• Title/Summary/Keyword: 역행렬법

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A New Pseudoinverse Matrix Method For Balancing Chemical Equations And Their Stability (화학반응식 균형과 안정성을 위한 새로운 유사 역행렬법)

  • Risteski, Ice B.
    • Journal of the Korean Chemical Society
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    • v.52 no.3
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    • pp.223-238
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    • 2008
  • this work is given a new pseudoniverse matrix method for balancing chemical equations. Here offered method is founded on virtue of the solution of a Diophantine matrix equation by using of a Moore-Penrose pseudoinverse matrix. The method has been tested on several typical chemical equations and found to be very successful for the all equations in our extensive balancing research. This method, which works successfully without any limitations, also has the capability to determine the feasibility of a new chemical reaction, and if it is feasible, then it will balance the equation. Chemical equations treated here possess atoms with fractional oxidation numbers. Also, in the present work are introduced necessary and sufficient criteria for stability of chemical equations over stability of their extended matrices.

The Mathematical Model on Crosstalk Effect of Airborne Noise Sources and Verification based on Comparison between Transfer Path Analysis Methods (소음원간 누화 효과에 대한 수학적 모델 및 전달 경로 분석법 비교를 통한 검증)

  • Byun, Jae-Hwan;Kim, Yoon-Jae;Kang, Yeon-June;Kang, Koo-Tae;Kwon, O-Jun;Hong, Jin-Chul
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.9
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    • pp.943-951
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    • 2008
  • In this paper, the mathematical model on crosstalk effect between acoustic noise sources is presented. Based on this model, a theoretical value to quantitate crosstalk effect of sources can be defined on the authority of reverberation property of surrounding which sources are located, relative magnitudes of sources and phase deference between acoustic wave transferred from all of sources. In order to verify crosstalk effect factor, experiments are made for two cases, weak and strong crosstalk effect condition, by using toro representative transfer path analysis(TPA) methods.

The Characteristics of Airborne Noise Transfer Path Analysis Methods according to Path Models (경로 모델에 따른 공기기인 소음 전달 경로 분석법 특성 분석)

  • Byun, Jae-Hwan;Kim, Yoon-Jae;Kang, Yeon-June;Kang, Koo-Tae;Kwon, O-Jun;Hong, Jin-Chul
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.782-788
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    • 2008
  • In this paper, a comparison about two representative Transfer Path Analysis(TPA) methods for air-borne noise based on, matrix inversion method and pressure transmissibility, are presented on the view point of crosstalk effect between sources. In order to assess accuracy of two methods according to path models between virtual airborne noise sources, experiments are made for two cases, weak and strong crosstalk effect condition, by using acrylic vehicle model. Based on this assessment, the paper presents a reasonable application criteria for TPA method according to the circumstances of air-borne noise sources.

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Estimation of Time Mean Velocities from NOAA Satellite 557 Data (NOAA위성의 557자료를 이용한 시간평균유속의 추정)

  • 이태신;정종률
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.7 no.3
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    • pp.241-247
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    • 1995
  • A time mean surface velocity field was estimated from AVHRR/SST in the Korea Strait. Time duration of SST data set was not different from tidal period and tidal elimination was investigated. The velocity field was estimated by inverse method and compared with results of ADCP observation and results of Odamaki(1989). In accordance with results. tidal component was eliminated partially in case that there were a little difference between total time interval of 557 data set and tidal period.

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Spatial Resolution Improvement of landsat TM Images Using a SPOT PAN Image Data Based on the New Generalized Inverse Matrix Method (새로운 일반화 역행렬법에 의한 SPOT PAN 화상 데이터를 이용한 Landsat TM 화상이 공간해상도 개선)

  • 서용수;이건일
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.8
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    • pp.147-159
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    • 1994
  • The performance of the improvement method of spatial resolution for satellite images based on the generalized inverse matrix is superior to the conventional methods. But, this method calculates the coefficient values for extracting the spatial information from the relation between a small pixel and large pixels. Accordingly it has the problem of remaining the blocky patterns at the result image. In this paper, a new generalized inverse matrix method is proposed which is different in the calculation method of coefficient values for extracting the spatial information. In this proposed metod, it calculates the coefficient values for extracting the spatial information from the relation between a small pixel and small pixels. Consequently it can improve the spatial resolution more efficiently without remaining the blocky patterns at the result image. The effectiveness of the proposed method is varified by simulation experiments with real TM image data.

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Application of MCC and Inverse Method for the AVHRR/SST (해수면 온도분포에 대한 최대상관계수법과 역행렬법의 적용)

  • 이태신;정종률
    • Korean Journal of Remote Sensing
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    • v.11 no.1
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    • pp.19-29
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    • 1995
  • The surface velocities were estimated by the Maximum Cross Correlation(MCC) method and an inverse method from AVHRR/SST. In the results of MCC, discontinuous flow fields were estimated in the case that cross correlation coefficient was above 0.5 but these flow pattern disappeared when cross correlation coefficient was above 0.9. This estimation was conspicuous near SST patterns of eddies. In the results of inverse method, flow field was continuous and eddy motion was estimated definitely but the velocity was overstimated in compared with MCC result over the area of small temperature gradient. This result may be due to temperature error included in SST calculated and spatial variation of heat flux.

Determination of Weighting Factor in the Inverse Model for Estimating Surface Velocity from AVHRR/SST Data (AVHRR/SST로 부터 표층유속을 추정하기 위한 역행렬 모델에서 가중치의 설정)

  • Lee, Tae-Shin;Chung, Jong-Yul;Kang, Hyoun-Woo
    • 한국해양학회지
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    • v.30 no.6
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    • pp.543-549
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    • 1995
  • The inverse method has been used to estimate a surface velocity field from sequential AVHRR/SST data. In the model, equation system was composed of heat equation and horizontal divergence minimization and the velocity field contained in the advective term of the heat equation, which was linearized in grid system, was estimated. A constraint was the minimization of horizontal divergence with weighting factor and introduced to compensate the null space(Menke, 1984) of the velocity solutions for the heat equation. The experiments were carried out to set up the range of weighting factor and the matrix equation was solved by SVD(Singular Value Decomposion). In the experiment, the scales of horizontal temperature gradient and divergence of synthetic velocity field were approximated to those of real field. The neglected diffusive effect and the horizontal variation of heat flux in the heat equation were regarded as random temperature errors. According to the result of experiments, the minimum of relative error was more desirable than the minimum of misfit as the criteria of setting up the weighting factor and the error of estimated velocity field became small when the weighting factor was order of $10^{-1}$

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Road Noise Estimation Based on Transfer Path Analysis Using a Simplified Tire Vibration Transfer Model (단순화된 타이어 진동전달 모델의 전달경로분석법을 이용한 로드노이즈 예측기술 개발)

  • Shin, Taejin;Park, Jongho;Lee, Sangkwon;Shin, Gwangsoo;Hwang, Sungwook
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.2
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    • pp.176-184
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    • 2013
  • Quantification of road noise is a challenging issue in the development of tire noise since its transfer paths are complicated. In this paper, a simplified model to estimate the road noise is developed. Transfer path of the model is from wheel to interior. The method uses the wheel excitation force estimated throughout inverse method. In inversion procedure, the Tikhonov regularization method is used to reduce the inversion error. To estimate the wheel excitation force, the vibration of knuckle is measured and transfer function between knuckle and wheel center is also measured. The wheel excitation force is estimated by using the measured knuckle vibration and the inversed transfer function. Finally interior noise due to wheel force is estimated by multiplying wheel excitation force in the vibro-acoustic transfer function. This vibro-acoustic transfer function is obtained throughout measurement. The proposed method is validated by using cleat excitation method. Finally, it is applied to the estimation of interior noise of the vehicle with different types of tires during driving test.