• Title/Summary/Keyword: Sigma-Delta

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Design of a 1.5V 2mW 96dB Peak SNDR $\sum\Delta$ Modulator for Audio Applications (1.5V 2mW 96dB Peak SNDR, 오디오용 $\sum\Delta$ Modulator 설계)

  • 이강명;이상훈;박종태;유종근
    • Proceedings of the IEEK Conference
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    • 2000.11b
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    • pp.156-159
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    • 2000
  • This paper presents a low-voltage, low-power $\Sigma$Δ modulator for audio applications. It use a simple second-order fully-differential switched-capacitor structure with a sampling frequency of 12.5 MHz and oversampling ratio of 256. It operates from a single 1.5V Bower supply and dissipates 2 ㎽. Extensive simulations using 0.25 ${\mu}{\textrm}{m}$ CMOS Process parameters show that it achieves 96㏈ peak SNDR in a 22 KHz bandwidth.

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The Behavior of Undrained Pore Water Pressure in Normally Consolidated and Saturated Clay(II) - Visco Elastic Analysis Model - (포화된 정규압밀 점성토에서 비배수 공극수압의 거동(II) - 점탄성 해석 모델 -)

  • 임성훈
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.45 no.4
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    • pp.137-143
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    • 2003
  • The initial condition of $\Delta \sigma_3 \;=\; \Delta u$ is used for analyzing the time dependent behavior of ground. This is based on the concept that the coefficient of pore water B is the unity on the condition of saturation. but some measured consolidation data in the field showed that the pore water pressure was not dissipated as time elapsed but it was maintained constant value or it's dissipation rate was slower than that of the predicted. and so the measured data of pore water pressure was not consistent with that of settlement. In this study, the rheological model for the pore water pressure behavior on undrained condition was induced and compared with the experiment data of the literature. The result showed that the suggested model was consistent well with the result of experiment, but the suggested model could not explain the effect of the decrease of void ratio according to consolidation.

Evaluation of Mechanical Properties of RPV Clad by Small Punch Tests

  • Lee, Joo-Suk;Kim, In-Sup
    • Nuclear Engineering and Technology
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    • v.34 no.6
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    • pp.574-585
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    • 2002
  • The microstructural characteristics and its related mechanical properties of RPV cladding have been investigated using small punch (SP) tests. SA508 Cl.3 RPV steel plates were overlay cladded with the type ER309L welding consumables by submerged arc welding process. Although the RPV clad material had a small portion of 5 ferrite phase, it still showed the ductile to brittle transition behavior The transition temperature was determined by the SP test and it depended on the content of $\sigma$ phase, specimen size, and determination methods. The fracture appearance of SP specimen was changed from circumferential to radial cracking as test temperature became low, and below the transition temperature region, ER309L cladding usually fractured along the 6 ferrite by the low temperature failure of ferrite phase.

Studies on the Quaternization of Tertiary Amines (I). Kinetics and Mechanism for the Reaction of Phenethyltosylate with Substituted Pyridines (3 차아민의 4 차화반응에 관한 연구 (제1보). Phenethyltosylate 와 치환 피리딘류의 반응에 관한 반응 속도론적 연구)

  • Kyung-A Lee;Kyu-Tag Howang;Soo-Dong Yoh
    • Journal of the Korean Chemical Society
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    • v.23 no.4
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    • pp.243-247
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    • 1979
  • Kinetics of the reaction of phenethyltosylate with substituted pyridines at 50, 60 and 70$^{\circ}C$ in acetonitrile were investigated by an electric conductivity method. The effects of substituents on the reaction of phenethyltosylate with pyridines were discussed. The rates of reaction were increased with electron donating power of substituents of pyridines. The isokinetic relationship was shown $E_{\alpha}$ and ${\Delta}S^{\neq}$, it's temperature was 240$^{\circ}$K. Bronsted plots were excellent linear except for 4-amino pyridine given by the following equation, logk=O. 22pKa-3.71 (r=O. 986). According to a plot of log k against Hammett substituent constants, the Iinearity was good except for bamino pyridine too, log k= -1.330${\sigma}$+0.08 (r= -0.987). In both cases, deviation of 4-amino pyridine from linearity was considered to solvent effect, resonance effect and ${\sigma}$ value itself. From all the above results, this reaction was found typical $S_N2$ reaction which the rates of reaction was determined by C…N bond formation at transition state.

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Nonstoichiometry of the Niobium Oxide (산화니오브의 비화학양론)

  • Yo Chul Hyun;Roh Kwon Sun;Lee Sung Joo;Kim Keu Hong;Oh Eung Ju
    • Journal of the Korean Chemical Society
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    • v.35 no.4
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    • pp.329-334
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    • 1991
  • The x values and electrical conductivity of the nonstoichiometric compound NbO$_x$ have been measured in a temperature range 700$^{\circ}C$ to 1100$^{\circ}C$ under oxygen partial pressure of 2 ${\times}$ 10$^{-1}$ ∼ 1 ${\times}$ 10$^{-5}$ atm. The NbO$_x$ is a stoichiometrical compound of Nb$_2$O$_5$ under oxygen partial pressure higher than 1.0 ${\times}$ 10$^{-2}$ atm at the above temperature range. The x values were found to vary between 2.48491 and 2.49900 in a temperature range 700$^{\circ}C$ to 1100$^{\circ}C$ under oxygen partial pressure lower than 1 ${\times}$ 10$^{-3}$ atm. The enthalpy of the formation for x' in NbO$_{2.50000-x'}$(${\Delta}H_f$) increased of 15.98 to 17.26 kcal/mol under the conditions. The electrical conductivity (${\sigma}$) of the oxide varied from 10$_4$ to 10$_1$ ohm$_1$cm$_1$ in the above conditions. The activation energy for the conduction was about 1.7 eV. The oxygen pressure dependency of the conductivity (or 1/n value) was about -1/4. The nonstoichiometric conduction mechanism of the oxide has been discussed with the x' values, the ${\sigma}$ values, and the thermodynamic data.

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OSCILLATION OF SECOND ORDER UNSTABLE NEUTRAL DIFFERENCE EQUATIONS WITH CONTINUOUS ARGUMENTS

  • TIAN YU;ZHANG ZHENGUO;GE WEIGAO
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.355-367
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    • 2006
  • In this paper, we consider the oscillation second order unstable neutral difference equations with continuous arguments $\Delta^2_{/tau}(\chi(t)-p\chi(t-\sigma))=f(t,\chi(g(t)))$ and obtain some criteria for the bounded solutions of this equation to be oscillatory.

GLOBAL ATTRACTOR FOR SOME BEAM EQUATION WITH NONLINEAR SOURCE AND DAMPING TERMS

  • Lee, Mi Jin
    • East Asian mathematical journal
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    • v.32 no.3
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    • pp.377-385
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    • 2016
  • Global attractor is a basic concept to study the long-time behavior of solutions of the various equations. This paper is investigated with the existence of a global attractor for the beam equation $$u_{tt}+{\Delta}^2u-{\nabla}{\cdot}\{{\sigma}({\mid}{\nabla}u{\mid}^2){\nabla}u\}+f(u)+a(x)g(u_t)=h,$$ using multipliers technique and Nakao's Lemma.

Implementation of the digital Butterworth noise shaper (디지털 Butterworth noise shaper의 구현)

  • 손영철;박영진;채정석;김상호;조상준;김상민;김동명;김대정
    • Proceedings of the IEEK Conference
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    • 2001.06b
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    • pp.293-296
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    • 2001
  • This paper describes an implementation of 4$^{th}$ order single-loop Butterworth noise shaper for a 16-bit $\Delta$$\Sigma$ DAC with the viewpoint of minimum hardware overhead. we adopt simple bit-shifting scheme and ROM selection technique for the multiplication, and propose a new buffer-and-routing method for the ROM circuits. The behavioral level and timing simulations reveal that our proposal is valid for the target specificationrget specificationn

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ON THE PARAMETIC INTEREST OF THE BLACK-SCHOLES EQUATION

  • Kananthai, Amnuay
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.923-929
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    • 2010
  • We have discovered some parametics $\lambda$ in the Black-Scholes equation which depend on the interest rate $\gamma$ and the Volatility $\sigma$ and later is named the parametic interest. On studying the parametic interest $\lambda$, we found that such $\lambda$ gives the sufficient condition for the existence of solutions of the Black-Scholes equation which is either weak or strong solutions.

원자력 배관용 스테인레스강의 파괴저항곡선 예측

  • 장윤석;석창성;김영진
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.05a
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    • pp.796-802
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    • 1995
  • 본 연구의 목적은 원자력 배관용 스테인레스강의 J-R곡선을 예측하기 위한 2가지 방법 올 제시하는 것이다. 첫 번째 방법에서는 균열길이/시편폭 비를 변수로 한 탄소성 유한요소해석을 수행하여 파괴변형률에 근거한 P-$\delta$곡선을 얻고, 이 결과로부터 일반궤적법을 응용하여 J-R곡선을 구하였다. 두 번째 방법에서는 $\sigma$-$\varepsilon$곡선과 J-R곡선의 상관관계를 통계처리하여 응력-변형률시험결과로부터 J-R곡선을 예측할 수 있는 실험식을 제시하였다. 본 연구에서 제시한 방법들을 이용하여 구한 예측결과는 실험결과와 대체로 잘 일치하였다.

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