• Title/Summary/Keyword: quadrature

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Design of MLC chip quadrature hybrid for 2 GHz band mobile communications (2 GHz대 이동 통신용 MLC 칩 90$^{\circ}$ 하이브리드 설계)

  • 심성훈;강종윤;윤석진;신현용;윤영중;김현재
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.07a
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    • pp.115-118
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    • 2002
  • This paper presents the design method and performance characteristics of a chip-type quadrature hybrid using LTCC-MLC technology. The design method for a chip-type quadrature hybrid is based on lumped element equivalent circuit of quarter-wave transformer. The chip-type quadrature hybrid was miniaturized to a greater extent using multilayer structure and lumped element. The proposed design method can also reduce the undesirable parasitic effects of the chip-type quadrature hybrid. The proposed chip-type quadrature hybrid was designed and fabricated using the proposed design method and the equivalent circuit model of a quarter-wave transformer. Fabrication and measurement of designed chip-type quadrature hybrid show much smaller size than a conventional distributed quadrature hybrid and a good agreement with simulated results.

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Quadrature-detection-error Compensation in a Sinusoidally Modulated Optical Interferometer Using Digital Signal Processing

  • Hwang, Jeong-hwan;Park, Chang-Soo
    • Current Optics and Photonics
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    • v.3 no.3
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    • pp.204-209
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    • 2019
  • In an optical interferometer that uses sinusoidal modulation and quadrature detection, the amplitude and offset of the interference signal vary with time, even without considering system noise. As a result, the circular Lissajous figure becomes elliptical, with wide lines. We propose and experimentally demonstrate a method for compensating quadrature detection error, based on digital signal processing to deal with scaling and fitting. In scaling, fluctuations in the amplitudes of in-phase and quadrature signals are compensated, and the scaled signals are fitted to a Lissajous unit circle. To do so, we scale the average fluctuation, remove the offset, and fit the ellipse to a unit circle. Our measurements of a target moving with uniform velocity show that we reduce quadrature detection error from 5 to 2 nanometers.

QUADRATURE FORMULAS FOR WAVELET COEFFICIENTS

  • Kwon, Soon-Geol
    • Journal of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.911-925
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    • 1997
  • We derive quadrature formulas for approximating wavelet coefficients for smooth functions from equally spaced point values with arbitrarily high degree of accuracy. Wa also estimate the error of quadrature formulas.

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A Study on the FSK Synchronization and MODEM Techniques for Mobile Communication Part I :Design of Quadrature Detector for FSK Demodulation. (이동통신을 위한 FSK동기 및 변복조기술에 관한 연구 I부. FSK 복조를 위한 Quadrature Detector 설계)

  • Kim, Gi-Yun;Choe, Hyeong-Jin
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.37 no.3
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    • pp.1-8
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    • 2000
  • This paper presents a simulation model of the Quadrature detector to demodulate FSK signal, which is widely used in wireless paging system for its simple hardware implementation and economics of It fabrication. Quadrature detecter has nonlinear phase characteristic for changes linear changes of input signal frequency. So until now Quadrature detector system analysis remained a difficult problem and performance analysis has not been carried out adequately On these backgrounds, this paper presents the FSK signal demodulation process using Quadrature detector and optimal performance derived from digital simulation technique. First, PSN(Phase Shift Network) which is composed of analog RLC tank circuit is transformed into its equivalent digital transfer function using First-order-hold theorem. Though the demodulated outputs of the Quadrature detector for 4FSK are 4-level signals, only 2 comparators are used and it is shown that optimal performance can be obtained by choosing operation parameter Q value and threshold level decision which are proposed herein.

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Discontinuous finite-element quadrature sets based on icosahedron for the discrete ordinates method

  • Dai, Ni;Zhang, Bin;Chen, Yixue
    • Nuclear Engineering and Technology
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    • v.52 no.6
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    • pp.1137-1147
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    • 2020
  • The discrete ordinates method (SN) is one of the major shielding calculation method, which is suitable for solving deep-penetration transport problems. Our objective is to explore the available quadrature sets and to improve the accuracy in shielding problems involving strong anisotropy. The linear discontinuous finite-element (LDFE) quadrature sets based on the icosahedron (in short, ICLDFE quadrature sets) are developed by defining projected points on the surfaces of the icosahedron. Weights are then introduced in the integration of the discontinuous finite-element basis functions in the relevant angular regions. The multivariate secant method is used to optimize the discrete directions and their corresponding weights. The numerical integration of polynomials in the direction cosines and the Kobayashi benchmark are used to analyze and verify the properties of these new quadrature sets. Results show that the ICLDFE quadrature sets can exactly integrate the zero-order and first-order of the spherical harmonic functions over one-twentieth of the spherical surface. As for the Kobayashi benchmark problem, the maximum relative error between the fifth-order ICLDFE quadrature sets and references is only -0.55%. The ICLDFE quadrature sets provide better integration precision of the spherical harmonic functions in local discrete angle domains and higher accuracy for simple shielding problems.

One-Channel Phased-Array Quadrature RF Coil for Spine Magnetic Resonance Imaging (척추 MRI를 위한 One-Channel Phased-Array Quadrature RF 코일)

  • 양윤정;김선경
    • Journal of Biomedical Engineering Research
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    • v.19 no.2
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    • pp.129-132
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    • 1998
  • A new one-channel phased-array quadrature RF coil is developed for spine MR imaging. Quadrature RF coils for MRI have been used to improve the signal-to-noise ratio (SNR) by$"\squt{2}"$ using two orthogonal RF coils in combination. More recently, the phased-array RF coil has been proposed for more improvement of SNR by using an array of reduced-size RF coil elements. Two schemes proposed for the new phased-array quadrature RF coil are:(1) Proper overlapping of two quadrature RF coils thus removing the mutual inductance and (2) Attaching preamplifiers right after the coil section and combining the signal with proper phase delays. The coil has been implemented for receive-only mode, and tested by phantom and volunteer imaging. The experimental results show the utility of the proposed RF coil.d RF coil.

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A TRIPLE MIXED QUADRATURE BASED ADAPTIVE SCHEME FOR ANALYTIC FUNCTIONS

  • Mohanty, Sanjit Kumar
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.5
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    • pp.935-947
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    • 2021
  • An efficient adaptive scheme based on a triple mixed quadrature rule of precision nine for approximate evaluation of line integral of analytic functions has been constructed. At first, a mixed quadrature rule SM1(f) has been formed using Gauss-Legendre three point transformed rule and five point Booles transformed rule. A suitable linear combination of the resulting rule and Clenshaw-Curtis seven point rule gives a new mixed quadrature rule SM10(f). This mixed rule is termed as triple mixed quadrature rule. An adaptive quadrature scheme is designed. Some test integrals having analytic function integrands have been evaluated using the triple mixed rule and its constituent rules in non-adaptive mode. The same set of test integrals have been evaluated using those rules as base rules in the adaptive scheme. The triple mixed rule based adaptive scheme is found to be the most effective.

SYMMETRIC QUADRATURE FORMULAS OVER A UNIT DISK

  • Kim, Kyoung-Joong;Song, Man-Suk
    • Journal of applied mathematics & informatics
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    • v.4 no.1
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    • pp.179-192
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    • 1997
  • An algorithm to get an optimal choice for the number of symmetric quadrature points is given to find symmetric quadrature points is given to find symmetric quadrature for-mulas over a unit disk with a minimal number of points even when a high degree of polynomial precision is required. The symmetric quad-rature formulas for numerical integration over a unit disk of complete polynomial functions up to degree 19 are presented.

A Design of Quadrature Hybrid Coupler Apply Open-PI Equivalent Transmission Line (Open-PI형 등가 전송선로를 적용한 Quadrature 하이브리드 커플러 설계)

  • Kim, Koon-Tae;Jang, Se-Wook;Kim, Hyeong-Seok
    • 한국정보통신설비학회:학술대회논문집
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    • 2008.08a
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    • pp.21-24
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    • 2008
  • In this paper, Designed Quadrature hybrid coupler apply Open-PI equivalent transmission line. Using the proposed structure we achieve significant size reduction with the same results of conventional quadrature hybrid coupler at 912MHz. The measured frequency responses agree well with simulated one.

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ERROR INEQUALITIES FOR AN OPTIMAL QUADRATURE FORMULA

  • Ujevic, Nenad
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.65-79
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    • 2007
  • An optimal 3-point quadrature formula of closed type is derived. It is shown that the optimal quadrature formula has a better error bound than the well-known Simpson's rule. A corrected formula is also considered. Various error inequalities for these formulas are established. Applications in numerical integration are given.