoding, despite of excellent decoding efficiency. To decrease the large amount of memory and reduce hardware complexity, the result of previous research. And this paper design the Turbo decoder applicable to the 3G W-CDMA systems. Through the result of previous research, we decided 5-bits for the received data 6-bits for a priori information, and 7-bits for the quantization state metrics. The error correction term for $MAX^{*}$ operation which is the main function of Log-MAP decoding algorithm is implemented with very small hardware overhead. The proposed Turbo decoder is synthesized in $0.35\mu$m Hynix CMOS technology. The synthesized result for the Turbo decoder shows that it supports a maximum 9Mbps data rate, and a BER of $10^{-6}$ is achieved(Eb/No=1.0dB, 5 iterations, and the interleaver size $\geq$ 2000).

Using a Greedy Algorithm for the Improvement of a MapReduce, Theta join, M-Bucket-I Heuristic (그리디 알고리즘을 이용한 맵리듀스 세타조인 M-Bucket-I 휴리스틱의 개선)

  • Kim, Wooyeol;Shim, Kyuseok
    • Journal of KIISE
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    • v.43 no.2
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    • pp.229-236
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    • 2016
  • Theta join is one of the essential and important types of queries in database systems. As the amount of data needs to be processed increases, processing theta joins with a single machine becomes impractical. Therefore, theta join algorithms using distributed computing frameworks have been studied widely. Although one of the state-of-the-art theta-join algorithms uses M-Bucket-I heuristic, it is hard to use since running time of M-Bucket-I heuristic, which computes a mapping from a record to a reducer (i.e., reducer mapping), is O(n) where n is the size of input data. In this paper, we propose MBI-I algorithm which reduces the running time of M-Bucket-I heuristic to $O(r_{max}log\;n)$ and gives the same result as M-Bucket-I heuristic does. We also conducted several experiments to show algorithm and confirmed that our algorithm can improve the performance of a theta join by 10%.

Efficient Implementation of SOVA for Turbo Codes (Turbo code를 위한 효율적인 SOVA의 구현)

  • 이창우
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.11C
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    • pp.1045-1051
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    • 2003
  • The SOVA, which produces the soft decision value, can be used as a sub-optimum solution for concatenated codes such as turbo codes, since it is computationally efficient compared with the optimum MAP algorithm. In this paper, we propose an efficient implementation of the SOVA used for decoding turbo codes, by reducing the number of calculations for soft decision values and trace-back operations. In order to utilize the memory efficiently, the whole block of turbo codes is divided into several sub-blocks in the proposed algorithm. It is demonstrated that the proposed algorithm requires less computation than the conventional algorithm, while providing the same overall performance.

Design of a Low-Power Turbo Decoder Using Parallel SISO Decoders (병렬 SISO 복호기에 의한 저전력 터보 복호기의 설계)

  • Lee, Hee-Jin;Hwang, Sun-Young
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.2C
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    • pp.25-30
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    • 2005
  • Turbo code is popularly used for the reliable communication in the presence of burst errors. Even if it shows good error performance near to the Shannon limits, it requires a large amount of memories and exhibits long latency. This paper proposes an architecture for the low power implementation of the Turbo decoder adopting the Max-Log-Map algorithm. In the proposed design, two SISO decoders are designed to operate in parallel, and a novel interleaver is designed to prevent the collision of memory accesses by two SISO decoders. Experimental results show that power consumption has been reduced by about 40% in the proposed decoder compared to previous Turbo decoders. The area overhead due to the additional interleaver controller is negligible.

Phase Offset Estimation Based on Turbo Decoding in Digital Broadcasting System (차세대 고속무선 DTV를 위한 터보복호기반의 위상 옵셋 추정 기법)

  • Park, Jae-Sung;Cha, Jae-Sang;Lee, Chong-Hoon;Kim, Heung-Mook;Choi, Sung-Woong;Cho, Ju-Phill;Park, Yong-Woon;Kim, Jin-Young
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.9 no.2
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    • pp.111-116
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    • 2009
  • In this paper, we propose a phase offset estimation algorithm which is based on turbo coded digital broadcasting system. The phase estimator is an estimator outside turbo code decoder using LMS (Least Mean Square) algorithm to estimate the phase of next state. While the conventional LMS algorithm with a fixed step size is easy implemented, it has weak points that are difficult the channel estimation and tracking in the multipath environment. To resolve this problem, we propose new phase offset estimation method with a variable step size LMS (VS-LMS). Additionally, we propose a scheme which consists of a conventional LMS. The performance is verified by computer simulation according to a fixed phase offset and a increased phase offset, the proposed algorithm improve the bit error rate performance than the conventional algorithm.

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