• Title/Summary/Keyword: Maximum Likelihood Decoding

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Adaptive K-best Sphere Decoding Algorithm Using the Characteristics of Path Metric (Path Metric의 특성을 이용한 적응형 K-best Sphere Decoding 기법)

  • Kim, Bong-Seok;Choi, Kwon-Hue
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.11A
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    • pp.862-869
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    • 2009
  • We propose a new adaptive K-best Sphere Decoding (SD) algorithm for Multiple Input Multiple Output (MIMO) systems where the number of survivor paths, K is changed based on the characteristics of path metrics which contain the instantaneous channel condition. In order to overcome a major drawback of Maximum Likelihood Detection (MLD) which exponentially increases the computational complexity with the number of transmit antennas, the conventional adaptive K-best SD algorithms which achieve near to MLD performance have been proposed. However, they still have redundant computation complexity since they only employ the channel fading gain as a channel condition indicator without instantaneous Signal to Noise Ratio (SNR) information. hi order to complement this drawback, the proposed algorithm use the characteristics of path metrics as a simple channel indicator. It is found that the ratio of the minimum path metric to the other path metrics reflects SNR information as well as channel fading gain. By adaptively changing K based on this ratio, the proposed algorithm more effectively reduce the computation complexity compared to the conventional K-best algorithms which achieve same performance.

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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    • v.32A no.4
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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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Performance Analysis of Layer Pruning on Sphere Decoding in MIMO Systems

  • Karthikeyan, Madurakavi;Saraswady, D.
    • ETRI Journal
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    • v.36 no.4
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    • pp.564-571
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    • 2014
  • Sphere decoding (SD) for multiple-input and multiple-output systems is a well-recognized approach for achieving near-maximum likelihood performance with reduced complexity. SD is a tree search process, whereby a large number of nodes can be searched in an effort to find an estimation of a transmitted symbol vector. In this paper, a simple and generalized approach called layer pruning is proposed to achieve complexity reduction in SD. Pruning a layer from a search process reduces the total number of nodes in a sphere search. The symbols corresponding to the pruned layer are obtained by adopting a QRM-MLD receiver. Simulation results show that the proposed method reduces the number of nodes to be searched for decoding the transmitted symbols by maintaining negligible performance loss. The proposed technique reduces the complexity by 35% to 42% in the low and medium signal-to-noise ratio regime. To demonstrate the potential of our method, we compare the results with another well-known method - namely, probabilistic tree pruning SD.

Suboptimum Decoding for Space-Time Trellis Codes in Slowly Fading Channels (느린 페이딩 채널에서 공간-시간 트렐리스 부호의 준최적 복호법)

  • Shin Sang-Seop;Kim Young-Ju
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.8C
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    • pp.771-776
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    • 2006
  • We present a suboptimum decoding method for space-time trellis codes, which include maximum $likelihood(ML)^{[1]}$ and principal ratio $combining(PRC)^{[2]}$, over quasi-static flat fading channels. In the proposed scheme, the receive antennas are divided into K groups and the PRC is applied to each group, showing a flexible performances between ML and PRC. When K is determined, we also propose the optimum grouping rules and performance index(PI), which simply anticipate the relative performances. Moreover the performances are also evaluated when receive antennas are correlated. Finally, Computer simulations corroborate those theoretical results.

Near ML Decoding Based on Metric-First Searching and Branch Length Threshold for Multiple Input Multiple Output Systems (여러 입력 여러 출력 시스템에서 길이 먼저 살펴보기와 가지 길이 문턱값을 바탕으로 둔 준최적 복호)

  • An, Tae-Hun;Kang, Hyun-Gu;Oh, Jong-Ho;Song, Iick-Ho;Yoon, Seok-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.8C
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    • pp.830-839
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    • 2009
  • In this paper, we address a near maximum likelihood (ML) scheme for the decoding of multiple input multiple output systems. Based on the metric-first search method and by employing Schnorr-Euchner enumeration and branch length thresholds, the proposed scheme provides reduced computational complexity. The proposed scheme is shown by simulation to have lower computational complexity than other near ML decoders while maintaining the bit error rate close to the ML performance.

ML Symbol Detection for MIMO Systems in the Presence of Channel Estimation Errors

  • Yoo, Namsik;Back, Jong-Hyen;Choi, Hyeon-Yeong;Lee, Kyungchun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.11
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    • pp.5305-5321
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    • 2016
  • In wireless communication, the multiple-input multiple-output (MIMO) system is a well-known approach to improve the reliability as well as the data rate. In MIMO systems, channel state information (CSI) is typically required at the receiver to detect transmitted signals; however, in practical systems, the CSI is imperfect and contains errors, which affect the overall system performance. In this paper, we propose a novel maximum likelihood (ML) scheme for MIMO systems that is robust to the CSI errors. We apply an optimization method to estimate an instantaneous covariance matrix of the CSI errors in order to improve the detection performance. Furthermore, we propose the employment of the list sphere decoding (LSD) scheme to reduce the computational complexity, which is capable of efficiently finding a reduced set of the candidate symbol vectors for the computation of the covariance matrix of the CSI errors. An iterative detection scheme is also proposed to further improve the detection performance.

Optimization-based Image Watermarking Algorithm Using a Maximum-Likelihood Decoding Scheme in the Complex Wavelet Domain

  • Liu, Jinhua;Rao, Yunbo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.1
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    • pp.452-472
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    • 2019
  • Most existing wavelet-based multiplicative watermarking methods are affected by geometric attacks to a certain extent. A serious limitation of wavelet-based multiplicative watermarking is its sensitivity to rotation, scaling, and translation. In this study, we propose an image watermarking method by using dual-tree complex wavelet transform with a multi-objective optimization approach. We embed the watermark information into an image region with a high entropy value via a multiplicative strategy. The major contribution of this work is that the trade-off between imperceptibility and robustness is simply solved by using the multi-objective optimization approach, which applies the watermark error probability and an image quality metric to establish a multi-objective optimization function. In this manner, the optimal embedding factor obtained by solving the multi-objective function effectively controls watermark strength. For watermark decoding, we adopt a maximum likelihood decision criterion. Finally, we evaluate the performance of the proposed method by conducting simulations on benchmark test images. Experiment results demonstrate the imperceptibility of the proposed method and its robustness against various attacks, including additive white Gaussian noise, JPEG compression, scaling, rotation, and combined attacks.

Sphere Decoding Algorithm for MIMO System (MIMO 시스템을 위한 Sphere Decoding 알고리즘)

  • An, Jin-Young;Park, Hee-Jun;Kim, Sang-Choon
    • Proceedings of the KIEE Conference
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    • 2008.10b
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    • pp.115-116
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    • 2008
  • 본 논문에서는 다중입력 다중출력(Multiple Input Multiple Output: MIMO) 시스템에서 Maximum Likelihood (ML) 수신기와 같은 성능을 가지지만 복잡도가 낮은 Sphere Decoding (SD) 알고리즘에 대해 분석하고, 그 성능을 평가한다. 각각의 송신 안테나에서 채널로 전송되는 독립적인 신호는 QPSK 방식을 사용하여 변조되며, 채널은 산란이 활발하게 일어나는 레일리(Rayleigh) 평탄 페이딩 채널로 가정한다. 수신기에서 수신된 신호는 Fincke & Pohst SD 알고리즘에 의해 간 송신 안테나로부터의 독립적인 신호로 검파되며 그 성능이 ML수신기의 성능과 비교되었다. 추가적으로 복잡도를 줄이기 위해 개선된 형태인 Viterbo & Boutros SD 알고리즘을 이용하여 검파된 신호의 BER 성능과 부동 소수점 연산량 (Floating Point Operations: FLOPS)이 각각 비교 분석되었다.

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Limited Constellation List Sphere Decoding (격자 제한 리스트 스피어 디코딩)

  • Jeon, Myeong-Woon;Lee, Jung-Woo
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2010.07a
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    • pp.1-3
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    • 2010
  • 스피어 복호 알고리즘 (sphere decoding algorithm)은 다중 입출력 (MIMO) 통신 시스템에서 사용되는 복호기중 최대 우도 복호기 (Maximum Likelihood Detector)와 비슷한 BER(bit error rate)성능을 가지고 복잡도를 줄일수 있어서 최근 많이 연구되어 왔다. 이때 공간 다중화와 채널 부호의 연접시스템에서 연판정 정보(Soft output information) 를 스피어 복호 알고리즘을 통해 생성하기 위한 방법으로 리스트 스피어 복호 알고리즘 (List Sphere Decoding)이 알려져있다. 기존 리스트 스피어 디코딩 알고리즘은 리스트를 반지름을 업데이트 하지 않으므로 탐색시 복잡도가 매우 높다는것이 문제가 되므로, 차원별로 최적해의 가능성이 높은 격자 주변으로 검색을 제한하여 복잡도를 줄이는 알고리즘을 제안하고 성능과 복잡도를 실험한다.

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Optimal Decoding Algorithm with Diversity Reception for a Fading Channel (협대역 무선채널에서 최적의 다이버시티 수신알고리즘 연구)

  • 한재충
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.8A
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    • pp.1156-1162
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    • 1999
  • In this paper, the problem of decoding transmitted data sequence with diversity reception in the presence of nondelective fading is studied. The expection maximizaton (EM) algorithm is employed to derive an interactive algorithm. The algorithm performs block-by-block coherent decoding with the aid of pilot symbols. It is shown that the complexity of the algorithm grows linearly as a function of sequence length. The performance of the algorithm is shown to better than that of the conventional pilot symbol aided (PSI) algorithm. Simulation results are presented to assess the performance of the algorithm and the results are compared with that of the conventional PSI alforithm.

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