• Title/Summary/Keyword: 수렴특성

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Convergence of the Filtered-x LMS Algorithm for Canceling Multiple Sinusoidal Acoustic Noise (복수정현파 소음제거를 위한 Filtered-x LMS 알고리듬의 수렴 특성에 관한 연구)

  • Lee, Kang-Seung;Lee, jae-Chon;Youn, Dae-Hee;Kang, Young-Suk
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.2
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    • pp.40-49
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    • 1995
  • Application of the filtered-x LMS adaptive filter to active noise cancellation requires to estimate the transfer charactersitics between the output and the error signal of the adaptive canceler. In this paper, we derive the filtered-x adaptive noise cancellation algorithm and analyze its convergence behavior when the acoustic noise consists of multiple sinusoids. The results of the convergence analysis of the filtered-x LMS algorithm indicate that the effects of the parameter estimation inaccuracy on the convergence behavior of the algorithm are characterized by two distinct components : Phase estimation error and estimated gain. In particular, the convergence is shown to strongly affected by the accuracy of the phase response estimate. Simulation results are presented to support the theoretical convergence analysis.

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A Simplified Orthogonal Projection Algorithm for Stereo Acoustic Echo Cancellation (스테레오 음향반향제거를 위한 간략화된 직교투사 알고리즘)

  • Lee, Haeng-Woo
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.16 no.11
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    • pp.2388-2396
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    • 2012
  • This paper is on an simplified orthogonal projection method which cancel the acoustic echo signals in the stereo acoustic echo canceller. Comparing with the NLMS algorithm which is widely used for simplicity and stability, it shows that this method has the improvement of the convergence performances for signals with the high auto-correlation, and has small computational quantities. To verify the convergence characteristics of the proposed algorithm, we simulated about various input signals. And we compared the results of simulation for this algorithm with the ones for the NLMS algorithm. By these works, it was proved that the stereo acoustic echo canceller adopting the proposed algorithm shows about 3dB more high ERLE than the NLMS algorithm for the white noise signals, and 5dB for the colored voice signals.

The Cubically Filtered Gradient Algorithm and Structure for Efficient Adaptive Filter Design (효율적인 적응 필터 설계를 위한 제 3 차 필터화 경사도 알고리즘과 구조)

  • 김해정;이두수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.11
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    • pp.1714-1725
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    • 1993
  • This paper analyzes the properties of such algorithm that corresponds to the nonlinear adaptive algorithm with additional update terms, parameterized by the scalar factors a1, a2, a3 and Presents its structure. The analysis of convergence leads to eigenvalues of the transition matrix for the mean weight vector. Regions in which the algorithm becomes stable are demonstrated. The time constant is derived and the computational complexities of MLMS algorithms are compared with those of the conventional LMS, sign, LFG, and QFG algorithms. The properties of convergence in the mean square are analyzed and the expressions of the mean square recursion and the excess mean square error are derived. The necessary condition for the CFG algorithm to be stable is attained. In the computer simulation applied to the system identification the CFG algorithm has the more computation complexities but the faster convergence speed than LMS, LFG and QFG algorithms.

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A convergence analysis of a differential method for 2-D motion parameter estimation (미분 추정 기법에 의한 2파원 이동 파라미터 추정의 수렴 특성 분석)

  • 이상희;유국열;김재균
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.7
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    • pp.1869-1882
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    • 1998
  • In this paper, we investigae convergence behaviors of a differential method for 2-D motion parameter estimation. While the differential method is widely studied for motion compensated prediction in video coding, little attention hs been paid to its convergence properties. Based on the nonseparable exponential covariance image model, we derive the estimates of update terms for the 2- and 6-parameter motion models. And, the effect of noise, spatial correlation, choice of spatial gradient measures, andthe size of a region, are quantitatively anlyzed in relation to the convergence speed. Some empirical results are presented to verify the analysis.

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Novel Variable Step-Size Gradient Adaptive Lattice Algorithm for Active Noise Control (능동 소음 제어를 위한 새로운 가변 수렴 상수 Gradient Adaptive Lattice Algorithm)

  • Lee, Keunsang;Kim, Seong-Woo;Im, Jaepoong;Seo, Young-Soo;Park, Youngcheol
    • The Journal of the Acoustical Society of Korea
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    • v.33 no.5
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    • pp.309-315
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    • 2014
  • In this paper, a novel variable step-size filtered-x gradient adaptive lattice (NVSS-FxGAL) algorithm for active noise control system is proposed. The gradient adaptive lattice (GAL) algorithm is capable of controlling the narrow band noise effectively. The GAL algorithm can achieve both fast convergence rate and low steady-state level using the variable step-size. However, it suffers from the convergence performance for varying signal characteristic since the global variable step-size is equally applied to all lattice stages. Therefore, the proposed algorithm guarantees the stable and consistency convergence performance by using the local variable step-size for the suitable each lattice stage. Simulation results confirm that the proposed algorithm can obtain the fast convergence rate and low steady-state level compared to the conventional algorithms.

Convergence Characteristics of Compensation Algorithm in Frequency Selective Fading Channel (주파수 선택성 페이딩 채널에서 보상 알고리즘의 수렴특성)

  • Lee, Seung-Dae
    • Journal of the Korea Computer Industry Society
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    • v.8 no.4
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    • pp.263-268
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    • 2007
  • It applied the linear tapped delay line structure to the least mean square algorithm and the recursive least square algorithm it investigated the mean square error characteristics of compensation algorithm. The purpose of this paper is to propose multi-tap update algorithm, which is superior to compensation capacity of data, and then compare and analyze it from the perspective of convergence characteristics at time invariant transmission channel and frequency selective fading channel.

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Burgers의 난류유동장을 표현하는 K-L 전개와 푸리에 전개의 특성에 관한 연구

  • 박신배;성형진;정명균
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.4
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    • pp.953-959
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    • 1990
  • 본 연구에서는 임의의 순간에서 난류유동장의 난류구조를 해석하기 위하여 Lumley의 특성 에디 분배법을 이용하였다. 이때 난류구조의 해석은 비등질성의 K-L 전개와 등질성의 푸리에 전개로 표현하여 그 수렴성, 레이놀즈 수의 영향 등 여러가지 특성을 연구하였다. 본 연구에서 선정한 비등질성 난류유동장은 Chambers등이 연구 한 랜덤력을 갖는 Burgers 방정식을 수치적으로 풀어서 얻었다. 이와 같은 난류유동 장을 K-L전개와 푸리에 전개로 표현할 때에 수렴성은 레이놀즈 수가 서로 다르고 또한 전개항의 수가 다를 때에 RMS 오차를 가지고 비교하였다.여기서 푸리에 전개 계수 들은 Galerkin 방법으로 구하였다.

Signal Interference Rejection using Data-Recycling LMS Algorithm in Digital Communication System (디지털 통신 시스템에서 데이터-재순환 LMS 알고리즘을 이용한 신호 간섭 제어)

  • 김원균;나상동
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.9A
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    • pp.1329-1338
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    • 1999
  • In this paper, an efficient signal interference control technique to improve the convergence speed of LMS algorithm is introduced. The convergence characteristics of the proposed algorithm, whose coefficients are multiply adapted in a symbol time period by recycling the received data, are analyzed to prove theoretically the improvement of convergence speed. According as the step-size parameter $\mu$ is increased, the rate of convergence of the algorithm is controlled. Also, a increase in the step-size parameter $\mu$ has the effect of reducing the variation in the experimentally computed learning curve. Increasing the eigenvalue spread has the effect of controlling down the rate of convergence of the adaptive equalizer and also increasing the steady-state value of the mean squared error and also demonstrate the superiority of signal interference control to the filter algorithm increasing convergence speed by (B+1) times due to the data-recycling LMS technique.

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Blind Equalization Algorithm Using A Variable Step-Size (가변 Step-Size를 갖는 블라인드 등화 알고리즘)

  • Choi, Ik-Hyun;Kim, Chul-Min;Oh, Kil-Nam;Choi, Soo-Chul
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2005.11a
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    • pp.317-320
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    • 2005
  • 기존의 블라인드 등화(blind equalization) 알고리즘의 step-size는 임의의 값을 알고리즘에 적용하여 수렴속도와 정상 상태의 특성을 고려하여 최적한 step-size를 결정하였다. step-size를 크게 하면 수렴속도는 빠른 반면에 정상 상태에서 에러가 크고, step-size를 작게 하면 수렴속도는 느린 반면에 정상 상태에서 에러가 작아진다. 그렇기 때문에 수렴속도와 정상 상태를 고려해서 step-size를 결정해야 되고, 특별하게 정해지는 기준이 없기 때문에 연구자의 판단에 의해서 다르게 선택된다. 본 논문에서는 등화기 출력의 잔류 심벌간 간섭에 따라 step-size를 가변함으로서 수렴속도 및 정상 상태 성능을 개선한 가변 step-size를 갖는 블라인드 등화 알고리즘을 제안한다.

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Study on the Improvement of Accuracy in a Plain Slope Analysis Using the Bundle Adjustment (번들조정법에 의한 지상시설물 경사면 해석의 정확도 향상에 관한 연구)

  • 유복모;조기성;허두홍
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.7 no.1
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    • pp.59-65
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    • 1989
  • In this study, improvement of accuracy in a plain slope analysis is a main object using the bundle adjustment with changing the convergent angles and the configurations of control points when we can't take convergent case because of poor environment around establishment and cultural assets. From converged photographing using the angle of deviation, it was possible to improve accuracy in a plain slope analysis.

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