• Title/Summary/Keyword: Quadrature

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VARIANTS OF NEWTON'S METHOD USING FIFTH-ORDER QUADRATURE FORMULAS: REVISITED

  • Noor, Muhammad Aslam;Waseem, Muhammad
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1195-1209
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    • 2009
  • In this paper, we point out some errors in a recent paper by Cordero and Torregrosa [7]. We prove the convergence of the variants of Newton's method for solving the system of nonlinear equations using two different approaches. Several examples are given, which illustrate the cubic convergence of these methods and verify the theoretical results.

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Wavelets and Filter Banks

  • Chon, Inheung
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.1 no.1
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    • pp.55-64
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    • 1997
  • We show that if an even length filter has the same length complementary filter in a generalized linear phase case, the complementary filter is unique, we find sufficient conditions for a unique existence of even length N complementary filter in a quadrature mirror filter bank, and we find all higher degree symmetric filters of length N + 4m which are complementary to a given symmetric filter of even length N.

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Conservative Upwind Correction Method for Scalar Linear Hyperbolic Equations

  • Kim, Sang Dong;Lee, Yong Hun;Shin, Byeong Chun
    • Kyungpook Mathematical Journal
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    • v.61 no.2
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    • pp.309-322
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    • 2021
  • A conservative scheme for solving scalar hyperbolic equations is presented using a quadrature rule and an ODE solver. This numerical scheme consists of an upwind part, plus a correction part which is derived by introducing a new variable for the given hyperbolic equation. Furthermore, the stability and accuracy of the derived algorithm is shown with numerous computations.

MILNE TYPE INEQUALITIES FOR DIFFERENTIABLE s-CONVEX FUNCTIONS

  • Djenaoui, Meriem;Meftah, Badreddine
    • Honam Mathematical Journal
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    • v.44 no.3
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    • pp.325-338
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    • 2022
  • In this paper, a new identity is given. On the basis of this identity, we establish some new estimates of Milne's quadrature rule, for functions whose first derivative is s-convex. We discuss the cases where the derivatives are bounded as well as Lipschitzian. Some illustrative applications are given.

NUMERICAL EVALUATION OF CAUCHY PRINCIPAL VALUE INTEGRALS USING A PARAMETRIC RATIONAL TRANSFORMATION

  • Beong In Yun
    • The Pure and Applied Mathematics
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    • v.30 no.4
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    • pp.347-355
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    • 2023
  • For numerical evaluation of Cauchy principal value integrals, we present a simple rational function with a parameter satisfying some reasonable conditions. The proposed rational function is employed in coordinate transformation for accelerating the accuracy of the Gauss quadrature rule. The efficiency of the proposed rational transformation method is demonstrated by the numerical result of a selected test example.

$0.13{\mu}m$ CMOS Quadrature VCO for X-band Application ($0.13{\mu}m$ CMOS 공정을 이용한 X-band용 직교 신호 발생 전압제어 발진기)

  • Park, Myung-Chul;Jung, Seung-Hwan;Eo, Yun-Seong
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.49 no.8
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    • pp.41-46
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    • 2012
  • A quadrature voltage controlled oscillator(QVCO) for X-band is presented in this paper. The QVCO has fabricated in Charted $0.13{\mu}m$ CMOS process. The QVCO consists of two cross-coupled differential VCO and two differential buffers. The QVCO is controlled by 4 bit of capacitor bank and control voltage of varactor. To have a linear quality factor of varactors, voltage biases of varactors are difference. The QVCO generates frequency tuning range from 6.591 GHz to 8.012 GHz. The phase noise is -101.04 dBc/Hz at 1MHz Offset when output frequency is 7.150 GHz. The supply voltage is 1.5 V and core current 6.5-8.5 mA.

A Study on the Implementation of Wideband Hybrid Quadrature Polar Transmitter Platform (광대역 하이브리드 직교 폴라 송신 플랫폼 구현에 관한 연구)

  • Chang, Sang-Hyun;Lee, Il-Kyoo;Kim, Hyung-Jung;Kang, Sang-Ki
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.1A
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    • pp.28-34
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    • 2011
  • In this paper, we proposed the architecture of the Hybrid Quadrature Polar transmitter which has the wideband characteristics available for the SRD(Short Range Device). First, we developed the simulation environment and carried out performance degradation analysis. Second, we considered the slewrate of the VVA(Voltage Variable Attenuator), time delay between magnitude signal and phase signal and the number of bits for DAC(Digital-to-Analog Converter) as the main performance factors. Then we obtained the minimum required values to meet the transmitting performance requirements of 3GPP standards through simulation results. Based on these results, we implemented the Wideband Hybrid Quadrature Polar transmitter platform and varified the performance requirements through practical measurement.

Development of Full Segment Digital Broadcast Receiver based on the ISDB-T (ISDB-T 기반의 FULL-SEG 방송 수신 장치 개발)

  • Ohm, Woo-Yong
    • Journal of the Institute of Electronics and Information Engineers
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    • v.54 no.1
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    • pp.139-146
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    • 2017
  • The ISDB-T(Integrated Service Digital Broadcasting Terrestrial) can be used in the multipath and impulsive noise, also it provide good performance over mobile reception environment since it use the OFDM(Orthogonal Frequency Division Multiplexing) based transmission technology and time interleaving technology. One segment and full segment are divided according to the number of the assigned segment. And one-segment broadcasting receiver can design and implement without high levels of technology than the full-segment broadcasting receiver using 64QAM(64 Quadrature Amplitude Modulation) since it uses QPSK(Quadrature Phase Shift Keying) modulation/demodulation. However, it has a constraint in the display size and resolution due to data-rate limits. In this paper, we design and implementation of full-segment ISDB-T receiver module which support HD resolution for set-top box, digital TV, navigation. In experimental results, the implemented full-segment ISDB-T receiver module was satisfactory for all of the desired functions.

A Study of Iterative Channel Estimation and Equalization Scheme of FBMC/OQAM in a Frequency Oversampling Domain (FBMC/OQAM 시스템의 주파수 과표본 영역에서의 반복적인 채널 추정 및 등화 기법에 관한 연구)

  • Won, YongJu;Oh, JongGyu;Lee, JinSeop;Kim, JoonTae
    • Journal of Broadcast Engineering
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    • v.21 no.3
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    • pp.391-403
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    • 2016
  • FBMC/OQAM(Filterbank multicarrier on offset-Quadrature Amplitude Modulation) system is a multicarrier modulation which is not need to use cyclic prefix(CP). The CP of OFDM/QAM (orthogonal frequency division multiplexing on Quadrature Amplitude Modulation) system decreases data transmission rate. However, SER(symbol error rate) performance of FBMC/OQAM system is worse than OFDM/QAM system with frequency 1-tap equalization scheme in the frequency selective channel. In this paper, an iterative channel estimation and equalization scheme is performed in a frequency oversampling domain about each sub-channel of FBMC/OQAM system and SER performance using computer simulation is shown. Using the proposed scheme, the SER performance approaches to that of OFDM/QAM system in a frequency selective channel.