• Title/Summary/Keyword: Gaussian Quadrature

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NUMERICAL METHOD IN WAVE-BODY INTERACTIONS

  • MOUSAVIZADEGAN S. H.;RAHMAN M.
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.73-91
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    • 2005
  • The application of Green's function in calculation of flow characteristics around submerged and floating bodies due to a regular wave is presented. It is assumed that the fluid is homogeneous, inviscid and incompressible, the flow is irrotational and all body motions are small. Two methods based on the boundary integral equation method (BIEM) are applied to solve associated problems. The first is a low order panel method with triangular flat patches and uniform distribution of velocity potential on each panel. The second method is a high order panel method in which the kernels of the integral equations are modified to make it nonsingular and amenable to solution by the Gaussian quadrature formula. The calculations are performed on a submerged sphere and some floating spheroids of different aspect ratios. The excellent level of agreement with the analytical solutions shows that the second method is more accurate and reliable.

A New Signal Processing Technique for Improving PAPR performance (PAPR 성능 개선을 위한 새로운 신호 처리 기법)

  • Eom, Seung-Sik;Ko, Young-Chai
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2010.11a
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    • pp.211-213
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    • 2010
  • 본 논문에서는 직교 주파수 다중화 (OFDM) 신호의 새로운 peak to average power ratio (PAPR) 감쇄 기법을 제안한다. 제안 기법은 시간영역에서 OFDM 심볼의 동상 (in-phase) 성분 및 직교 (quadrature) 성분을 회전시키고 재조합한다. 제안 기법은 기존의 partial transmit sequence (PTS) 기법과 비교하여 계산량을 현저히 줄일 수 있는 장점이 있었음에도 모의 실험을 통해 얻어진 PAPR의 complementary cumulative distribution function (CCDF)는 PTS와 비교할 때 거의 같은 성능을 보였다. 더욱이 제안된 기법은 additive white Gaussian (AWGN) 채널 및 다중 경로 페이딩 채널 (multi-path fading channel)에서 일반적인 OFDM 신호를 전송할 때와 거의 같은 BER (bit error rate) 성능을 보였다.

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A Study on ${\pi}$/4-DQPSK with Nonredundant Multiple Error Correction

  • Song, Seog-Il;Han, Young-Yearl
    • ETRI Journal
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    • v.21 no.2
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    • pp.9-21
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    • 1999
  • In this paper, to enhance the performance of ${\pi}$/4-DQPSK (${\pi}$/4-differential quadrature phase shift keying), the scheme using nonredundant multiple error correction is proposed and investigated. This scheme for the differential detection of ${\pi}$/4-DQPSK uses the signal output which is delayed for more than two time slots as the parity check bit and applies it to nonredundant multiple error correction. The proposed system was used for studying the performance of ${\pi}$/4-DQPSK with Nonredundant Error Correction (NEC) in additive white Gaussian noise (AWGN) and Nakagami fade modeled mobile communication channel, and it was observed that the performance increased as the error correction capability increased.

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Analysis of PN Code Acquisition Performance with Multiple Antennas in a UWB System (다중 안테나를 적용한 UWB 시스템의 PN 부호 포착 성능 분석)

  • Kim, Eun-Cheol;Kim, Jin-Young
    • Proceedings of the IEEK Conference
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    • 2005.11a
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    • pp.69-72
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    • 2005
  • In this paper, pseudo noise (PN) code acquisition performance with multiple antennas in a UWB time hopping/code division multiple access system is analyzed. The closed form for the conditional probability is derived, using the Gauss-Hermite quadrature formula, when the signal with Gaussian distribution goes through the lognormal fading channel. The performance comparison of the above mentioned schemes shows that the code acquisition performance with a diversity combining technique, especially when increasing the number of antennas, is more robust than that using no diversity.

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An Analysis of Electromagnetic Wave Scattering for the Elliptic-Multi Layer Dielectric Cylinders (다층타원 유전체주의 전자파 산란 해석)

  • 박동희;김정기
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.2 no.3
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    • pp.26-31
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    • 1991
  • The scattering property of TMz illuminated a elliptic dielectric cylinders with arbitrary cross section are analyzed by the boundary element techniques. The boundary element equations are for- mulated via Maxwell's equations, weighted residual of Green's theorem, and the boundary conditions. The unknown surface fields on the boundaries are then calculated by the boundary element integral equations. Once the surface fields are found, the scattered fields in far-zone and scattering widths (SW) are readily determined. To show the validity and usefulness of this formulation, computations are compared with those obtained using analytical method and one layer circular cylinder. As exten- sion to arbitrary cross-sectioned cylinders, plane wave scattering from a elliptic dielectric cylinders are numerically analyzed. A general computer program has been developed using the quadratic ele- ments(Higher order borndary elements) and the Gaussian quadrature.

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A MAC Protocol Mechanism for Mobile IP over Wireless LANs

  • Moon, Il-Young;Roh, Jae-Sung;Cho, Sung-Joon
    • Journal of information and communication convergence engineering
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    • v.1 no.4
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    • pp.194-198
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    • 2003
  • Recently, the use of TCP/IP protocols over wireless LANs poses significant problems. In this paper, we have analyzed transmission control protocol (TCP) packet transmission time for mobile IP over wireless local area networks (LANs) using a proposed a new random backoff scheme. We call it as a proxy backoff scheme. It is considered the transmission time of TCP packet on the orthogonal frequency division multiplexing (OFDM) in additive white gaussian noise (AWGN) channel. From the results, a proposed proxy backoff scheme produces a better performance than an original random backoff in mobile IP over wireless LANs environment. Also, in OFDM/quadrature phase shift keying (QPSK) medium access control (MAC), we have obtained that the transmission time in wireless channel decreases as the TCP packet size increases.

Numerical Evaluation of Impedance Matrix of Multi-layered Structures (평면 다층구조에 관한 임피던스 행렬의 수치계산)

  • 이영순;조영기
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2000.11a
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    • pp.117-120
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    • 2000
  • When analyzing the scatting problem of multi-layered structures using closed-form Green's function, one of the main difficulties is that the numerical integrations for the evaluation of diagonal matrix elements converge slowly and are not so stable. Accordingly, even when the integration for the singularity of type e$\^$-jkr//${\gamma}$/, corresponding to the source dipole itself, is performed using such a mathod, this difficulty persists in the integration corresponding to the finite number of complex images. In order to resolve this difficulty, a new technique based upon the Gaussian quadrature in polar coordinates for the evaluation of the two-dimensional generalized exponential integral is presented. Stability of the algorithm and convergence is discussed. Performance is demonstrated for the example of a microstrip patch antenna.

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Transition membrane elements with drilling freedom based on mixed-type formulation (Mixed 형태의 정식화에 기초한 회전자유도를 가진 변이 평면요소)

  • 최창근;이완훈
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.10a
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    • pp.8-15
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    • 1993
  • The transition membrane elements with drilling freedom have been developed. The functionals for the linear problem, in which the drilling rotations are introduced as independent variables, have been presented by Hughes & Bressi. And 4-node membrane elements with drilling degrees of freedom were developed by Ibrahimbegovic. The transition elements can be efficiently used in modelling the in-plane structures, in particular, where the stress concentration exists. A modified Gaussian quadrature adopted to evaluate the stiffness matrices of these transition elements which have slope discontinuity of displacement within the elements. Detailed numerical studies show the excellent performance of the transition elements.

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Error Performance of BPSK and QPSK Signals with Diversity Reception in Mobile-Satellite Communication Channel (이동 위성 통신 채널에서 다이버시티 수신기법을 적용한 BPSK 및 QPSK 신호의 오율 특성)

  • 박해천;강영흥;황인관;조성준
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.5 no.3
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    • pp.36-47
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    • 1994
  • The error performance of BPSK and QPSK signals with diversity reception in mobile-satellite channel is investigated considering nonlinearity of TWT (Traveling Wave Tube) amplifier in the presence of AWGN(Additive White Gaussian Noise) on the uplink and downlink paths. It is assumed that the fading on the dounlink path forms a Rician distribution. The Rician distribution is approximated by discrete probability values. The values are firstly found by Classical Moment Technique.

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GAUSSIAN QUADRATURE FORMULAS AND LAGUERRE-PERRON@S EQUATION

  • HAJJI S. EL;TOUIJRAT L.
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.205-228
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    • 2005
  • Let I(f) be the integral defined by : $I(f) = \int\limits_{a}^{b} f(x)w(x)dx$ with f a given function, w a nonclassical weight function and [a, b] an interval of IR (of finite or infinite length). We propose to calculate the approximate value of I(f) by using a new scheme for deriving a non-linear system, satisfied by the three-term recurrence coefficients of semi-classical orthogonal polynomials. Finally we studies the Stability and complexity of this scheme.