• 제목/요약/키워드: Gaussian Quadrature

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Vterbi decoding을 적용한 UWB 시스템이 성능분석 (Performance of analysis UWB system using Vterbi decoding)

  • 최정훈;한태영;박성균;김남
    • 한국콘텐츠학회:학술대회논문집
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    • 한국콘텐츠학회 2003년도 추계종합학술대회 논문집
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    • pp.303-307
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    • 2003
  • 본 논문에서는 고속 데이터 전송을 위한 UWB 시스템에 BPSK(Binary Phase Shift Keying)와 QPSK(Quadrature Phase Shift Keying)의 변조방식을 적용하고 고속 전송으로 발생 할 수 있는 높은 에러율을 감소시키기 위해 부호율(code rate)이 1/2 이고 구속장(constraint length)이 K=7인 convolution code를 적용하였다. 그리고 다중사용자의 접속으로 인하여 발생 할 수 있는 다중사용자 간섭을 고려하여 Time-hopping sequence를 적용하였으며, 수신단에서 viterbi decodig 알고리즘을 사용하여 수신된 신호를 복호함으로서 AWGN(Additive White Gaussian Noise) channel 환경에서의 UWB 통신시스템의 성능변화를 분석하였다.

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복사에 관여하는 유한 원통형 매질에서의 복사열 전달 (Radiative Heat Transfer in Radiatively Particpating Finite Cylindrical Media - Exact and P-N Solutions -)

  • 서인수;손종관;임승욱;이준식
    • 대한기계학회논문집
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    • 제12권6호
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    • pp.1428-1437
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    • 1988
  • 본 연구에서는 흡수, 방사 및 비등방성 산란을 하는 축대칭 유한원통형매질에 서의 형식해로부터 Gaussian Quadrature를 이용하여 수치적으로 엄밀해를 구하고 P-1 과 P-3근사해법을 통하여 얻어진 해와 비교하여 P-1과 P-3근사해법의 타당성을 검토하 였다.또한 매질의 광학두께, 산란알베도, 벽면방사율, 형상계수 등을 주요 파라미 터로 하여 이들의 영향에 대하여 고찰하였다.

직교 쌍 필터 뱅크 기반 다중 반송파 CDMA 시스템의 성능분석 (Performance analysis of multi-carrier CDMA system using an orthogonal pair of quadrature filter banks)

  • 이재철
    • 한국통신학회논문지
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    • 제25권9B호
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    • pp.1570-1578
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    • 2000
  • 본 논문은 채널간의 간섭을 줄이는 관점에서 코사인 변조 필터 뱅크와 사인 변조 필터 뱅크로 이루어진 필터뱅크의 쌍을 다중 반송파 부호 분할 다원 접속(multi-carrier code division multiple access: MC-CDMA) 시스템의 다중화 전송에 적용하였다. 웨이브렛 특성을 필터 뱅크의 구현에 활용하는 제안된 기법은 이산 퓨리에 변환(discrete Fourier transform: DFT)에 기반을 둔 기존의 MC-CDMA 시스템과 비교하였을 때, 전송 채널의 부채널화의 우수성으로 인해 채널간의 간섭을 감소시킬 수 있다. 제안된 직교 쌍 필터 뱅크를 기반으로 하는 MC-CDMA 시스템의 성능을 평가하기 위하여, 레이라이 페이딩 채널과 가우시안 잡음 채널에서 역 방향 링크의 신호 대 잡음비에 대한 비트 오율을 계산한다. 성능평가 결과는 제안한 시스템이 간섭의 영향을 최소화하는 측면에서 기존의 MC-CDMA 시스템 보다 우수한 성능을 보이고 있다.

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

  • Cheong, Hyeong-Bin;Kong, Hae-Jin
    • 한국지구과학회지
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    • 제34권5호
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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.

톤간섭 및 다중간섭하에서 제반 디지탈 변조신호의 오율특성 비교 (A Comparison of the Error Rate Performances of Various Digitally Modulated Signals in the Environment of Tone/Multiple Interferer)

  • 공병옥;조성준
    • 한국통신학회논문지
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    • 제15권10호
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    • pp.797-810
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    • 1990
  • The error rate equations of digitally modulated signals transmitted through the Gaussian noise and tone multiple interference channel have been derived. Using the derived equations of error probabilities in the environments of Gaussian noise tone interferer and Gaussian noise multiple interferer, the error rate performances of various digitally modulated signals have been evaluated, and compared in graphs as a function of average carrier to tone interferer power ratio(CIR), average carrier to multiple interferer power ratio(CIT) and the average carrer-to-Gaussian noise powr ratio(CIR). In this paper, the modulation schemes such as amplitude shift keying (ASK), phase shift keying(PSK), frequency shift keying(FSK), minimum shift keying(MSK), quadrature amplitud modulation(QAM) and amplitude phase shift keying(APK) have been selected for the study of performance comparison. The results of comparison show us that, in low bits/sec/Hz, PSK is superior to the other schemes, but in high bits/sec/Hz, mixed multi ary type is better than single multi ary type. And in strong noise evironment, the multiple interferer has much influence than tone interferer, however, in low noise environment. the mojor error factor is tone interferer. But tone interference effect nearly disappears over specified CIR level about 20[dB]. And the modulation schemes using amplitude are heavily influenced by multiple interference.

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NEW GENERALIZATION OF THE WRIGHT SERIES IN TWO VARIABLES AND ITS PROPERTIES

  • Belafhal, Abdelmajid;Chib, Salma;Usman, Talha
    • 대한수학회논문집
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    • 제37권1호
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    • pp.177-193
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    • 2022
  • The main aim of this paper is to introduce a new generalization of the Wright series in two variables, which is expressed in terms of Hermite polynomials. The properties of the freshly defined function involving its auxiliary functions and the integral representations are established. Furthermore, a Gauss-Hermite quadrature and Gaussian quadrature formulas have been established to evaluate some integral representations of our main results and compare them with our theoretical evaluations using graphical simulations.

Cumulative Sums of Residuals in GLMM and Its Implementation

  • Choi, DoYeon;Jeong, KwangMo
    • Communications for Statistical Applications and Methods
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    • 제21권5호
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    • pp.423-433
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    • 2014
  • Test statistics using cumulative sums of residuals have been widely used in various regression models including generalized linear models(GLM). Recently, Pan and Lin (2005) extended this testing procedure to the generalized linear mixed models(GLMM) having random effects, in which we encounter difficulties in computing the marginal likelihood that is expressed as an integral of random effects distribution. The Gaussian quadrature algorithm is commonly used to approximate the marginal likelihood. Many commercial statistical packages provide an option to apply this type of goodness-of-fit test in GLMs but available programs are very rare for GLMMs. We suggest a computational algorithm to implement the testing procedure in GLMMs by a freely accessible R package, and also illustrate through practical examples.

THE DISCRETE SLOAN ITERATE FOR CAUCHY SINGULAR INTEGRAL EQUATIONS

  • KIM, SEKI
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제2권2호
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    • pp.81-95
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    • 1998
  • The superconvergence of the Sloan iterate obtained from a Galerkin method for the approximate solution of the singular integral equation based on the use of two sets of orthogonal polynomials is investigated. The discrete Sloan iterate using Gaussian quadrature to evaluate the integrals in the equation becomes the Nystr$\ddot{o}$m approximation obtained by the same rules. Consequently, it is impossible to expect the faster convergence of the Sloan iterate than the discrete Galerkin approximation in practice.

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ERROR BOUNDS FOR GAUSS-RADAU AND GAUSS-LOBATTO RULES OF ANALYTIC FUNCTIONS

  • Ko, Kwan-Pyo
    • 대한수학회논문집
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    • 제12권3호
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    • pp.797-812
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    • 1997
  • For analytic functions we give an expression for the kernel $K_n$ of the remainder terms for the Gauss-Radau and the Gauss-Lobatto rules with end points of multiplicity r and prove the convergence of the kernel we obtained. The error bound are obtained for the type $$\mid$R_n(f)$\mid$ \leq \frac{1}{\pi}l(\Gamma) max_{z \in \Gamma} $\mid$K_n(z)$\mid$ max_{z \in \Gamma} $\mid$f(z)$\mid$$, where $l(\Gamma)$ denotes the length of contour $\Gamma$.

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