• Title/Summary/Keyword: 푸리에 스펙트럴 법

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2-D Pseudo-spectral Acoustic Propagation Modeling for Ocean Environment (2차원 유사 스펙트럴 해양 음전달 모델링)

  • Kim Keesan;Seong Woojae
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.425-428
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    • 2004
  • 본 논문에서는 시간영역에서 해양 음 전달 해석을 위해 엇갈림 격자에서 유사 스펙트럴 알고리듬을 기반으로 한 전산조직을 개발하였다. 유사 스펙트럴 방법은 파수 영역에서 파수에 음압의 푸리에 변환을 곱한 후 이를 역 푸리에 변환함으로서 공간 도함수를 구하는 방법이다. 유사 스펙트럴 방법은 빠른 푸리에 변환법의 사용으로 계산속도가 빠르며, 엇갈림 격자에서 이 방법을 사용하면 음 전달 현상을 정확하고 안정되게 모사할 수 있다. 무한 및 반무한 영역에서 이 알고리듬에 의한 결과가 해석해와 잘 일치함을 확인하였고, 다양한 해양환경에서 시간영역 모델링을 수행하여 스냅사진을 얻어내었으며 이 스냅사진을 통해 복잡한 해양환경에서 신호의 전파 현상을 파악할 수 있었다.

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Spectral Analysis Method for the Dynamic Response of Linear Discrete Systems (선형 이산계의 동적응답을 위한 스펙트럴해석법)

  • Kim, Sung-Hwan;Lee, U-Sik
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1654-1659
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    • 2003
  • This paper introduces a fast Fourier transform (FFT)-based spectral analysis method for the transient responses as well as the steady-state responses of linear discrete systems. The force vibration of a viscously damped three-DOF system is considered as the illustrative numerical example. The proposed spectral analysis method is evaluated by comparing with the exact analytical solutions as well as with the numerical solutions obtained by the Runge-Kutta method.

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Computation of Wake Vortex Behavior Behind Airplanes in Close Formation Flight Using a Fourier-Spectral Method (푸리에-스펙트럴 법을 사용한 근접 편대비행 항공기의 와 거동 계산)

  • Ji, Seunghwan;Han, Cheolheui
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.48 no.1
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    • pp.1-11
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    • 2020
  • Behaviors of wake vortices generated by an aircraft affect the performance and flight stability of flying aircraft in formation flight. In the present study, the trajectories of the wake vortices behind airplanes in close formation flight were computed using a Fourier spectral method. The behavior of wake vortices showed complex patterns depending on the initial circulation and the relative positions between the vortices. In the initial stage, the wake vortex movement was affected by the nascent vortex. When the vortex becomes closer to the other vortex, then a new trajectory is formed. When the viscous effect becomes dominant, the core radius increases. Thus, a new vortex moving near the existing vortex can have strong interaction with each other, resulting in the complicated behavior of wake vortices. In the future, the ground effect on the behavior of the wake vortices during take-off and landing will be studied.

A SPECTRAL ANALYSIS METHOD FOR SPECTRAL ELEMENT MODELS (스펙트럴 요소 모델을 이용한 스펙트럴 해석법)

  • Cho J.;Yoon D.;Hwang I.;Lee U.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.409-414
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    • 2005
  • In the literatures, the FFT-based SAM has been well applied to the computation of the steady-state responses of discrete dynamic systems. In this paper, a fast fourier transforms (FFT)-based spectral analysis method (SAM) is proposed fur the dynamic analysis of spectral element models subjected to the non-zero initial conditions. However, the FFT-based SAM has not yet been developed for the continuous systems represented by the spectral element model.

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Spectral Analysis Method for the Discrete Systems with Initial Conditions (초기조건을 갖는 이산계의 과도응답에 대한 스펙트럴해석법)

  • Kim Sunghwan;Cho Jooyong;Lee Usik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.4 s.235
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    • pp.578-583
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    • 2005
  • This paper introduces a fast Fourier transform (FFT)-based spectral dynamic analysis method for the transient responses as well as the steady-state responses of the linear discrete systems subject to non-zero initial conditions. The forced vibration of a viscously damped three-DOF system is considered as the illustrative numerical example. The proposed spectral analysis method is evaluated by comparing its results with the exact analytical solutions and the numerical solutions obtained by the Runge-Kutta method.

FFT-based Spectral Analysis Method for Linear Discrete Structural Dynamics Models with Non-Proportional Damping (비 비례적 감쇠를 갖는 선형 이산 구조동력학 모델에 대한 FFT-활용 스펙트럴해석법)

  • Lee U-sik;Cho Joo-yong
    • Journal of the Korean Society for Railway
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    • v.9 no.1 s.32
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    • pp.63-68
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    • 2006
  • This paper proposes a fast Fourier transform(FFT)-based spectral analysis method(SAM) for the dynamic responses of the linear discrete dynamic models with non-proportional damping. The SAM was developed by using discrete Fourier transform(DFT)-theory. To verify the proposed SAM, a three-DOF system with non-proportional viscous damping is considered as an illustrative example. The present SAM is evaluated by comparing the dynamic responses obtained by SAM with those obtained by Runge-Kutta method.

Analysis of Acoustic Propagation using Spectral Parabolic Equation Method (스펙트럴 포물선 방정식 법을 이용한 수중음파 전달해석)

  • Kim, Kook-Hyun;Seong, Woo-Jae
    • The Journal of the Acoustical Society of Korea
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    • v.15 no.2
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    • pp.72-78
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    • 1996
  • This thesis deals with a method to solve a two-and-one-half-dimensional ($2\frac12$ D) problem, which means that the ocean environment is two-dimensional whereas the source is fully three-dimensionally propagating, including three-dimensional refraction phenomena and three-dimensional back-scattering, using two-dimensional two-way parabolic equation method combined with Fourier synthesis. Two dimensional two-way parabolic equation method uses Galerkin's method for depth and Crank-Nicolson method and alternating direction for range and provides a solution available to range-dependent problem with wave-field back-scattered from discontinuous interface. Since wavenumber, k, is the function of depth and vertical or horizontal range, we can reduce a dimension of three-dimensional Helmholtz equation by Fourier transforming in the range direction. Thus transformed two-dimensional Helmholtz equation is solved through two-way parabolic equation method. Finally, we can have the $2\frac12$ D solution by inverse Fourier transformation of the spectral solution gained from in the last step. Numerical simulation has been carried out for a canonical ocean environment with stair-step bottom in order to test its accuracy using the present analysis. With this spectral parabolic equation method, we have examined three-dimensional acoustic propagation properties in a specified site in the Korean Straits.

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Stability of the Divergent Barotropic Rossby-Haurwitz Wave (발산 순압 로스비-하우어비츠 파동의 안정성)

  • Jeong, Han-Byeol;Cheong, Hyeong-Bin
    • Journal of the Korean earth science society
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    • v.37 no.2
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    • pp.107-116
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    • 2016
  • Stability of the barotropic Rossby-Haurwitz wave is investigated using the numerical models on the global domain. The Rossby-Haurwitz wave under investigation is composed of the basic zonal flow of super-rotation and a finite amplitude spherical harmonic wave. The Rossby-Haurwitz wave is given as either steady or unsteady wave by adjusting the strength of the super-rotating zonal flow. Stability as well as the growth rate of the wave in the numerical simulation is determined by comparing the perturbation amplitude at two different time stages. Unstable modes of the Rossby-Haurwitz wave exhibited a horizontal structure composing of various zonal-wavenumber components. The vorticity perturbation for some modes showed a discontinuity around the area of weak flow, which was found robust regardless of the horizontal resolution of the model. Fourier finite element model was shown to generate the unstable mode in earlier stage of the time integration due to less accuracy compared to the spherical harmonic spectral model. Taking the overall accuracy of the models into consideration, the time by which the unstable mode begin to dominate over the spherical harmonic wave was estimated.

Design of the Noise Suppressor Using Wavelet Transform (웨이블릿 변환을 이용한 잡음제거기 설계)

  • 원호진;김종학;이인성
    • The Journal of the Acoustical Society of Korea
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    • v.20 no.7
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    • pp.37-46
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    • 2001
  • This paper proposes a new noise suppression method using the Wavelet transform analysis. The noise suppressor using the Wavelet transform shows the more effective advantages in a babble noise than one using the short-time Fourier transform. We designed a new channel structure based on spectral subtraction of Wavelet transform coefficients and used the Wavelet mask pattern with more higher time resolution in high frequency. It showed a good adaptation capability for babble noise with a non-stationary property. To evaluate the performance of proposed noise canceller, the informal subjective listening tests (Mos tests) were performed in background noise environments (car noise, street noise, babble noise) of mobile communication. The proposed noise suppression algorithm showed about MOS 0.2 performance improvements than the suppression algorithm of EVRC in informal listening tests. The noise reduction by the proposed method was shown in spectrogram of speech signal.

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