• Title/Summary/Keyword: Adaptive LMS algorithm

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A Study on Applying the ${\mu}$-LMS Algorithm to the Adaptive Antenna Systems (${\mu}$-LMS 알고리즘의 적응 안테나 시스템에의 응용에 관한 연구)

  • Shin, Yoon-Ki
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.23 no.2
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    • pp.170-177
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    • 1986
  • The adaptive array antenna with the LMS algorithm has the advantage in that it can perform train't because of its slower convergencerate. In this paper, the \ulcornerLMS algorithm is applied to the adaptive array so that the convergence rate can be improved, and the performance of he adaptive array by the \ulcornerLMS algorithm is compared to, that of the LMS adaptive array. It is shown that the adaptive array by the \ulcornerLMS algorithm is superior to the LMS adaptive array in the narrow frequency band.

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The Frequency-Domain LMS Second-order Adaptive Volterra Filter and Its Analysis (주파수영역LMS 2차 적수Volterra 필터와 그 분석)

  • 정익주
    • The Journal of the Acoustical Society of Korea
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    • v.12 no.1
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    • pp.37-46
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    • 1993
  • The adaptive algorithm for the Volterra filter is considered. Owing to its simplicity, the LMS algorithm for adaptive Volterra filter(AVF) is widely used as in linear adaptive filters. However, the convergence speed is unsatisfactory. For improving the convergence speed, the frequency domain LMS second order adaptive Volterra filter(FLMS-AVF) is proposed and analyzed. We show that the time and frequency domain LMS AVF's have the same steady state performance under approprate conditons. Moreover, it can be shown that this algorithm can improve the convergence speed significantly by applying self-orthogonalizing method.

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Block LMS-Based Adaptive Beamforming Algorithm for Smart Antenna (스마트 안테나를 위한 블록 LMS 기반 적응형 빔형성 알고리즘)

  • O, Jeong-Geun;Kim, Seong-Hun;Yu, Gwan-Ho
    • Proceedings of the KIEE Conference
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    • 2003.11c
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    • pp.689-692
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    • 2003
  • In this paper, we propose an adaptive beamforming algorithm for array antenna. The proposed beamforming algorithm, based on Block LMS (Block - Least Mean Squares) algorithm, has a variable step size from coefficient update. This method shows some advantages that the convergence speed is fast and the calculation time can reduced using a block LMS algorithm from frequency domain. As the adaptive parameter approaches a stationary state, it could reduce the number of filter coefficient update with the help of various step size. In this paper we compared the efficiency of the proposed algorithm with a standard LMS algorithm which is a representative method of adaptive beamforming.

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Variable Step LMS Algorithm using Fibonacci Sequence (피보나치 수열을 활용한 가변스텝 LMS 알고리즘)

  • Woo, Hong-Chae
    • Journal of the Institute of Convergence Signal Processing
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    • v.19 no.2
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    • pp.42-46
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    • 2018
  • Adaptive signal processing is quite important in various signal and communication environments. In adaptive signal processing methods since the least mean square(LMS) algorithm is simple and robust, it is used everywhere. As the step is varied in the variable step(VS) LMS algorithm, the fast convergence speed and the small excess mean square error can be obtained. Various variable step LMS algorithms are researched for better performances. But in some of variable step LMS algorithms the computational complexity is quite large for better performances. The fixed step LMS algorithm with a low computational complexity merit and the variable step LMS algorithm with a fast convergence merit are combined in the proposed sporadic step algorithm. As the step is sporadically updated, the performances of the variable step LMS algorithm can be maintained in the low update rate using Fibonacci sequence. The performances of the proposed variable step LMS algorithm are proved in the adaptive equalizer.

Adaptive Searching Channel Estimate Algorithm for IMT-Advanced Repeater (차세대 이동통신 중계시스템용 적응형 탐색 채널추정 알고리듬 연구)

  • Lee, Suk-Hui;Lee, Sang-Soo;Lee, Kwang-Ho;Bang, Sung-Il
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.46 no.11
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    • pp.32-39
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    • 2009
  • In this thesis, design effective elimination interference algorithm of ICS repeat system for repeater that improve frequency efficiency. Gennerally, LMS Algorithm apply to ICS repeat system. Error convergence speed and accuracy of LMS Algorithm are influenced by reference signal. For improve LMS Algorithm, suggest Adaptive searching channel estimate algorithm. For using channel characteristic, adaptive searching channel estimate algorithm make reference signal similar interference signal by convolution operation and complement LMS algorithm demerit. For make channel similar pratical channel, apply Jake's Rayleigh multi-path model. LMS algorithm and suggested adaptive searching channel estimate algorithm that have 16 taps apply to ICS repeat system under Rayleigh multi-path channel, so simulate with MATLAB. According to simulate, ICS repeat system with LMS algorithm show -40 dB mean square error convergent after 110 datas iteration and ICS repeat system with adaptive searching channel estimate algorithm show -80 dB mean square en-or convergent after 120 datas iteration. Analyze simulation result, suggested adaptive searching channel estimate algorithm show 40 dB accuracy than LMS algorithm.

Stabilized Adaptive Fuzzy LMS Algorithms for Active Noise Control (능동소음제어를 위한 안정화된 퍼지 LMS 알고리즘)

  • Ahn, Dong-Jun;Baek, Kwang-Hyun;Nam, Hyun-Do
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.1
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    • pp.150-155
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    • 2011
  • In an active noise control systems, an IIR filter may cause a problem in stability beacause of its poles. For IIR filter, its poles goes sometimes out of a unit circle in a z-plane in the transition state, where the adaptive algorithm converges to the optimum value, which causes the system to diverge. Fuzzy LMS algorithm has a better convergence property than conventional LMS algorithms, but is not applicable to IIR filter because of the reasons. Stabilized adaptive algorithm could be improves stability by moving the pole of IIR filer toward the origin forcibly in the transient state, and by introducing forgetting factor to maintain the optimum convergence when it reaches to the steady state. In this paper, We proposed stabilized adaptive fuzzy LMS algorithms with IIR filter structures, for single channel active noise control with ill conditioned signal case. Computer simulations were performed to show the effectiveness of a proposed algorithm.

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.

Performance Analysis of Liner Adaptive Equalizer for HDR-WPAN System (HDR-WPAN 시스템을 위한 선형 적응 등화기 성능분석)

  • Park Ji-Woo;Yun Han-Kyung;Jeong Goo-Cheol;Kim Jea-Young;Oh Chang-Heon
    • Journal of Digital Contents Society
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    • v.5 no.4
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    • pp.295-299
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    • 2004
  • In this paper, we compare and analyze the LMS ard RLS algorithm of IEEE802.15.3(HDR-WPAN) system. The LMS algorithm have two merits that easily embody and not complex, but convergence speed is slow. The RLS algorithm have fast convergence speed, but very complex. When equalization using LMS algorithm, it can achieve adaptive equalization after 250 sample in fading environment, but case of RLS algorithm can achieve adaptive equalization after just 50 sampls. The computer simulation proved that adaptive equalizer to fast equalization and stability of HDR-WPAN system is more effective using RLS algorithm then LMS algorithm.

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A Study on the Fast Converging Algorithm for LMS Adaptive Filter Design (LMS 적응 필터 설계를 위한 고속 수렴 알고리즘에 관한 연구)

  • 신연기;이종각
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.19 no.5
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    • pp.12-19
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    • 1982
  • In general the design methods of adaptive filter are divided into two categories, one is based upon the local parameter optimization theory and the other is based upon stability theory. Among the various design techniques, the LMS algorithm by steepest-descent method which is based upon local parameter optimization theory is used widely. In designing the adaptive filter, the most important factor is the convergence rate of the algorithm. In this paper a new algorithm is proposed to improve the convergence rate of adaptive firter compared with the commonly used LMS algorithm. The faster convergence rate is obtained by adjusting the adaptation gain of LMS algorithm. And various aspects of improvement of the adaptive filter characteristics are discussed in detail.

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Deterministic Function Variable Step Size LMS Algorithm (결정함수 가변스텝 LMS 알고리즘)

  • Woo, Hong-Chae
    • Journal of the Institute of Convergence Signal Processing
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    • v.12 no.2
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    • pp.128-132
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    • 2011
  • Least mean square adaptive algorithms have played important role in radar, sonar, speech processing, and mobile communication. In mobile communication area, the convergence rate of a LMS algorithm is quite important. However, LMS algorithms have slow and non-uniform convergence rate problem For overcoming these shortcomings, various variable step LMS adaptive algorithms have been studied in recent years. Most of these recent LMS algorithms have used complex variable step methods to get a rapid convergence. But complex variable step methods need a high computational complexity. Therefore, the main merits such as the simplicity and the robustness in a LMS algorithm can be eroded. The proposed deterministic variable step LMS algorithm is based upon a simple deterministic function for the step update so that the simplicity of the proposed algorithm is obtained and the fast convergence is still maintainable.