• Title/Summary/Keyword: Nonlinear array

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A Study on the Evaluation of Soil Nonlinear Characteristics by Seismic Recorded Data at Downhole Array (Downhole 지진계측자료에 의한 지반의 비선형성 평가에 관한 연구)

  • 장정범;서용표;이종림;이계희
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.6
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    • pp.29-35
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    • 2001
  • The soil-structure interaction(SSI) analysis is essential to soil site where shear wave velocity is less than 1,050 m/sec and soil nonlinear characteristics for this kind of soil site have to be considered in SSI analysis. In order to consider soil nonlinear characteristics in the SSI analysis, simple and reliable soil nonlinear evaluation technique with seismic recorded data at downhole array is proposed in this study. The SSI analysis is carried out in order to prove the reliability of the proposed evaluation technique with Hualien large scale seismic test(HLSST) site in Taiwan. The analytical result are compared with Hualien earthquake recorded data and the analytical results with SHAKE program which is prevailed at present. As a result, the proposed evaluation technique shows a good agreement with both the Hualien earthquake recorded data and the analytical result with SHAKE program and the reliability and usefulness are confirmed.

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MULTIPLE SOLUTIONS FOR EQUATIONS OF p(x)-LAPLACE TYPE WITH NONLINEAR NEUMANN BOUNDARY CONDITION

  • Ki, Yun-Ho;Park, Kisoeb
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.6
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    • pp.1805-1821
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    • 2016
  • In this paper, we are concerned with the nonlinear elliptic equations of the p(x)-Laplace type $$\{\begin{array}{lll}-div(a(x,{\nabla}u))+{\mid}u{\mid}^{p(x)-2}u={\lambda}f(x,u) && in\;{\Omega}\\(a(x,{\nabla}u)\frac{{\partial}u}{{\partial}n}={\lambda}{\theta}g(x,u) && on\;{\partial}{\Omega},\end{array}$$ which is subject to nonlinear Neumann boundary condition. Here the function a(x, v) is of type${\mid}v{\mid}^{p(x)-2}v$ with continuous function $p:{\bar{\Omega}}{\rightarrow}(1,{\infty})$ and the functions f, g satisfy a $Carath{\acute{e}}odory$ condition. The main purpose of this paper is to establish the existence of at least three solutions for the above problem by applying three critical points theory due to Ricceri. Furthermore, we localize three critical points interval for the given problem as applications of the theorem introduced by Arcoya and Carmona.

Hardware Implementation of a Neural Network Controller with an MCU and an FPGA for Nonlinear Systems

  • Kim Sung-Su;Jung Seul
    • International Journal of Control, Automation, and Systems
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    • v.4 no.5
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    • pp.567-574
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    • 2006
  • This paper presents the hardware implementation of a neural network controller for a nonlinear system with a micro-controller unit (MCU) and a field programmable gate array (FPGA) chip. As an on-line learning algorithm of a neural network, the reference compensation technique has been implemented on an MCU, while PID controllers with other functions such as counters and PWM generators are implemented on an FPGA chip. Interface between an MCU and a field programmable gate array (FPGA) chip has been developed to complete hardware implementation of a neural controller. The developed neural control hardware has been tested for balancing the inverted pendulum while controlling a desired trajectory of a cart as a nonlinear system.

Audio Signal Processing using Parametric Array with KZK Model (KZK 모델을 이용한 파라메트릭 어레이 음향 신호 처리)

  • Lee, Chong-Hyun;Samuel, Mano;Lee, Jea-Il;Kim, Won-Ho;Bae, Jin-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.9 no.5
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    • pp.139-146
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    • 2009
  • Parametric array for audio applications is analyzed by numerical modeling and analytical approximation. The nonlinear wave equations are used to provide design guidelines for the audio parametric array. A time domain finite difference code that accurately solves the KZK (Khokhlov-Zabolotskaya-Kuznetsov) nonlinear parabolic wave equation is used to predict the response of the parametric array. The time domain code relates the source size and the carrier frequency to the audible signal response including the output level and beamwidth to considering the implementation issues for audio applications of the parametric array, the emphasis is given to the frequency response and distortion. We use the time domain code to find out the optimal parameters that will help produce the parametric array with highest achievable output in terms of the average power within the demodulated signal. Parameters such as primary input frequency, audio source radius and the modulation method are given utmost importance. The output effect of those parameters are demonstrated through the numerical simulation.

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A Beamforming Method for a Perturbed Linear Towed Array (비선형 형상 견인 어레이를 위한 빔형성 기법)

  • 김승일;도경철;오원천;윤대희;이충용
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.5
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    • pp.478-484
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    • 2002
  • Linear towed arrays (LTA) have a nonlinear shape due to tow vessel motion, ocean swells and currents. By reasons of nominally linear shape, various towed array shape estimation techniques have been developed since the perturbed shape cause the error in target detection. In this paper,, we propose the beamforming method for the perturbed LTA with simple structure. The proposed method linearizes a nonlinear phase of steering vector with position information measured by two reference sensors. It can be proved using some properties of Markov transition matrix, and iteration number of linearization process is decided by variance of cross phase difference. As a result of computer simulation in the ocean environment, beampattern of the proposed method is almost same with the ideal case in my type of array shape. In the signal-to-noise ratio (SNR) performance simlation, the DOA estimation performance of the proposed beamforming method is evaluated, and the comparison with Bartlett beamformer of the LTA shows that the proposed method can estimate. the spatial characteristic of sources more accuracy.

Sound Source Detection Technique Considering the Effects of Source Bandwidth and Measurement Noise Correlation (소음원 대역폭과 측정잡음의 상관관계를 고려한 소음원 탐지기법)

  • 윤종락
    • The Journal of the Acoustical Society of Korea
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    • v.20 no.2
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    • pp.86-92
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    • 2001
  • Various array processing techniques to identify the noise source position or bearing have been developed. Typical array processing techniques which are based on time delay between received signals at two sensors, are classified as conventional beamforming, correlation function and NAH (Near-Field Acoustic Holography) techniques which have their own characteristics with respect to application field and signal processing method. In this study, correlation function technique which could be applied for broadband noise source detection, is adopted and the effective detection technique is proposed considering the effects of source bandwidth and measurement noise correlation of noise sources. The validity of the Proposed technique is evaluated using the 3-dimensional nonlinear any which does not give 3-dimensional Position or bearing ambiguity

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A Sensing System of the Halbach Array Permanent Magnet Spherical Motor Based on 3-D Hall Sensor

  • Li, Hongfeng;Liu, Wenjun;Li, Bin
    • Journal of Electrical Engineering and Technology
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    • v.13 no.1
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    • pp.352-361
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    • 2018
  • This paper proposes a sensing system of the Halbach array permanent magnet spherical motor(PMSM). The rotor position can be obtained by solving three rotation angles, which revolves around 3 reference axes of the stator. With the development of 3-D hall sensor, the position identification problem of the Halbach array PMSM based on rotor magnetic field is studied in this paper. A nonlinear and serious coupling relationship between the rotation angles and the measured magnetic flux density is established on the basis of the rotation transformation theory and the magnetic field model. In order to get rid of the influence on position detection caused by the harmonics of rotor magnetic field and the stator coil magnetic field, a sensor location combination scheme is proposed. In order to solve the nonlinear equation fast and accurately, a new position solution algorithm which combines the merits of gradient projection and particle swarm optimization(PSO) is presented. Then the rotation angles are obtained and the rotor position is identified. The validity of the sensing system is verified through the simulation.

A Low-Complexity Planar Antenna Array for Wireless Communication Applications: Robust Source Localization in Impulsive Noise

  • Lee, Moon-Sik
    • ETRI Journal
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    • v.32 no.6
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    • pp.837-842
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    • 2010
  • This paper proposes robust source localization methods for estimating the azimuth angle, elevation angle, velocity, and range using a low-complexity planar antenna array in impulsive non-Gaussian noise environments. The proposed robust source localization methods for wireless communication applications are based on nonlinear M-estimation provided from Huber and Hampel. Simulation results show the robustness performance of the proposed robust methods in impulsive non-Gaussian noise.

Active Audition System based on 2-Dimensional Microphone Array (2차원 마이크로폰 배열에 의한 능동 청각 시스템)

  • Lee, Chang-Hun;Kim, Yong-Ho
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.175-178
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    • 2003
  • This paper describes a active audition system for robot-human interface in real environment. We propose a strategy for a robust sound localization and for -talking speech recognition(60-300cm) based on 2-dimensional microphone array. We consider spatial features, the relation of position and interaural time differences, and realize speaker tracking system using fuzzy inference profess based on inference rules generated by its spatial features.

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