• 대한기계학회논문집B
• /
• 제27권7호
• /
• pp.984-994
• /
• 2003

The suitability of high-order accurate, centered and upwind-biased compact difference schemes for large eddy simulation is evaluated by a spectral, static error analysis. To investigate the effect of numerical dissipation on LES solutions, power spectra of discretization errors are evaluated for isotropic turbulence models in both continuous and discrete wavevector spaces. Contrary to the common belief, the aliasing errors from upwind-biased schemes are larger than those from comparable non-dissipative schemes. However, this result is the direct consequence of the definition of the power spectral density of the aliasing error, which poses the limitation of the static error analysis for upwind schemes.

• 대한기계학회논문집B
• /
• 제27권7호
• /
• pp.973-983
• /
• 2003

The suitability of high-order accurate, centered and upwind-biased compact difference schemes is evaluated for large eddy simulation of turbulent flow. Two turbulent flows are considered: turbulent channel flow at Re = 23000 and flow over a circular cylinder at Re = 3900. The effects of numerical dissipation on the finite differencing and aliasing errors and the subgrid-scale stress are investigated. It is shown through the simulations that compact upwind schemes are not suitable for LES, whereas the fourth order-compact centered scheme is a good candidate for LES provided that proper dealiasing of nonlinear terms is performed. The classical issue on the aliasing error and the treatment of nonlinear terms is revisited with compact difference schemes.

• Journal of the Optical Society of Korea
• /
• 제19권5호
• /
• pp.456-466
• /
• 2015

We investigated an anti-aliasing (AA) filter for digital camera photography by which the excessively high-frequency components of the image signal are suppressed to avoid the aliasing effect. Our optomechanical AA filter was implemented by applying rapid relative motions to the imaging sensor. By the engineered motion blur of the mechanical dithers, the effective point-spread function (PSF) of the imaging system could be tailored to reject the unwanted high-frequency components of the image. For optimal operations, we developed a spiral filter motion protocol that could produce a Gaussian-like PSF. We experimentally demonstrated that our AA filter provides an improved filtering characteristic with a better compromise of the rejection performance and the signal loss. We also found that the pass band characteristic can be enhanced further by a color-differential acquisition mode. Our filter scheme provides a useful method of digital photography for low-error image measurements as well as for ordinary photographic applications where annoying $moir{\acute{e}}$ patterns must be suppressed efficiently.

• 대한기계학회논문집B
• /
• 제27권7호
• /
• pp.995-1006
• /
• 2003

The suitability of high-order accurate, centered and upwind-biased compact difference schemes for large eddy simulation is evaluated by a dynamic analysis. Large eddy simulation of isotropic turbulence is performed with various dissipative and non-dissipative schemes to investigate the effect of numerical dissipation on the resolved solutions. It is shown by the present dynamic analysis that upwind schemes reduce the aliasing error and increase the finite differencing error. The existence of optimal upwind scheme that minimizes total numerical error is verified. It is also shown that the finite differencing error from numerical dissipation is the leading source of numerical errors by upwind schemes. Simulations of a turbulent channel flow are conducted to show the existence of the optimal upwind scheme.

• 한국지구과학회지
• /
• 제39권5호
• /
• pp.473-482
• /
• 2018

During the period of 2002 to 2017, the Gravity Recovery And Climate Experiment (GRACE) had observed time-varying gravity changes with unprecedented accuracy. The GRACE science data centers provide the monthly gravity solutions after removing the sub-monthly mass fluctuation using geophysical models. However, model misfit makes the solutions to be contaminated by aliasing errors, which exhibits peculiar north-south stripes. Two conventional filters are used to reduce the errors, but signals with similar spatial patterns to the errors are also removed during the filtering procedure. This would be particularly problematic for estimating the ice mass changes in Western Antarctic Ice Sheet (WAIS) and Antarctic Peninsula (AP) due to their similar spatial pattern to the elongated north-south direction. In this study, we introduce an alternative filter to remove aliasing errors using the Empirical Orthogonal Functions (EOF) analysis. EOF can decompose data into different modes, and thus is useful to separate signals from noise. Therefore, the aliasing errors are effectively suppressed through EOF method. In particular, the month-to-month mass changes in WAIS and AP, which have been significantly contaminated by aliasing errors, can be recovered using EOF method.

• 대한기계학회:학술대회논문집
• /
• 대한기계학회 2002년도 학술대회지
• /
• pp.807-810
• /
• 2002

The suitability of high-order accurate, central and upwind-biased compact difference schemes is evaluated for the large-eddy simulations of flows in complex geometry. Two flow geometries are considered: channel and circular cylinder. The effects of numerical dissipation and aliasing error on the evaluation of subgrid scale stress are investigated by extending the analysis by Ghosal (1) to centered and upwind compact schemes. It is shown that the failure of upwind schemes mainly comes from the aliasing error.

• 대한기계학회논문집
• /
• 제16권9호
• /
• pp.1654-1668
• /
• 1992

본 연구에서는 경험적으로 측정점 사이의 간격과 구경의 크기를 정하는 방법 에 대하여 살펴보았다.이에 반하여 둘러싸기 오차(wraparound error)는 이산화된 파수 성분 데이타의 처리 과정에서 발생하게 되는데, 이를 줄이기 위한 방법의 일환으 로 본 논문에서는 제로패딩(zero padding)방법을 도입하였다. 또한 둘러싸기 오차 (wraparound error)의 크기를 정량화하여 신뢰할 수 있는 예측결과의 범위를 살펴보았 다.

• Journal of information and communication convergence engineering
• /
• 제13권4호
• /
• pp.235-240
• /
• 2015

A decimation chain for multi-standard reconfigurable radios is presented for 900-MHz and 1,900-MHz dual-band cellular standards with a data interpolator based on the Lagrange method for adjusting the variable data rate to a fixed data rate appropriate for each standard. The two proposed configurations are analyzed and compared to provide insight into aliasing and the signal bandwidth by means of a newly introduced measure called interpolation error. The average interpolation error is reduced as the ratio of the sampling frequency to the signal BW is increased. The decimation chain and the multi-rate analog-to-digital converter are simulated to compute the interpolation error and the output signal-to-noise ratio. Further, a method to operate the above-mentioned chain under a compressed mode of operation is proposed in order to guarantee continuous packet connectivity for inter-radio-access technologies. The presented decimation chain can be applied to LTE, WCDMA, GSM multi-mode multi-band digital front-end which will ultimately lead to the software-defined radio.

• 대한의용생체공학회:의공학회지
• /
• 제11권1호
• /
• pp.89-96
• /
• 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.

• 대한방사선기술학회지:방사선기술과학
• /
• 제31권4호
• /
• pp.379-387
• /
• 2008

반접현상(Aliasing)을 제거하기위한 방법 중 속도범위(velocity scale)를 높이는 방법은 동일 조건하에서 속도범위를 높여줌으로써 혈류의 방향이 반대로 나타나는 현상이 점차 사라지는 것을 확인할 수 있었다. Doppler angle을 $0^{\circ}$에 가깝게 하는 실험에서는 각도의 변화에 따른 스펙트럼 파형에서 유의한 차이점을 발견을 하지 못했다. 실제 초음파 검사(Ultrasonography)를 시행할 때는 검사의 편의성과 신속성, 정확성을 고려해서 속도범위에 변화를 주어 검사함으로써 보다 정확한 검사가 시행되리라고 본다. 또한 Doppler Angle에 따라 혈류속도는 기하학적으로 증가하였으며, $70^{\circ}$ 이상에서는 측정불가능 할 정도로 수치가 급상승하여 혈류속도가 Doppler Angle에 크게 의존한다는 것을 알 수 있었다. 혈류의 방향에 따른 실험에서는 입사각이 $60^{\circ}$ 이상에서 오차범위가 증가하였고, $70^{\circ}$ 이상에서는 매우 큰 차이를 보였다. 따라서 입사각은 $60^{\circ}$ 이하가 적당하다고 보며, 사지 혈관(extremity vessel)의 혈류속도를 구하는 데 있어서 Doppler 각도는 $45^{\circ}$에서 $60^{\circ}$가 적절한 것으로 사료된다.