• Title/Summary/Keyword: Frequency domain solution

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Application of wavelet transform in electromagnetics (Wavelet 변환의 전자기학적 응용)

  • Hyeongdong Kim
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.9
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    • pp.1244-1249
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    • 1995
  • Wavelet transform technique is applied to two important electromagnetic problems:1) to analyze the frequency-domain radar echo from finite-size targets and 2) to the integral solution of two- dimensional electromagnetic scattering problems. Since the frequency- domain radar echo consists of both small-scale natural resonances and large-scale scattering center information, the multiresolution property of the wavelet transform is well suited for analyzing such ulti-scale signals. Wavelet analysis examples of backscattered data from an open- ended waveguide cavity are presented. The different scattering mechanisms are clearly resolved in the wavelet-domain representation. In the wavelet transform domain, the moment method impedance matrix becomes sparse and sparse matrix algorithms can be utilized to solve the resulting matrix equationl. Using the fast wavelet transform in conjunction with the conjugate gradient method, we present the time performance for the solution of a dihedral corner reflector. The total computational time is found to be reduced.

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Analysis of elastic wave propagation in long beam using Fourier transformation

  • Mohammad Tahaye Abadi
    • Structural Engineering and Mechanics
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    • v.87 no.2
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    • pp.165-172
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    • 2023
  • This paper presents a novel method for modeling elastic wave propagation in long beams. The proposed method derives a solution for the transient transverse displacement of the beam's neutral axis without assuming the separation of variables (SV). By mapping the governing equation from the space domain to the frequency domain using Fourier transformation (FT), the transverse displacement function is determined as a convolution integral of external loading functions and a combination of trigonometric and Fresnel functions. This method determines the beam's response to general loading conditions as a linear combination of the analytical response of a beam subjected to an abrupt localized loading. The proposed solution method is verified through finite element analysis (FEA) and wave propagation patterns are derived for tone burst loading with specific frequency contents. The results demonstrate that the proposed solution method accurately models wave dispersion, reduces computational cost, and yields accurate results even for high-frequency loading.

3_D Time-Domain Analysis on the Motion of a Ship Advancing in Waves (파중 진행하는 선박의 3차원 시간영역 운동해석)

  • 홍도천;하태범;김대헌;송강현
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2001.10a
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    • pp.164-168
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    • 2001
  • The motion of a ship advancing in regular waves is analyzed in the time-domain using the convolution integral of the radiation forces. The memory effect functions and infinite frequency added masses are obtained from the solution of the three dimensional improved Green integral equation in the frequency domain by making use of the Fourier transformation. The ship motions in regular waves have been calculated by both the time and frequency domain methods. It has been shown that they agree very well with each other. The present time-domain method can be used to predict the time histories of unsteady motions in irregular waves. It can also be used to calculate the hydrostatic and Froude-Krylov forces over the instantaneous wetted surface of the ship hull to predict large ship motions, in a practical sense, advancing in large amplitude waves.

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Transient Response of Magnetic Field Integral Equation Using Laguerre Polynomials as Temporal Expansion Functions (라겐르 함수를 시간영역 전개함수로 이용한 자장 적분방정식의 과도 응답)

  • 정백호;정용식
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.52 no.4
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    • pp.185-191
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    • 2003
  • In this Paper, we propose an accurate and stable solution of the transient electromagnetic response from three-dimensional arbitrarily shaped conducting objects by using a time domain magnetic field integral equation. This method does not utilize the conventional marching-on in time (MOT) solution. Instead we solve the time domain integral equation by expressing the transient behavior of the induced current in terms of temporal expansion functions with decaying exponential functions and Laguerre·polynomials. Since these temporal expansion functions converge to zero as time progresses, the transient response of the induced current does not have a late time oscillation and converges to zero unconditionally. To show the validity of the proposed method, we solve a time domain magnetic field integral equation for three closed conducting objects and compare the results of Mie solution and the inverse discrete Fourier transform (IDFT) of the solution obtained in the frequency domain.

Design of Zero-phase FIR Filters Through the Modeling and Analysis of A Frequency-domain Error Function (주파수영역 오차함수의 모델링과 분석을 통한 제로위상 FIR 필터 설계)

  • Jeon, Joon-Hyeon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.7C
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    • pp.451-458
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    • 2011
  • Maximally flat (MAXFLAT) FIR filter design provides the advantage of giving a closed-form solution, but there still remains a problem of exactly and efficiently choosing the order of flatness for the accurate design of filters. This paper provides, through the modeling and analysis of a frequency-domain error function in the closed-form solution, how to determine the order of flatness. A proposed method, based on the frequency-domain error function, is accomplished by computing a minimum distance between its peak frequency and specified cutoff frequency. It is also shown that the proposed scheme is computationally efficient and accurate than the empirical formula given by Herrmann.

Error Analysis in the Numerical Solution of Rayleigh Integral (Rayleigh 적분의 수치해에 관한 오차분석)

  • 이금원;김병기
    • Journal of Biomedical Engineering Research
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    • v.11 no.1
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    • pp.89-96
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    • 1990
  • The numerical evaluation of Rayleigh's integral for the sound source reconstruction can be speeded up by the use of angular frequency propagation method and the FFT. However, are several source of errors involved during the reconstruction. Besides the aliasing error due to undersampling in space, the wrap around error. which is caused by undersampling the kernel functionin frequency domain, and windowing effect are present. We found that there is no replicated source problem and the windowing effect is due to the windowing the kernel function In frequency domain, and, xero padding is always required to improve the quality of reconstruction.

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Analysis of Subjective Sound Quality Characteristics for the HVAC using the Design of Experiments : Sharp, Annoy (실험계획법을 이용한 차량공조시스템의 음질 특성 분석)

  • Yun, Tae-Kun;Sim, Hyun-Jin;Lee, Jung-Youn;Oh, Jae-Eung;Kim, Sung-Soo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.634-637
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    • 2005
  • A subjective index of sound quality when it hit him is required since human listening is very sensitive and complex. Sound quality evaluation it leads consequently rightly in each situation and it composes a sound quality factor. But one of the levels in interest frequency range is substitute we cannot see the tendency of frequency substitute at whole that is executes a clear voice evaluation. Design of experiment is used and dividing 12 equally in frequency domain, the sound quality using sharpness and annoyance is performed by modifying each of frequency domains. Design of experiment method reduces much number experiment very effectively and each main effect of domain solution analysis, such as a case of sharpness and annoyance, the change of domain (increase and decrease of sound pressure level, or change nil) can grasp a type of effect should have influenced to a sound quality, and it will be able to select the objective frequency domain which hits to the sound quality. Through these obtained results the physical changes of level at arbitrary frequency domain sensitivity can be adapted.

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A Study on the Design of a Digital Hearing Aids Signal Processing System in the Wavelet Transform Domain (WT평면에서의 디지탈 청각 보조 신호 처리 시스템의 설계)

  • 이현철;석광원
    • Journal of Biomedical Engineering Research
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    • v.17 no.3
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    • pp.347-354
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    • 1996
  • This paper presents digital hearing aids signal processing system in WT(wavelet transform) domain. For implementation of hearing aids in WT domain, the gain in frequency domain is approximated in WT domain. We also present the gain selection algorithm to deal with the change of input signal power. Most transform methods produce blocking effect, and this effect degrades the convergence rate of feedback canceller. As a solution, we proposed wavelet transform bascd feedback canceller. To evaluate the performance, we compared it with LOT (lapped orthogonal transform) method in the frequency domain. This system has not shown the blocking effect, and improves convergence rate as compared with the LOT based feedback canceller.

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A STUDY ON NONSTATIONARY RANDOM VIBRATION OF A VEHICLE IN TIME AND FREQUENCY DOMAINS

  • Zhang, L.J.;Lee, C.M.;Wang, Y.S.
    • International Journal of Automotive Technology
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    • v.3 no.3
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    • pp.101-109
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    • 2002
  • A time domain method for solving nonstationary random vibration caused by vehicle acceleration is first proposed in which a time changing model is established for representing nonstationary excitation of a rough road. Furthermore a novel frequency domain method called the transient power spectral density with spatial frequency (TPSD) is presented to obtain a response of vehicle system in frequency domain. This method has been proved to be valid by comparing numerical results with the exact solution.

Analysis of Transient Scattering from Arbitrarily Shaped Three-Dimensional Conducting Objects Using Combined Field Integral Equation (결합 적분방정식을 이용한 삼차원 임의형태 도체 구조물의 전자파 지연산란 해석)

  • Jung, Baek-Ho
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.51 no.11
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    • pp.551-558
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    • 2002
  • A time-domain combined field integral equation (CFIE) is presented to obtain the transient scattering response from arbitrarily shaped three-dimensional conducting bodies. This formulation is based on a linear combination of the time-domain electric field integral equation (EFIE) with the magnetic field integral equation (MFIE). The time derivative of the magnetic vector potential in EFIE is approximated using a central finite difference approximation and the scalar potential is averaged over time. The time-domain CFIE approach produces results that are accurate and stable when solving for transient scattering responses from conducting objects. The incident spectrum of the field may contain frequency components, which correspond to the internal resonance of the structure. For the numerical solution, we consider both the explicit and implicit scheme and use two different kinds of Gaussian pulses, which may contain frequencies corresponding to the internal resonance. Numerical results for the EFIE, MFIE, and CFIE are presented and compared with those obtained from the inverse discrete Fourier transform (IDFT) of the frequency-domain CFIE solution.