• Title/Summary/Keyword: Filtered-E LMS

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Effects of Error Path Delay on Stability of the Filtered-x/Constrained Filtered-x LMS Algorithm

  • Na, Hee-Seung
    • The Journal of the Acoustical Society of Korea
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    • v.17 no.3E
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    • pp.43-46
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    • 1998
  • Many of the active noise control system utilize a form of the least mean square(LMS) algorithm. This paper discusses the dependence of the convergence rate on the acoustic error path in the popular algorithm which is conventional "filtered-x LMS" and introduces new algorithm "constrained filtered-x LMS". The proposed method increase the convergence region regardless of the time-delay in the acoustic error path. In the algorithms, coefficients of the controller are adapted using the residuals of constrained structure which are defined in such a way that the control process become stationary. Advantages of constrained filtered-x LMS algorithm is illustrated by convergence analysis in the mean sense.

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Convergence Behavior of the filtered-x LMS Algorithm for Active Noise Caneller

  • Lee, Kang-Seung
    • The Journal of the Acoustical Society of Korea
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    • v.17 no.2E
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    • pp.10-15
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    • 1998
  • Application of the Filtered-X LMS adaptive filter to active noise cancellation requires to estimate the transfer characteristics between the output and the error signal of the adaptive canceler. In this paper, we derive an adaptive cancellation algorithm and analyze is convergence behavior when the acoustic noise is assumed to consist of multiple sinusoids. The results of the convergence analysis of the Filtered-X LMS algorithm indicate that the effects of parameter estimation inaccuracy on the convergence behavior of the algorithm are characterize by two distinct components : Phase estimation error and estimated magnitude. In particular, the convergence of the Filtered-X LMS algorithm is show to be strongly affected by the accuracy of the phase response estimate. Simulation results of the algorithm are presented which support the theoretical convergence analysis.

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Active Control of Road-Booming-Noise with Constraint Multiple Filtered-X LMS Algorithm

  • Oh, Shi-Hwan;Kim, Hyoun-Suk;Park, Young-Jin
    • The Journal of the Acoustical Society of Korea
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    • v.19 no.2E
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    • pp.3-7
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    • 2000
  • Vibration generated by the non-uniform road profile propagates though each tire and the suspension and finally generates structure born noise in the interior of the passenger vehicle. In this paper, the road-booming-noise which has strong correlation with the vibration signals measured at the suspension system was compensated. Active noise control of the road-booming-noise is rather difficult to achieve because of its non-stationary characteristics. CMFX LMS (Constraint Multiple Filtered-X Least Mean Square) algorithm, which can track non-stationary process rather well, is applied. Comprison of the proposed method and the conventional MFX LMS (Multiple Filtered-X Least Mean Square) algorithm is made through the hardware-in-the-loop simulation and the feasibility of the proposed method is demonstrated with the experiment.

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A Nonlinear Filtered-X LMS Algorithm for the Nonlinear Compensation of the Secondary Path in Active Noise Control (능동 소음 제어 시스템의 2차 경로 비선형 특성을 보상하기 위한 적응 비선형 Filtered-X Least Mean Square (FX-LMS) 알고리듬)

  • Jeong, I.S.;Kim, D.H.;Nam, S.W.
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.565-567
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    • 2004
  • In active noise control (ANC) systems, the convergence behavior of the conventional Filtered-X Least Mean Square (FXLMS) algorithm may be affected by nonlinear distortions in the secondary path (e.g., in the power amplifiers, loudspeakers, transducers, etc.), which may lead to degradation of the error-reduction performance of the ANC systems. In this paper, a stable FXLMS algorithm with fast convergence is proposed to compensate for undesirable nonlinear distortions in the secondary-path of ANC systems by employing the Volterra filtering approach. In particular, the proposed approach is based on the utilization of the conventional P-th order inverse approach to nonlinearity compensation in the secondary path of ANC systems. Finally, the simulation results showed that the proposed approach yields a better convergence behavior In the nonlinear ANC systems than the conventional FXLMS.

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An active noise control window system to reduce noise rating in low frequency band (저주파 대역의 소음 평가 지수 개선을 위한 창문형 능동 소음 제어기)

  • Oh, Wongeun
    • The Journal of the Acoustical Society of Korea
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    • v.37 no.5
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    • pp.331-337
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    • 2018
  • In this paper, we apply the NR (Noise Rating) to the evaluation of the residual noise of the window type ANC (Active Noise Control) and study the active noise controller for minimizing the NR value in rooms. We proposed a shape of a noise shaping filter of the Filtered-E LMS (Least Mean Square) algorithm that reduces the NR value within the effective operating frequency band of the ANC. The usefulness of the proposed scheme is verified by simulation and showed that the NR value of the residual noise is lower than the filters used in the conventional psychoacoustic ANC.

A Design Method of The Active Noise Controllers for The Perceived Noise Reduction (청감적 소음 감소를 위한 능동소음제어기 설계)

  • Kim, Jong-Ho;Oh, Wong-Eun
    • The Journal of the Korea institute of electronic communication sciences
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    • v.14 no.1
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    • pp.179-184
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    • 2019
  • In this paper, we propose a design method of Active Noise Control (ANC) that reduces perceived level of the residual noise. A FELMS (Filtered-E Least Mean Squares) algorithm is used for the ANC system and the NC (noise criteria) is applied as an evaluation criterion of the residual noise. With this structure, we present the allowable spectral shape of the noise shaping filter that minimizes the NC index within the effective operating frequency band of the ANC, and showed that the filter satisfying in the criterion has a lower NC value than the psychoacoustic-based filter used in the previous studies.

Stability Evaluation for Estimated Impulse Response with a Feedforward Adaptive Control System

  • Oh, Kyung-Hee;Lee, Yoo-Hyun;Kim, Chun-Duck
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.2E
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    • pp.56-62
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    • 2002
  • This paper describes a new method of stability evaluation for an estimated impulse response of a plant. It is difficult for the conventional stability evaluation equation to be used in an adaptive feedforward control system which uses an immeasurable acoustic transfer system of a real plant, because the equation requires an exact true impulse response of the plant. Therefore, the usefulness of the conventional equation is limited in a computer simulation. The proposed method is applicable to not only a computer simulation but also a real feedforward adaptive control system. It is found that the system is stable when the value of misadjustment is below -10 dB through computer simulations and experiments. And also, it is proved that the error signal is stable through the verification using filtered reference and filtered error LMS methods.

Nonlinear Compensation of A Secondary Path in Active Noise Control Using A Modified Filtered-X LMS Algorithm (수정된 FXLMS 알고리듬을 이용한 능동소음제어 시스템 2차 경로 비선형 특성 적응보상 기법)

  • Jeong, I.S.;Ahn, K.Y.;Nam, S.W.
    • Proceedings of the KIEE Conference
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    • 2004.05a
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    • pp.22-25
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    • 2004
  • In active noise control (ANC) system, the convergence behavior of the Filtered- X Least Mean Square (FXLMS) algorithm may be affected by nonlinear distortion in the secondary path as in the power amplifiers (e.g., saturation), loudspeakers and transducers. This distortion may yields degrading the error reduction performance of the ANC systems. In this paper, the authors of this paper propose a more improved and stable FXLMS algorithm to compensate for the undesirable nonlinearity of the secondary-path, whereby the third-order Volterra model was employed for the identification of the nonlinear secondary-path. In particular, the proposed approach was based on the modification of the conventional FXLMS algorithm. Finally, the simulation results showed that the proposed approach yields better convergence property and more stable performance in the ANC systems.

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The Study of the Multi-Channel Active Noise Reduction of the Vehicle Cabin I : Computer Simulation (자동차 실내 소음저감을 위한 다채널 능동 소음제어에 관한 연구I : 컴퓨터 시뮬레이션)

  • Lee, T. Y.;Shin, J.;Kim, H. S.;Oh, J. E.
    • Journal of the korean Society of Automotive Engineers
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    • v.14 no.5
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    • pp.95-106
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    • 1992
  • Active control of acoustic noise is an application area of adaptive digital signal processing with increasingly interest along the last year. This work studies the implementation of the multichannel LMS filter and the application of this algorithm for the reduction of the noise inside a vechicle cabin using a number of 'secondary sources' drived by adaptive filtering of a reference noise source. Firstly, we propose the use of an adaptive method for the time-varient optimal convergence factor. Secondly, we propose the use of adaptive delayed inverse model to estimate the elastic-acoustic transfer function presented in vechicle cabin. The original, primary source is often periodic, with a known fundamental frequency. A suitably filtered reference signal can thus be used to drive the secondary sources. An algorithm is presented for adapting the coefficients of an FIR filter feeding such a secondary source in such a way as to minimize the output of a suitably placed microphone. In this algorithm, the coefficients of adaptive filter driving an array of secondary sources can be adapted to minimize the sum of the squares of the outputs of a number of error microphones. The multichannel LMS algorithm displays that such an algorithm is considered suitable to used for the global suppression of noise in vehicle cabin.

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