• 제목/요약/키워드: Normalized LMS Algorithm

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능동 소음 제어를 위한 정규화된 다채널 FxLMS 알고리즘 (Multi-channel normalized FxLMS algorithm for active noise control)

  • 정익주
    • 한국음향학회지
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    • 제35권4호
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    • pp.280-287
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    • 2016
  • 본 논문에서는 다채널 능동 소음 제어를 위한 적응 필터에 적용할 수 있는 정규화된 FxLMS(Filtered-x Least Mean Square) 알고리즘을 제안하였다. 단일 채널 능동 소음 제어를 위한 FxLMS 알고리즘의 경우는 기존의 NLMS(Normalized Least Mean Square) 알고리즘과 같은 방식으로 정규화할 수 있는 반면, 다채널 능동 소음 제어의 경우에는 단일 채널 방식의 정규화 알고리즘을 그대로 적용할 수 없다. 먼저, 최소 교란 원리에 근거한 일반화된 정규화 알고리즘을 이용하여, 역행렬 연산을 피하기 위하여 대각 성분만을 고려한 정규화 알고리즘을 제안하였다. 컴퓨터 모의 실험을 통하여 제안된 알고리즘을 정규화되지 않은 기존의 알고리즘들과 비교하였다. 제안된 알고리즘이 정규화되지 않은 기존의 알고리즘에 비하여 비정상 환경에서 우수한 성능을 가진다는 것을 보였다.

정규화된 D-QR-RLS 알고리즘의 특성 분석(II) (Characteristic Analysis of Normalized D-QR-RLS Algorithm (II))

  • 안봉만;황지원;조주필
    • 한국통신학회논문지
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    • 제32권11C호
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    • pp.1127-1133
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    • 2007
  • 제안된 알고리즘은 QR 형태의 LMS 알고리즘이 입력의 분산에 비례하게 되어있어 입력의 분산을 평균적인 측면에서 입력의 분산을 정규화하는 알고리즘중 하나이다. 본 논문에는 정규화 알고리즘의 수렴 특정 분석이 되어있다. 제안한 알고리즘의 성능분석을 위하여 간단한 FIR 시스템의 시스템 식별을 수행하였다. 이때 성능 비교에 참여한 알고리즘은 LMS, NLMS(normalized least mean square) 알고리즘이다. 그 결과 제안한 알고리즘은 NLMS 알고리즘과 매우 유사한 성능을 가짐을 확인하였다.

A Variable Step Size LMS Algorithm Using Normalized Absolute Estimation Error

  • Kim, D. W.;S. H. Han;H. K. Hong;H. B. Kang;Park, J. S.
    • Journal of Electrical Engineering and information Science
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    • 제1권2호
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    • pp.119-124
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    • 1996
  • Variable step size LMS(VS-LMS) algorithms improve performance of LMS algorithm by means of varying the step size. This paper presents a new VS-LMS algorithm using normalized absolute estimation error. Normalizing the estimation error to the expected valus of the desired signal, we determined the step size using the relative size of estimation error, Because parameters and computational load are less, our algorithm is easy to implement in hardware. The performance of the proposed algorithm is analyzed theoretically and estimated through simulations. Based on the theoretical analysis and computer simulations, the proposed algorithm is shown to be effective compared to conventional VS-LMS algorithms.

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Adaptive Interference Cancellation Using CMA-Correlation Normalized LMS for WCDMA System

  • Han, Yong-Sik;Yang, Woon-Geun
    • Journal of information and communication convergence engineering
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    • 제8권2호
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    • pp.155-158
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    • 2010
  • In this article, we proposed a new interference canceller using the adaptive algorithm. We designed constant modulus algorithm-correlation normailized least mean square (CMA-CNLMS) for wireless system. This structure is normalized LMS algorithm using correlation between the desired and input signal for cancelling the interference signals in the wideband code division multiple access (WCDMA) system. We showed that the proposed algorithm could improve the Mean Square Error (MSE) performance of LMS algorithm. MATLAB (Matrix Laboratory) is employed to analyze the proposed algorithm and to compare it with the experimental results. The MSE value of the LMS with mu=0.0001 was measured as - 12.5 dB, and that of the proposed algorithm was -19.5 dB which showed an improvement of 7dB.

A Square Root Normalized LMS Algorithm for Adaptive Identification with Non-Stationary Inputs

  • Alouane Monia Turki-Hadj
    • Journal of Communications and Networks
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    • 제9권1호
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    • pp.18-27
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    • 2007
  • The conventional normalized least mean square (NLMS) algorithm is the most widely used for adaptive identification within a non-stationary input context. The convergence of the NLMS algorithm is independent of environmental changes. However, its steady state performance is impaired during input sequences with low dynamics. In this paper, we propose a new NLMS algorithm which is, in the steady state, insensitive to the time variations of the input dynamics. The square soot (SR)-NLMS algorithm is based on a normalization of the LMS adaptive filter input by the Euclidean norm of the tap-input. The tap-input power of the SR-NLMS adaptive filter is then equal to one even during sequences with low dynamics. Therefore, the amplification of the observation noise power by the tap-input power is cancelled in the misadjustment time evolution. The harmful effect of the low dynamics input sequences, on the steady state performance of the LMS adaptive filter are then reduced. In addition, the square root normalized input is more stationary than the base input. Therefore, the robustness of LMS adaptive filter with respect to the input non stationarity is enhanced. A performance analysis of the first- and the second-order statistic behavior of the proposed SR-NLMS adaptive filter is carried out. In particular, an analytical expression of the step size ensuring stability and mean convergence is derived. In addition, the results of an experimental study demonstrating the good performance of the SR-NLMS algorithm are given. A comparison of these results with those obtained from a standard NLMS algorithm, is performed. It is shown that, within a non-stationary input context, the SR-NLMS algorithm exhibits better performance than the NLMS algorithm.

가변 스텝 크기를 갖는 LMS 알고리즘 (A LMS algorithm with variable step size)

  • 김관준;이철희;남현도
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.224-227
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    • 1993
  • In this paper, a new LMS algorithm with a variable step size (VVS LMS) is presented. The change of step size .mu. at each iteration, which increases or decreases according to the misadaptation degree, is computed by a proportional fuzzy logic controller. As a result the algorithm has very good convergence speed and low steady-state misadjustment. The norm of the cross correlation between the estimation error and input signal is used. As a measure of the misadaptation degree. Simulation results are presented to compare the performance of the VSS LMS algorithm with the normalized LMS algorithm.

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퍼지 가변 스텝 크기 LMS 알고리즘 (A LMS Algorithm with Fuzzy Variable Step Size)

  • 이철희;김관준
    • 산업기술연구
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    • 제13권
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    • pp.33-41
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    • 1993
  • In this paper, a new LMS algorithm with a fuzzy variable step size (FVS LMS) is presented. The change of step size ${\mu}$, at each iteration which is increases or decreases according to the misadaptation degree, is computed by a proportional fuzzy logic controller. As a result the algorithm has very good convergence speed and low steady-state misadjustment. As a measure of the misadaptation degree, the norm of the cross correlation between the estimation error and input signal is used. Simulation results are presented to compare the performance of the FVSS LMS algorithm with the normalized LMS algorithm.

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신호 대 잡음비를 이용한 Adjusted Step Size NLMS알고리즘에 관한 연구 (Research about Adjusted Step Size NLMS Algorithm Using SNR)

  • 이재균;박재훈;이채욱
    • 한국통신학회논문지
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    • 제33권4C호
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    • pp.305-311
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    • 2008
  • 본 논문에서는 실시간 자동차 환경에서 VSSNLMS(variable step size normalized least mean square)를 이용하여 적응 잡음 제거 알고리즘을 제안한다. 기본적인 ANC(adaptive noise canceller)알고리즘인 LMS알고리즘은 알고리즘의 간단성 때문에 가장 많이 사용되고 있다. 그러나 LMS알고리즘은 수렴율과 실시간 환경에서의 정확성 사이에서 문제를 가지고 있다. 이러한 문제를 풀기 위해, 비정장성 환경에서 잡음제거를 위해 VSSLMS알고리즘이 사용된다. 본 논문에서 실시간 데이터 입력 시스템을 사용하여 컴퓨터 시뮬레이션 함으로써, VSSLMS알고리즘이 LMS알고리즘에 비해 수렴율과 정확성 이 모두에 더 효율적이라는 것을 입증한다.

Kurtosis Driven Variable Step-Size Normalized Least Mean Square Algorithm for RF Repeater

  • Han, Yong-Sik;Yang, Woon-Geun
    • Journal of information and communication convergence engineering
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    • 제8권2호
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    • pp.159-162
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    • 2010
  • This paper presents a new Kurtosis driven Variable Step-Size Normalized Least Mean Square (KVSSN-LMS) algorithm to prevent repeater from oscillation due to feedback signal of radio frequency (RF) repeater. To get better Mean Square Error (MSE) performance, step-size is adjusted using the kurtosis. The proposed algorithm shows the better performance of steady state MSE. The proposed algorithm shows a better ERLE performance than that of KVSS-LMS, VSS-NLMS, NLMS algorithms.

능동홉기소음제어 시스템의 개발 및 성능향상에 관한 연구 (The Study on the Performance Improvement and the Development of Active Intake Noise Control System)

  • 이충휘;오재응;심현진;이유엽
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 춘계학술대회 논문집
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    • pp.326-329
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    • 2002
  • Engine noise is one of the major causes of the interior noise, and so has been studied in various ways in recent days. Recently Intake noise has been extensively studied to reduce the engine noise. Conventional method to reduce the noise is adding several resonators to the induction system. However this causes a reduction of engine output power and an increase of fuel consumption. In this study, the prototype of Active Intake Noise Control System is developed by using the Filtered-x LMS algorithm to reduce the Intake noise during acceleration. Intake noise is more excessively increased when the engine is rapidly accelerated. So, Normalized LMS algorithm is applied to improve the control performance under the rapid acceleration.

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