• 제목/요약/키워드: truncation errors

검색결과 39건 처리시간 0.023초

홀로그래피를 이용한 실내 음장의 재구성에서 발생하는 수치 오차 (Numerical Errors in Digital Holographic Reconstruction of Interior Sound Fields)

  • 김영기;김양한
    • 소음진동
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    • 제9권4호
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    • pp.687-692
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    • 1999
  • Digital holographic reconstruction method [W. A. Veronesi, et al, 1989, JASA, Vol. 85, pp. 588∼598] reconstructs a whole sound field by using measured sound pressure. This paper reports numerical errors of the method that occur at specific frequencies. The errors occur due to the truncation errors included in the calculation of transfer matrixes. The frequencies of the errors depend on the size of boundary element surfaces. Moreover, a modified calculation technique is proposed in the paper. The technique prevents the truncation errors by employing an indirect calculation procedure.

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Improved block-wise MET for estimating vibration fields from the sensor

  • Jung, Byung Kyoo;Jeong, Weui Bong;Cho, Jinrae
    • Structural Engineering and Mechanics
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    • 제64권3호
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    • pp.279-285
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    • 2017
  • Modal expansion technique (MET) is a method to estimate the vibration fields of flexible structures by using eigenmodes of the structure and the signals of sensors. It is the useful method to estimate the vibration fields but has the truncation error since it only uses the limit number of the eigenmodes in the frequency of interest. Even though block-wise MET performed frequency block by block with different valid eigenmodes was developed, it still has the truncation error due to the absence of other eigenmodes. Thus, this paper suggested an improved block-wise modal expansion technique. The technique recovers the truncation errors in one frequency block by utilizing other eigenmodes existed in the other frequency blocks. It was applied for estimating the vibration fields of a cylindrical shell. The estimated results were compared to the vibration fields of the forced vibration analysis by using two indices: the root mean square error and parallelism between two vectors. These indices showed that the estimated vibration fields of the improved block-wise MET more accurately than those of the established METs. Especially, this method was outstanding for frequencies near the natural frequency of the highest eigenmode of each block. In other words, the suggested technique can estimate vibration fields more accurately by recovering the truncation errors of the established METs.

ERROR ANALYSIS ASSOCIATED WITH UNIFORM HERMITE INTERPOLATIONS OF BANDLIMITED FUNCTIONS

  • Annaby, Mahmoud H.;Asharabi, Rashad M.
    • 대한수학회지
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    • 제47권6호
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    • pp.1299-1316
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    • 2010
  • We derive estimates for the truncation, amplitude and jitter type errors associated with Hermite-type interpolations at equidistant nodes of functions in Paley-Wiener spaces. We give pointwise and uniform estimates. Some examples and comparisons which indicate that applying Hermite interpolations would improve the methods that use the classical sampling theorem are given.

오차 확산 방법의 절삭 오차 문제 (Truncation Error Problem of Error Diffusion Method)

  • 조청운
    • 한국항행학회논문지
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    • 제15권5호
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    • pp.850-856
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    • 2011
  • 오차 확산 방법은 디지털 하프토닝 방법 중 하나로 현재 처리하는 픽셀의 양자화 오차를 아직 처리하지 않은 주변 이웃 화소에 확산시켜 변환된 흑백 영상의 품질을 높이는 방법이다. 이러한 방법은 발생한 양자화 오차를 주변으로 분산하는 과정에서 부분적으로 오차의 합이 증가하거나 감소하는 경우가 발생하게 된다. 본 논문에서는 오차 확산의 대표적인 방법인 Floyd-Steinberg 방법과 Jarvis-Judice-Ninke의 방법, Stucki의 방법, Shiau-Fan의 방법을 분석하고 이에 대한 해결 방법을 제시한다.

고속 십진 가산을 위한 3초과 코드 Carry Lookahead설계 (An Excess-3 Code Carry Lookahead Design for High-Speed Decimal Addition)

  • 최종화;유영갑
    • 전자공학회논문지CI
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    • 제40권5호
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    • pp.241-249
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    • 2003
  • 십진수를 위한 가산기 구현에서 지연시간을 줄일 수 있는 carry lookahead(CLA)을 이용한 십진수 가산 회로 선계를 제안한다. 이자 계산과 같은 십진 소수에 의한 반복계산에서 이진수 체계를 사용하면 절단오차는 누적된다. 이를 방지하기 위하여 BCD 회로 사용은 불가피하다. BCD 계산에서의 속도개선은 CLA 회로를 이용하여 개선될 수 있다. BCD 회로에서 CLA 회로 사용을 위해 제안된 캐리 생성 및 캐리 전파회로를 도출하여 가산기 설계에 사용하였다. 이 CLA 방식을 사용한 BCD 가산에서 기존의 BCD 가산회로와 지연시간을 비교하였을 때 상당한 속도개선이 이루어졌다. 또한 3초과 코드를 이용한 가산회로의 경우 CLA 방식 사용과 지연시간에 영향을 미치는 회로부분을 개선함으로써 CLA만 이용했을 때 보다 지연시간을 10게이트 지연시간만큼 더욱 줄일 수 있었다.

공진과 반공진 특성을 동시고려한 모델 축소 (Model Reduction Considering Both Resonances and Antiresonances)

  • 허진석;이시복;이창일
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 춘계학술대회논문집
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    • pp.985-990
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    • 2001
  • The Frequency Response Function(FRF)s of FE Model reduced by SEREP methods accurately estimate the full model at resonance frequencies, However these FRFs are not accurate at antiresonance frequencies, Additionally, the truncation errors may he significant in the reduction mode1. So this paper considers the possibility of SERFP method through a numerical method to preserve dynamic behavior at antiresonance and appliers the static or dynamic compensation methods for truncation errors to the reduction model. This compensated reduction model is redesigned for pole-zero cancellation methods the objective of reducing a resonance frequency.

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Hidden Truncation Normal Regression

  • Kim, Sungsu
    • Communications for Statistical Applications and Methods
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    • 제19권6호
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    • pp.793-798
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    • 2012
  • In this paper, we propose regression methods based on the likelihood function. We assume Arnold-Beaver Skew Normal(ABSN) errors in a simple linear regression model. It was shown that the novel method performs better with an asymmetric data set compared to the usual regression model with the Gaussian errors. The utility of a novel method is demonstrated through simulation and real data sets.

자유표면문제해석(자유표면문제해석)을 위한 Rankine용출점(湧出點) 분포법(分布法) -방사조건(放射條件)과 유한분포(有限分布)의 영향- (On the Method of Rankine Source Distribution for Free Surface Flow Problem: Radiation Condition and Influence of Finite Distribution)

  • 이창섭;양승일;강창구
    • 대한조선학회지
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    • 제19권2호
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    • pp.13-18
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    • 1982
  • The method of Rankine source distribution is emerging as a powerful yet simple alternative for the solution of complicated free surface problems. But it has been uncertain whether the radiation condition could be satisfied exactly by distributing the simple sources on the free surface only. In this paper, it is proved rigorously that the Rankine sources, whose intensities are varying sinusoidally along the axis satisfying the free surface boundary condition, generate the radiation waves both in the infinite and finite-depth flows. A formula is derived to give the upper and lower bounds of the errors in the induced velocity computation that will be introduced by truncating the extent of source distribution on the free surface. Since the truncation is inevitable in the numerical analysis, this formula may be used as a criterion to limit the position of the field points, where velocity computation is made, away from the truncation boundary. A typical analysis shows that the maximum error will be 3.4 percent of the exact induced velocity when the field point is on the free surface two wave lengths away from the truncation boundary.

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비비례 감쇠시스템의 해석을 위한 효율적인 모드 중첩법 (Efficient Mode Superposition Method for Non-Classically Damped Systems)

  • 조상원;조지성;박선규;이인원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.549-555
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    • 2000
  • The improved mode superposition methods for non-classically damped systems are presented in this paper. Generally, the mode superposition method uses a relatively small subset of the normal modes of structures. The mode acceleration method and the modal truncation augmentation method improve the results of the mode superposition method by considering effects of truncated high modes. For using these methods to analyze non-classically damped systems, the systems are approximated to the classically damped systems and thereby the errors are induced. In this paper, the mode acceleration method and the modal truncation augmentation method are expanded to analyze the non-classically damped systems. The applicability of the expanded methods is verified by closed form solutions and numerical examples. The expanded modal truncation augmentation method is conditionally stable depending on the pattern of the external loading in the non-classically damped systems whereas the expanded mode acceleration method is stable for the all cases of loading. In the stable case, the results are the same with those of the expanded mode acceleration method.

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