• Title/Summary/Keyword: MSE 수렴

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A Study on the Optimum Convergence Constant of an Echo Canceller (Echo Canceller의 수렴상수 최적화에 관한 연구)

  • 정기석
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.3
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    • pp.355-359
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    • 1993
  • This paper presents a derivation of the optimum convergence constant to yield the most rapid convergence under a desired mean-square error (MSE) for echo canceller using the LMS algorithm. For white input data, the optimum convergence constant is a simple closed-form function of the number of filter taps, the input signal variance, the initial MSE, and the desired MSE. This characteristic makes it easily designed in many practical applications. Computer simulations are also employed to show the correctness and effectiveness of the derived results.

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Analysis on the Regularization Parameter in Image Restoration (영상복원에서의 정칙화 연산자 분석)

  • 전우상;이태홍
    • Journal of Korea Multimedia Society
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    • v.2 no.3
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    • pp.320-328
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    • 1999
  • The Laplacian operator is usually used as a regularization operator which may be used as any differential operator in the regularization iterative restoration. In this paper, several kinds of differential operator and 1-H operator that has been used in our lab as well, as a regularization operator, were compared with each other. In the restoration of noisy motion-blurred images, 1-H operator worked better than Laplacian operator in flat region, but in the edge the Laplacian operator operated better. For noisy gaussian-blurred image, 1-H operator worked better in the edge, while in flat region the Laplacian operator resulted better. In regularization, smoothing the noise and resorting the edges should be considered at the same time, so the regions divided into the flat, the middle, and the detailed, which were processed in separate and compared their MSE. Laplacian and 1-H operator showed to be suitable as the regularization operator, while the other differential operators appeared to be diverged as iterations proceeded.

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Performance Analysis of NM-MMA Adaptive Equalization Algorithm in Nonconstant Modulus Signal (Nonconstant Modulus 신호에서 NM-MMA 적응 등화 알고리즘의 성능 해석)

  • Lim, Seung Gag
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.2
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    • pp.113-118
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    • 2017
  • This paper propose the NM-MMA (Novel Mixed-MMA) that is possible to improving the convergence speed of current MMA algorithm and reducing the high MSE of SE-MMA algorithm, and its equalization performance were analyzed. The cost function of the NM-MMA configured as the sum of appropriate weights of gradient vector of current MMA and SE-MMA, and then it used for the updating the tap coefficient of equalizer. The computer simulation was performed applying the same environment in the channel, step size and signal to noise ratio, and the same performance index in equalizer output signal constellation, residual isi, MSE, SER was used. As a result of computer simulation, the proposed NM-MMA has fast convergence time than MMA, and less in MSE and SER performance compared to SE-MMA.

The Convergence Speed Enhancement using a Cosine Modulated Filter Banks and a Decimation Technique (코사인 변조된 필터 뱅크와 Decimation을 이용한 수렴 속도 성능 개선)

  • Choi Chang-Kwon;Cho Byung-Mo
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.193-196
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    • 1999
  • 본 논문은 음향 임펄스를 모델링하는데 코사인 변조된 필터 뱅크와 Decimation을 이용하여 수렴 속도를 개선하는 방법을 제안하고 이를 잡음제거에 응용하였다. 제안된 구조는 입력신호를 필터뱅크를 이용하여 각 서브밴드로 분할한 후 필터 입력신호의 고유벡터의 최대값과 최소값의 비를 줄이고 필터의 탭수를 줄이기 위해서 decimation을 행한다. 그리고 서브밴드대역의 샘플링 주파수를 낮추어 신호 스펙트럼을 확장시켜 이를 적응필터에 입력하여 수렴속도를 향상시켰다. 실험 결과, Colored잡음의 경우 LMS 알고리즘보다 제안된 방법이 MSE(Mean Square Error)는 좋지는 않았다. 실제 음향시스템의 모델링에는 거의 같은 MSE을 갖으며, 수렴 속도에는 모두 빠른 성능을 보였으며, 이를 음질향상에 적용하여 향상된 음질을 얻을 수 있었다.

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A Performance Improvement of NM-MMA Adaptive Equalization Algorithm using Adaptive Modulus (Adaptive Modulus를 이용한 NM-MMA 적응 등화 알고리즘의 성능 개선)

  • Lim, Seung-Gag
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.18 no.6
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    • pp.113-119
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    • 2018
  • This paper relates the AM-NM-MMA algorithm which possible to adaptive equalization performance improvement using the adaptive modulus instead of fixed modulus in the NM-MMA algorithm. The NM-MMA emerged for the tradeoff the MMA and SE-MMA algorithm characteristics, the MMA provides the less residual values in the steady state and have a slow convergence rate, the SE-MMA provides the fast convergence rate and increae the risidual values in the steady state. But the fixed modulus can not give the zero residual values in the perfect equalization state and eqaulization performance were degrade, the adaptive modulus was applied in order to reducing the residual values, and its improved performance were confirmed by simulation. For this, the equalizer output constellation, residual isi, MD, MSE, SER were used for performance index. As a result of computer simulation, the AM-NM-MMA has more good performance in equalizer output signal constellation, residual isi, MD, MSE than the NM-MMA, but not in SER performance.

Optimum Conditions of Adaptive Equalizers Based on Zero-Error Probability (영확률에 기반한 적응 이퀄라이져의 최적조건)

  • Kim, Namyong;Lee, Gyoo-Yeong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.40 no.10
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    • pp.1865-1870
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    • 2015
  • In signal processing, the zero-error probability (ZEP) criterion and related algorithm (MZEP) outperforms MSE-based algorithms and yields superior and stable convergence in impulsive noise environment. In this paper, the analysis of the relationship with MSE criterion proves that ZEP criterion has equivalent optimum solution of MSE criterion. Also this work reveals that the magnitude controlled input of MZEP algorithm plays the role in keeping the optimum solution undisturbed from impulsive noise.

Variable Step Size LMS Algorithm Using the Error Difference (오류 차이를 활용한 가변 스텝 사이즈 LMS 알고리즘)

  • Woo, Hong-Chae
    • The Journal of the Acoustical Society of Korea
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    • v.28 no.3
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    • pp.245-250
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    • 2009
  • In communications and signal processing area, a number of least mean square adaptive algorithms have been used because of simplicity and robustness. However the LMS algorithm is known to have slow and non-uniform convergence. Various variable step size LMS adaptive algorithms have been introduced and researched to speed up the convergence rate. A variable step size LMS algorithm using the error difference for updating the step size is proposed. Compared with other algorithms, simulation results show that the proposed LMS algorithm has a fast convergence. The theoretical performance of the proposed algorithm is also analyzed for the steady state.

East Kalman/LMS Hybrid Equalizer with Low Complexity for HDTV Channel (적은 계산량을 갖는 고속 Kalman/LMS 복합 구조 채널 등화기)

  • 서원길;박재홍;김민호;정정화
    • Proceedings of the IEEK Conference
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    • 2003.07e
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    • pp.2176-2179
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    • 2003
  • 본 논문에서는 적은 계산량을 갖는 Fast Kalman/LMS 복합 구조 등화기를 제안한다. HDTV (High Definition Television)의 채널은 긴 지연을 가지는 다중경로가 존재하기 때문에 등화기에 많은 수의 탭이 필요하다. 그러나 실제로 다중경로에 영향을 받는 심볼은 몇 개의 탭에 의해서만 발생한다 본 논문에서는 훈련기간 초기에 Fast Kalman 알고리즘을 이용하여 MSE(Mean Squared Error) 값이 특정 임계치 이하가 될 때까지 빠르게 수렴을 시키고, 심볼들에 영향을 주지 않는 탭을 제외한 나머지 탭만을 LMS (Least Mean Squre) 알고리즘으로 갱신시킴으로써 계산량을 줄이는 새로운 방법을 제안한다. 시뮬레이션 결과 제안한 방법이 기존의 Fast Kalman/LMS 복합 구조에 비해 적은 계산량으로 비슷한 수렴 속도와 MSE를 갖는 것을 보여준다.

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A Study on the Performance Improvement in Equalization of DTV using DCT HLMS DFE (DCT HLMS DFE를 이용한 DTV 등화 성능 개선 연구)

  • 김재욱;서종수
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2002.11a
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    • pp.27-30
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    • 2002
  • 본 논문은 8VSB 방식의 디지털 지상파 TV 시스템에서 수신 채널 등화기의 수렴속도와 MSE(Mean Square Error) 성능을 개선하기 위하여 DCT HLMS DFE(Discrete Cosine Transform Hierarchical Least Mean Square)를 제안한다. 즉, 다중경로 수신 환경에서 수신 신호의 왜곡 및 지연에 따른 입력 데이터에 대한 고유값 확산을 감소하기 위하여 DCT와 전력추정 알고리즘을 사용하고 또한, LMS(Least Mean Square) DFE를 계층적 구조의 서브필터로 변형함으로써 수신 데이터상관 행렬의 고유값 범위를 줄인다. 전산모의 실험 결과 제안한 DCT HLMS DFE는 ATTC(Advanced Television Test Center)가 제시한 디지털 지상파 TV 방송 채널 중 A 채널 하에서 기존의 LMS DFE 보다 수렴속도와 MSE 성능이 개선됨을 알 수 있다.

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An Iterative Image Restoration (화상의 반복 복원 처리)

  • 이태홍
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.17 no.8
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    • pp.891-897
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    • 1992
  • A local iterative Image restoration method Is Introduced that processes with varying iteration numbers according to the local statistics. In general almost of the Iterative method applies Its algorithm to the whole Image without considering the local pixel informations, which Is not so effective for the processing time. Usually the edges or details have an Important role In visual effect. So in this paper we process the edges or the details many times while In the flat region we just pass over or decrease iterations. This method shows good MSE (Mean Square Error) improvement, better subjective qualify and reduced processing time.

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