• Title/Summary/Keyword: 2D approximation

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A Comparison of the Density Functional Theory Based Methodologies for the Triplet Excited State of 𝛑-Conjugated Molecules: Time-Dependent DFT (TD-DFT), TD-DFT within Tamm-Dancoff Approximation (TDA-DFT), and Spin-Unrestricted DFT (UDFT) (𝛑-공액계 분자의 삼중항 여기 상태에 대한 Density Functional Theory (DFT)에 기반한 계산 방법들의 비교: 시간-의존 DFT (TD-DFT), Tamm-Dancoff 근사법을 적용한 DFT (TDA-DFT), 스핀-비제한 DFT (UDFT))

  • Ahn, Chang Hwan;Kim, Dongwook
    • Journal of the Korean Chemical Society
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    • v.63 no.2
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    • pp.73-77
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    • 2019
  • We compared methodologies based on the density functional theory (DFT), e.g., time-dependent DFT (TD-DFT), TD-DFT within Tamm-Dancoff approximation (TDA-DFT), and spin-unrestricted DFT (UDFT), that are usually employed to optimize the geometries of ${\pi}$-conjugated molecules in their lowest lying triplet excited ($T_1$) state. As a model system for ${\pi}$-conjugated molecules, we employed 1,2,3,4,5-pentacyano-6-phenyl-benzene. In conjunction with 6-31G(d) basis sets, we made use of gap-tuned range-separated ${\omega}B97X$ functional which is often employed recently in the calculations of molecular excited states. Near the equilibrium geometries, we found that the important difference between the geometries derived at UDFT level and those at TD-DFT or TDA-DFT methods: more stable ground-state energies but higher triplet excitation energies for UDFT derived geometries. In the studies, we discuss such differences in more detail.

A 12-bit 1MS/s SAR ADC with Rail-to-Rail Input Range (Rail-to-Rail의 입력 신호 범위를 가지는 12-bit 1MS/s 축차비교형 아날로그-디지털 변환기)

  • Kim, Doo-Yeoun;Jung, Jae-Jin;Lim, Shin-Il;Kim, Su-Ki
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.2
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    • pp.355-358
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    • 2010
  • As CMOS technology continues to scale down, signal processing is favorably done in the digital domain, which requires Analog-to-Digital (A/D) Converter to be integrated on-chip. This paper presents a design methodology of 12-bit 1-MS/s Rail-to-Rail fully differential SAR ADC using Deep N-well Switch based on binary search algorithm. Proposed A/D Converter has the following architecture and techniques. Firstly, chip size and power consumption is reduced due to split capacitor array architecture and charge recycling method. Secondly, fully differential architecture is used to reduce noise between the digital part and converters. Finally, to reduce the mismatch effect and noise error, the circuit is designed to be available for Rail-to-Rail input range using simple Deep N-well switch. The A/D Converter fabricated in a TSMC 0.18um 1P6M CMOS technology and has a Signal-to-Noise-and-Distortion-Ratio(SNDR) of 69 dB and Free-Dynamic-Range (SFDR) of 73 dB. The occupied active area is $0.6mm^2$.

Application of aerospace structural models to marine engineering

  • Pagani, A.;Carrera, E.;Jamshed, R.
    • Advances in aircraft and spacecraft science
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    • v.4 no.3
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    • pp.219-235
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    • 2017
  • The large container ships and fast patrol boats are complex marine structures. Therefore, their global mechanical behaviour has long been modeled mostly by refined beam theories. Important issues of cross section warping and bending-torsion coupling have been addressed by introducing special functions in these theories with inherent assumptions and thus compromising their robustness. The 3D solid Finite Element (FE) models, on the other hand, are accurate enough but pose high computational cost. In this work, different marine vessel structures have been analysed using the well-known Carrera Unified Formulation (CUF). According to CUF, the governing equations (and consequently the finite element arrays) are written in terms of fundamental nuclei that do not depend on the problem characteristics and the approximation order. Thus, refined models can be developed in an automatic manner. In the present work, a particular class of 1D CUF models that was initially devised for the analysis of aircraft structures has been employed for the analysis of marine structures. This class, which was called Component-Wise (CW), allows one to model complex 3D features, such as inclined hull walls, floors and girders in the form of components. Realistic ship geometries were used to demonstrate the efficacy of the CUF approach. With the same level of accuracy achieved, 1D CUF beam elements require far less number of Degrees of Freedom (DoFs) compared to a 3D solid FE solution.

Hardware Design of Pipelined Special Function Arithmetic Unit for Mobile Graphics Application (모바일 그래픽 응용을 위한 파이프라인 구조 특수 목적 연산회로의 하드웨어 설계)

  • Choi, Byeong-Yoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.17 no.8
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    • pp.1891-1898
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    • 2013
  • To efficiently execute 3D graphic APIs, such as OpenGL and Direct3D, special purpose arithmetic unit(SFU) which supports floating-point sine, cosine, reciprocal, inverse square root, base-two exponential, and logarithmic operations is designed. The SFU uses second order minimax approximation method and lookup table method to satisfy both error less than 2 ulp(unit in the last place) and high speed operation. The designed circuit has about 2.3-ns delay time under 65nm CMOS standard cell library and consists of about 23,300 gates. Due to its maximum performance of 400 MFLOPS and high accuracy, it can be efficiently applicable to mobile 3D graphics application.

Optimal Matrix Standardization for Pattern Flattening Using Grid Method -Focused on Young Women's Upper Front Shell- (Grid method에 의한 3차원 형상의 평면전개를 위한 optimal matrix 표준화 연구 -$18{\sim}24$세 여성 Upper Front Shell을 중심으로-)

  • Choi, Young-Lim;Nam, Yun-Ja;Choi, Kueng-Mi
    • Journal of the Korean Society of Clothing and Textiles
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    • v.30 no.8
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    • pp.1242-1252
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    • 2006
  • Many applications in computer graphics require complex, highly detailed models. However, to control processing time, it is often desirable to use approximations in place of excessively detailed models. Therefore, we have developed the notion of an optimal matrix to simplify the model surface which can then rapidly obtain high quality 2D patterns by flattening the 3D surface. Firstly, the woman's 3D body was modeled based on Size Korea data. Secondly, the 3D model was divided by shell and block for the pattern draft. Thirdly, each block was flattened by the grid and bridge method. Finally, we select the optimal matrix and demonstrate it's efficiency and quality. The proposed approach accommodates surfaces with darts, which are commonly utilized in the clothing industry to reduce the deformation of surface forming and flattening. The resulting optimal matrix could be an initiation of standardization for pattern flattening. This can facilitate much better approximations, in both efficiency and exactness.

The Performance Improvement of Towed Array Shape Estimation Using Kalman Filters (견인 어레이 형상 추정의 칼만 필터 접근 방법에 대한 성능 개선)

  • 박민수;도경철;오원천;윤대희;이충용
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.691-694
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    • 1999
  • This paper presents a performance improvement technique of 2-D towed array shape estimation using Kalman filters. The proposed algorithm by linear model approximation corrects the position errors caused by the Kalman filter results. However, since the assumed linear model makes errors at bending parts, the spline interpolation algorithm based on curve is proposed to reduce the errors.

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Design of a 12-bit, 10-Msps SAR A/D Converter with different sampling time applied to the bit-switches within C-DAC (C-DAC 비트 스위치에 다른 샘플링 시간을 인가하는 12-bit, 10-Msps SAR A/D 변환기 설계)

  • Shim, Minsoo;Yoon, Kwangsub;Lee, Jonghwan
    • Journal of IKEEE
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    • v.24 no.4
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    • pp.1058-1063
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    • 2020
  • This paper proposes a 12-bit SAR A/D(Successive Approximation Register Analog-to-Digital) converter that operates at low power for bio-signal and sensor signal processing. The conventional SAR A/D converter utilized the reduction of the dynamic current, which resulted in reducing total power consumption. In order to solve the limitation of the sampling time due to charging/discharging of the capacitor for reducing dynamic current, the different sampling time on the C-DAC bit switch operation was applied to reduce the dynamic current. In addition, lowering the supply voltage of the digital block to 0.6V led to 70% reduction of the total power consumption of the proposed ADC. The proposed SAR A/D was implemented with CMOS 65nm process 1-poly 6-metal, operates with a supply voltage of 1.2V. The simulation results demonstrate that ENOB, DNL/INL, power consumption and FoM are 10.4 bits, ±0.5LSB./±1.2LSB, 31.2uW and 2.8fJ/step, respectively.

Buckling delamination of the PZT/Metal/PZT sandwich circular plate-disc with penny-shaped interface cracks

  • Cafarova, Fazile I.;Akbarov, Surkay D.;Yahnioglu, Nazmiye
    • Smart Structures and Systems
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    • v.19 no.2
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    • pp.163-179
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    • 2017
  • The axisymmetric buckling delamination of the Piezoelectric/Metal/Piezoelectric (PZT/Metal/PZT) sandwich circular plate with interface penny-shaped cracks is investigated. The case is considered where open-circuit conditions with respect to the electrical displacement on the upper and lower surfaces, and short-circuit conditions with respect to the electrical potential on the lateral surface of the face layers are satisfied. It is assumed that the edge surfaces of the cracks have an infinitesimal rotationally symmetric initial imperfection and the development of this imperfection with rotationally symmetric compressive forces acting on the lateral surface of the plate is studied by employing the exact geometrically non-linear field equations and relations of electro-elasticity for piezoelectric materials. The sought values are presented in the power series form with respect to the small parameter which characterizes the degree of the initial imperfection. The zeroth and first approximations are used for investigation of stability loss and buckling delamination problems. It is established that the equations and relations related to the first approximation coincide with the corresponding ones of the three-dimensional linearized theory of stability of electro-elasticity for piezoelectric materials. The quantities related to the zeroth approximation are determined analytically, however the quantities related to the first approximation are determined numerically by employing Finite Element Method (FEM). Numerical results on the critical radial stresses acting in the layers of the plate are presented and discussed. In particular, it is established that the piezoelectricity of the face layer material causes an increase (a decrease) in the values of the critical compressive stress acting in the face (core) layer.

A Spatial Index Compression Scheme Using Semi-Approximation (준근사를 이용한 공간 인덱스 압축 기법)

  • Kim, Jong-Wan
    • Journal of the Korea Society of Computer and Information
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    • v.11 no.1 s.39
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    • pp.97-105
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    • 2006
  • Over the last several years, studies on spatial index have increased in proportion to the increase in the spatial data. Most of these studies, however were on the indices based on R-tree by adding or changing some options, and there are a few studies on how to increase the search performance of the spatial data by compressing an MBR. This study was conducted in order to propose a new MBR compression scheme, SA(Semi-Approximation). The basic idea of this paper is the compression of MBRs in a spatial index. Since SA decreases the keys of MBRs, the enlargements of QMBR in half and increases the utilization of nodes, the SA heightens the overall search performance. The study analyzes mathematically the number of node accesses in a 2D space and evaluates the performance of the SA using the real data on location information. The results show that the proposed scheme has increased performance, higher than that of the pre-established schemes on compression of MBR.

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A Study on the Improvement of Texture Coding in the Region Growing Based Image Coding (영역화에 기초를 둔 영상 부호화에서 영역 부호화 방법의 개선에 관한 연구)

  • Kim, Joo-Eun;Kim, Seong-Dae;Kim, Jae-Kyoon
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.6
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    • pp.89-96
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    • 1989
  • An improved method on texture coding, which is a part of the region growing based image coding, is presented in this paper. An image is segmented into stochastic regions which can be described as a stochastic random field, and non-stochastic ones in order to efficiently represent texture. In the texture coding and reconstruction, an autoregressive model is used for the stochastic regions, while a two-dimensional polynomial approximation is used for the non-stochastic ones. This proposed method leads to a better subjective quality, relatively higher compression ratio and shorter processing time for coding and reconstructing than the conventional method which uses only two-dimensional polynomial approximation.

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