• 제목/요약/키워드: Convergence characteristics of blind equalization algorithm

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Convergence Characteristics of the Normalized Blind Equalization Algorithm

  • Lee, Gwang-Seok
    • Journal of information and communication convergence engineering
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    • 제8권2호
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    • pp.136-139
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    • 2010
  • We derived Stop-and-go normalized DD, dual-mode normalized Sato, dual-mode NCMA blind equalization algorithm for complex data in this research. And then, the convergence characteristics of the proposed SG-NDD, dual-mode NSato blind equalization algorithms are compared with those of SG-DD, dual-mode Sato algorithms. In general, the normalized blind equalization algorithms have better convergence characteristics than the conventional algorithms.

Stop-and-Go 플래그를 가지는 새로운 블라인드 등화 알고리즘 (A New Blind Equalization Algorithm with A Stop-and-Go Flag)

  • 정영화
    • 정보학연구
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    • 제8권3호
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    • pp.105-115
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    • 2005
  • The CMA and MMA blind equalization algorithm has the inevitable large residual error caused by mismatching between the symbol constellation at a steady state after convergence. Stop-and-Go algorithm has a very superior residual error characteristics at a steady state but a relatively slow convergence characteristics. In this paper, we propose a SAG-Flagged MMA as a new adaptive blind equalization algorithm with a Stop-and-Go flag which follows a flagged MMA in update scheme of tap weights as appling the flag obtaining from Stop-and-Go algorithm to MMA. Using computer simulation, it is confirmed that the proposed algorithm has an enhancing performance from the viewpoint of residual ISI, residual error and convergence speed in comparison with MMA and Stop-and-Go algorithm. Algorithm has a new error function using the decided original constellation instead of the reduced constellation. By computer simulation, it is confirmed that the proposed algorithm has the performance superiority in terms of residual ISI and convergence speed compared with the adaptive blind equalization algorithm of CMA family, Constant Modulus Algorithm with Carrier Phase Recovery and Modified CMA(MCMA).

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최소평균 사제곱 (LMF) 및 최소평균 제곱과 사제곱을 혼합한 형태 (LMSF)의 블라인드 등화 알고리즘에 관한 연구 (A Study on Least Mean Fourth (LMF) and Least Mean Squares-Fourth (LMSF) Blind Equalization Algorithm)

  • 윤태성;변윤식
    • 한국음향학회지
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    • 제16권3호
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    • pp.38-44
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    • 1997
  • 본 연구에서는 Bussgang 계열의 복소수형 LMF-Sato 및 LMSF-Sato 블라인드 등화 알고리즘을 유도한 후, 이들 알고리즘에 대한 수렴속도, 정상상태에서의 수렴특성 및 안정성을 기종의 LMS-Sato 및 LMSF-Sato 알고리즘이 LMS-Sato 알고리즘에 비해 더 나은 수렴 특성을 보여 주었다. 그러나 계수벡터의 초기 추정오차가 큰 경우 LMF-Sato 알고리즘에 비해 더 나은 수렴 특성을 보여 주었다. 그러나 계수벡터의 초기 추저오차가 큰 경우 LMF-Sato 알고리즘은 안정성이 떨어지는 특성을 보여준 반면, LMSF-Sato 알고리즘은 좋은 수렴 특성과 견실성을 고루 갖추고 있음을 보여 주었다.

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정규화된 블라인드 등화 알고리즘에 관한 연구 (A study on normalize dblind equalization algorithms)

  • 장기원;허창원;윤태성;;허영
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 하계종합학술대회논문집
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    • pp.627-630
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    • 1998
  • In this study, we derived stop-and-go normalized DD, dual-mode normalized sato, dual-mode NCMA blind equalization algorithm for complex data. and then, the convergence characteristics of the proposed SG-NDD, dual-mode NSato blind equalization algorithms are compared with those of SG-DD, dual-mode sato algorithm. In genral, the normalized blind equalization algorithms have better convergence characteristics than the conventional algorithms.

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QAM 시스템에 선택적으로 NCMA를 적용한 블라인드 등화 알고리즘의 수렴속도 개선 (Convergence Rate Improvement of the Blind Equalization Algorithm for QAM System using Selective NCMA)

  • 강윤석;안상식
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1999년도 추계종합학술대회 논문집
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    • pp.43-46
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    • 1999
  • Blind equalizers recover the transmitted data using signal's statistical characteristics only. Because of its computational simplicity and fast convergence rate, CMA is widely used in practice. Blind equalizers, however, converge much slowly than conventional equalizers which use the training signals. In order to improve the convergence rate, many modified blind equalization algorithms have been proposed. Among those, Normalized CMA (NCMA) was applied to increase the convergence rate by using the large step size. Unfortunately it can only be applied for the constant modulus signal constellation scheme. this paper, we propose the Selective NCMA (SNCMA) that improve the convergence rate of blind equalization algorithms by using NCMA for non-constant modulus signalling method such as QAM constellation. We achieved fast start-up convergence rate and reduced steady-state residual error.

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Maximization of Zero-Error Probability for Adaptive Channel Equalization

  • Kim, Nam-Yong;Jeong, Kyu-Hwa;Yang, Liuqing
    • Journal of Communications and Networks
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    • 제12권5호
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    • pp.459-465
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    • 2010
  • A new blind equalization algorithm that is based on maximizing the probability that the constant modulus errors concentrate near zero is proposed. The cost function of the proposed algorithm is to maximize the probability that the equalizer output power is equal to the constant modulus of the transmitted symbols. Two blind information-theoretic learning (ITL) algorithms based on constant modulus error signals are also introduced: One for minimizing the Euclidean probability density function distance and the other for minimizing the constant modulus error entropy. The relations between the algorithms and their characteristics are investigated, and their performance is compared and analyzed through simulations in multi-path channel environments. The proposed algorithm has a lower computational complexity and a faster convergence speed than the other ITL algorithms that are based on a constant modulus error. The error samples of the proposed blind algorithm exhibit more concentrated density functions and superior error rate performance in severe multi-path channel environments when compared with the other algorithms.

Sliced Multi-modulus Blind Equalization Algorithm

  • Abrar, Shafayat;Axford, Roy A. Jr.
    • ETRI Journal
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    • 제27권3호
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    • pp.257-266
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    • 2005
  • Many multi-modulus blind equalization algorithms (MMA) have been presented in the past to overcome the undesirable high misadjustment exhibited by the well-known constant modulus algorithm. Some of these MMA schemes, specifically tailored for quadrature amplitude modulation (QAM) constellations, have also been proved to fix the phase offset error without needing any rotator at the end of the equalizer stage. In this paper, a new multi-modulus algorithm is presented for QAM signals. The contribution lies in the technique to incorporate the sliced symbols (outcomes of decision device) in the multi-modulus-based weight adaptation process. The convergence characteristics of the proposed sliced multi-modulus algorithm (S-MMA) is demonstrated by way of simulations, and it is shown that it gives better steady-state performance in terms of residual inter-symbol interference and symbol-error rate. It has also been shown that the proposed algorithm exhibits lesser steady-state misadjustment compared to the best reported MMA.

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블라인드 채널 등화를 위한 교번 적응 알고리즘 (Alternate Adaptation Algorithm for Blind Channel Equalization)

  • 오길남
    • 대한전자공학회논문지SP
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    • 제48권4호
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    • pp.129-135
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    • 2011
  • CMA(constant modulus algorithm)의 수렴 특성과 정상상태 성능을 개선하기 위한 교번 적응 알고리즘(alternate adaptation algorithm: AAA)을 제안한다. 교번 적응 알고리즘은 블라인드 수렴 특성이 우수한 알고리즘과 정상상태 오차 성능이 좋은 알고리즘을 이용하여 등화기를 번갈아 적응시키는 새로운 등화 방법이다. 본 논문에서는 가변 수렴상수를 적용한 vsCMA(variable step-size CMA)와 판정의거(decision-directed: DD) 알고리즘을 이용한 교번 적응 등화를 소개한다. 제안 방식에서는 먼저, CMA의 정상상태 오차 성능 개선을 위해 수렴상수를 가변 하는 vsCMA를 고안하였으며, 이를 DD와 교번 적응에 의해 결합함으로써 CMA의 수렴 속도와 정상상태 성능을 개선하고, CMA-DD 전환 방식에서 전환 타이밍에 따른 성능 변동의 민감성을 완화하였다. 제안 방법의 유용성을 확인하기 위해 컴퓨터 모의실험을 통해 다중경로 채널에서 16-QAM에 대해 평가하였다.

A Study on the Complex-Channel Blind Equalization Using ITL Algorithms

  • 김남용
    • 한국통신학회논문지
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    • 제35권8A호
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    • pp.760-767
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    • 2010
  • For complex channel blind equalization, this study presents the performance and characteristics of two complex blind information theoretic learning algorithms (ITL) which are based on minimization of Euclidian distance (ED) between probability density functions compared to constant modulus algorithm which is based on mean squared error (MSE) criterion. The complex-valued ED algorithm employing constant modulus error and the complex-valued ED algorithm using a self-generated symbol set are analyzed to have the fact that the cost function of the latter forces the output signal to have correct symbol values and compensate amplitude and phase distortion simultaneously without any phase compensation process. Simulation results through MSE convergence and constellation comparison for severely distorted complex channels show significantly enhanced performance of symbol-point concentration with no phase rotation.

오차 스케일링에 의해 블라인드 수렴 특성을 개선한 새로운 판정의거 등화 (A New Decision-Directed Equalization with Improved Blind Convergence Properties by Error Scaling)

  • 오길남
    • 한국통신학회논문지
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    • 제40권3호
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    • pp.419-424
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    • 2015
  • 판정의거(decision-directed: DD) 등화는 수신 신호의 눈모형이 완전히 닫힌 채널 조건에서는 눈모형을 충분히 열지 못하여 블라인드 등화기를 초기화하는 데는 효과적이지 않은 것으로 알려져 있다. 본 논문에서는 기존 DD 알고리즘의 오차를 대체하는 새로운 오차를 제안한다. 새로운 DD 오차는 신호점 판정의 모듈러스를 기존 DD 오차에 스케일링한 것으로, 이를 적용한 새로운 DD 알고리즘은 기존 DD와는 달리 등화 초기의 닫힌 눈모형을 여는데 효과적이다. 새로운 오차를 적용한 DD 알고리즘은 블라인드 초기화에 널리 쓰이는 CMA에 비해 우수한 수렴 특성을 보이며, 특히 다중 모듈러스를 가지는 신호 등화에 유용하다. 고차 QAM 신호에 대한 모의실험을 통해 새로운 DD 알고리즘의 성능을 검증하였다.