• Title/Summary/Keyword: Sine integral

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A Low-Power 2-Step 8-bit 10-MHz CMOS A/D Converter (저전력 2-Step 8-bit 10-MHz CMOS A/D 변환기)

  • 박창선;손주호;김영랄;김동용
    • Proceedings of the IEEK Conference
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    • 2000.06b
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    • pp.201-204
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    • 2000
  • In this paper, an A/D converter is implemented to obtain 8bit resolution at a conversion rate of 10Msample/s. This architecture is proposed using the 2-step architecture for high speed conversion rate. It is consisted of sample/hold circuit, low power comparator, voltage reference circuit and DAC of binary weighted capacitor array. Proposed A/D converter is designed using 0.2$\mu\textrm{m}$ CMOS technology. The SNR is 45.3dB at a sampling rate of 10MHz with 1.95MHz sine input signal. When an 8bit 10Msample/s A/D converter is simulated, the Differential Nonlinearity / Integral Nonlinearity (DNL/ INL) error are ${\pm}$1 / ${\pm}$2 LSB, respectively. The power consumption is 13㎽ at single +2.5V supply voltage.

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A Study on the Efficiency Improvement by the Harmonic Analysis in Computer Installation (전산설비에서의 고조파 분석에 의한 효율 향상에 관한 연구)

  • 최동진
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.6
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    • pp.89-94
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    • 2003
  • Recently many kinds of power transducers have been commercially used to increase the energy efficiency. However, those devices unavoidably produce the harmonics having an integral frequency of fundamental waves. The harmonics should be removed since they have negative effects on the other devices based on fundamental sine waves. As the current information technology makes the PCs more widespread, it is essential to study the harmonics that they produce. In this paper the harmonic generation of a PC has been measured and analyzed. Additionally, the most efficient way of reducing the harmonics has been proposed.

SOME FINITE INTEGRALS INVOLVING THE PRODUCT OF BESSEL FUNCTION WITH JACOBI AND LAGUERRE POLYNOMIALS

  • Ghayasuddin, Mohd;Khan, Nabiullah;Khan, Shorab Wali
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.1013-1024
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    • 2018
  • The main object of this paper is to set up two (conceivably) valuable double integrals including the multiplication of Bessel function with Jacobi and Laguerre polynomials, which are given in terms of Srivastava and Daoust functions. By virtue of the most broad nature of the function included therein, our primary findings are equipped for yielding an extensive number of (presumably new) fascinating and helpful results involving orthogonal polynomials, Whittaker functions, sine and cosine functions.

A 8-bit 10-MHz CMOS A/D Converter (8-bit 10-MHz CMOS A/D 변환기)

  • 박창선;손주호;이준호;김종민;김동용
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.263-266
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    • 1999
  • In this work, a A/D converter is implemented to obtain 8bit resolution at a conversion rate of 10MS/s for video applications. This architecture is proposed using the Pipelined architecture for high speed conversion rate and the Successive - Approximation architecture for low power consumption, and consists of two identical stages that consist of sample/hold circuit, low power comparator, voltage reference circuit and MDAC of binary weighted capacitor array. Proposed A/D converter is designed using 0.25${\mu}{\textrm}{m}$ CMOS technology The SNR is 80㏈ at a sampling rate of 10MHz with 1.95MHz sine input signal. When an 8bit 10MS/s A/D converter is simulated, the Differential Nonlinearity / Integral Nonlinearity (DNL/ INL) error are $\pm$0.5 / $\pm$2 LSB, respectively. The power consumption is 13㎽ at 10MS/s.

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Radiation Characteristics of Finite Strip-Grating Loaded Dielectric-Coated Coaxial Waveguide with Finite Periodic Thick Slots

  • Kim, Joong-Pyo;Lee, Chang-Won
    • Journal of electromagnetic engineering and science
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    • v.1 no.2
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    • pp.161-165
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    • 2001
  • The radiation characteristics of leaky wave emanated from finite strip-grating loaded dielectric coated coaxial waveguide with finite periodic thick slots are investigated theoretically. The rigorous integral equations are derived for the proposed structure using the courier transform, mode expansion, and sine series expansion of the electric current on metallic strips, and the simultaneous linear equations are obtained. The effects of finite strip-grating loading on a dielectric-coated coaxial waveguide with finite periodic thick slots are examined in terms of radiation characteristics.

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Development of the Straightness Compensation System for Ultra-Precision Machine Using DSP (DSP를 이용한 초정밀가공기용 진직도 보상시스템 개발)

  • 이대희;이종호;김호상;민흥기;김민기;김태형
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.283-286
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    • 2002
  • This paper presents the straightness compensation system which is a device for improving the machining accuracy of ultra-precision machines by synchronizing the position of diamond tool tip with machine error motion. Sine it is actuated by piezoelectric actuator with highly nonlinear hysteresis characteristics, the feedback control schemes such as Proportional Integral(PI), are required and realized by measuring the displacements of diamond tool tip. for the better tracking performance, the controller was implemented using TMS320C32 32bit floating-point DSP which is fast so that the real-time control is possible. In addition, stand alone type DSP board was chosen fur the easy assembly into the ultra-precision machines. The experimental results show good command tracking performance and the motion error of the machine is satisfactorily compensated during the machining process.

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On the Dynamic Response of Laminated Circular Cylindrical Shells under Dynamic Loads (동하중을 받는 복합재료 원통셸의 동적거동 해석)

  • 이영신;이기두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.11
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    • pp.2684-2693
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    • 1993
  • The free vibration and dynamic response of cross-ply for CFRP and GFRP laminated circular cylindrical shells under dynamic loadings are investigated by using the first-order shear deformation shell theory. The modal analysis technique is used to develop the analytical solutions of simply supported cylindrical shells under dynamic load. The analysis is based on an expansion of the loads, displacements and rotations in a double Fourier series which satisfies the and boundary conditions of simply support. Analytical solution is assumed to be separable into a function of time and a function of position. In this paper, the considered load forces are step pulse, sine pulse, triangular(1, 2, 3) pulse and exponential pulse. The solution for a given loading pulse can be found by involving the convolution integral. The results show that the dynamic response are governed primarily by the natural period of the structure.

Conformable solution of fractional vibration problem of plate subjected to in-plane loads

  • Fadodun, Odunayo O.;Malomo, Babafemi O.;Layeni, Olawanle P.;Akinola, Adegbola P.
    • Wind and Structures
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    • v.28 no.6
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    • pp.347-354
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    • 2019
  • This study provides an approximate analytical solution to the fractional vibration problem of thin plate governing anomalous motion of plate subjected to in-plane loads. The method of variable separable is employed to transform the fractional partial differential equations under consideration into a fractional ordinary differential equation in temporal variable and a bi-harmonic plate equation in spatial variable. The technique of conformable fractional derivative is utilized to solve the resulting fractional differential equation and the approach of finite sine integral transform method is used to solve the accompanying bi-harmonic plate equation. The deflection field which measures the transverse displacement of the plate is expressed in terms of product of Bessel and trigonometric functions via the temporal and spatial variables respectively. The obtained solution reduces to the solution of the free vibration problem of thin plate in literature. This work shows that conformable fractional derivative is an efficient mathematical tool for tracking analytical solution of fractional partial differential equation governing anomalous vibration of thin plates.

Spherical Harmonics Power-spectrum of Global Geopotential Field of Gaussian-bell Type

  • Cheong, Hyeong-Bin;Kong, Hae-Jin
    • Journal of the Korean earth science society
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    • v.34 no.5
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    • pp.393-401
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    • 2013
  • Spherical harmonics power spectrum of the geopotential field of Gaussian-bell type on the sphere was investigated using integral formula that is associated with Legendre polynomials. The geopotential field of Gaussian-bell type is defined as a function of sine of angular distance from the bell's center in order to guarantee the continuity on the global domain. Since the integral-formula associated with the Legendre polynomials was represented with infinite series of polynomial, an estimation method was developed to make the procedure computationally efficient while preserving the accuracy. The spherical harmonics power spectrum was shown to vary significantly depending on the scale parameter of the Gaussian bell. Due to the accurate procedure of the new method, the power (degree variance) spanning over orders that were far higher than machine roundoff was well explored. When the scale parameter (or width) of the Gaussian bell is large, the spectrum drops sharply with the total wavenumber. On the other hand, in case of small scale parameter the spectrum tends to be flat, showing very slow decaying with the total wavenumber. The accuracy of the new method was compared with theoretical values for various scale parameters. The new method was found advantageous over discrete numerical methods, such as Gaussian quadrature and Fourier method, in that it can produce the power spectrum with accuracy and computational efficiency for all range of total wavenumber. The results of present study help to determine the allowable maximum scale parameter of the geopotential field when a Gaussian-bell type is adopted as a localized function.

8-bit 10-MHz A/D Converter for Video Signal Processing (영상 신호 처리용 8-bit 10-MHz A/D 변환기)

  • Park Chang-Sun;Son Ju-Ho;Lee Jun-Ho;Kim Chong-Min;Kim Dong-Yong
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.173-176
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    • 1999
  • In this work, a A/D converter is implemented to obtain 8bit resolution at a conversion rate of 10Msample/s for video applications. Proposed architecture is designed low power A/D converter that pipelined architecture consists of flash A/D converter. This architecture consists of two identical stages that consist of sample/hold circuit, low power comparator, voltage reference circuit and MDAC of binary weighted capacitor array. Proposed A/D converter is designed using $0.25{\mu}m$ CMOS technology The SNR is 76.3dB at a sampling rate of 10MHz with 3.9MHz sine input signal. When an 8bit 10Msample/s A/D converter is simulated, the Differential Nonlinearity / Integral Nonlinearity (DNL/ INL) error are ${\pm}0.5/{\pm}2$ LSB, respectively. The power consumption is 13mW at 10Msample/s.

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