• Title/Summary/Keyword: 복소 분석

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The Effects of Material Attenuation on Acoustic Resonance Scattering from Cylindrical Tubes (초음파 감쇠가 원형관의 공명 산란에 미치는 영향)

  • Lee, J.P.;Choi, M.S.;Joo, Y.S.;Lim, H.T.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.14 no.1
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    • pp.23-31
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    • 1994
  • Sound scattering by cylindrical tubes submerged in water is numerically analyzed with material attenuation considered. Complex wave numbers is introduced to see the effects of material attenuation on resonance scattering Backscattering pressures from the shells immersed in water are calculated for air-filled aluminium and acryl tubes. In order to investigate the resonance characteristics in detail, numerical analysis program has been completed which enables us to evaluate the effects of material attenuation. The testing of the program by comparison with previous results is reported and calculation results are compared and discussed for both aluminium and acryl tubes with material attenuation considered. The resonance peak and width is strongly affected by attenuation and this becomes severe as the peak is sharp and narrow and $k_{1{\alpha}}$ is high.

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Design of a Frequency Offset Corrector and Analysis of Noises due to Quantization Angle in OFDM LAN Systems (OFDM 시스템에서 주파수편차 교정기의 설계와 각도 양자화에 의한 잡음의 분석)

  • 황진권
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.7A
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    • pp.794-806
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    • 2004
  • This paper deals with correction of frequency offset and analysis of quantization angle noise in the IEEE 802.1la OFDM system. The rotation phase per symbol due to the carrier frequency offset is estimated from auto-correlation of the short Preambles, which are over-sampled for the reduction of noise in OFDM signals. The pilot signals are introduced to estimate the rotation phase per OFDM symbol due to estimation error of the carrier frequency offset and the sampling frequency onset. During the estimation and correction of the frequency onsets, a CORDIC processor and a look-up table are used for the conversion between a rotation phase and its complex number. Being calculated by a limited number of bits in the CORDIC processor and the look-up table, the rotation phase and its complex number have quantization angle errors. The quantization errors are analyzed as SNR (signal to noise ratio) due to the quantization bit numbers. The minimum bit number is suggested to meet the specification of IEEE 802.1la properly. Finally, the quantization errors are evaluated through simulations on number of quantization bits and SNR of received signals.

Performance Evaluation of Channel Estimation using Trigonometric Polynomial Approximation in OFDM Systems with Transmit Diversity (송신 다이버시티를 가진 OFDM 시스템에서 삼각다항식 근사화를 이용한 채널 추정 기법의 성능평가)

  • 이상문;최형진
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.3C
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    • pp.248-256
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    • 2003
  • Space-time coding was designed for an efficient transmit diversity technique to improve performance of wireless communication. For the transmit diversity using space-time coding, the receiver requires to estimate channel parameters corresponding to each transmit antennas. In this paper, we propose an efficient channel estimation scheme based on trigonometric polynomial approximation in OFDM systems with transmit diversity using space-time coding. The proposed scheme is more efficient than the conventional scheme in terms of the computational complexity. For QAM modulation, when the size of FFH is 128, the conventional scheme with significant tap caching of 7 requires 9852 complex multiplications for TU, HT and BU channels. But the proposed scheme requires 2560, 7680 and 3584 complex multiplications for TU, HT and BU channels, respectively. Especially, for channels with smaller Doppler frequency and delay spreads, the proposed scheme has the improved BER performance and complexity. In addition, we evaluate the performance of maximum delay spread estimation in unknown channel. The performance of the proposed scheme is investigated by computer simulation in various multi-path fading environments.

Performance analysis of TR-UWB systems using Frequency-components (주파수 성분을 이용한 TR-UWB 시스템의 성능분석)

  • Jang, Dong-Heon;Yang, Hoon-Gee
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2008.05a
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    • pp.985-988
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    • 2008
  • This paper introduces a new TR-UWB system, using frequency-domain components of UWB pulses. This is achieved by separating converted frequency-components into real and imaginary parts, and both parts are correlated and effectively combined. We make an analysis that the new scheme improves performance compared with a conventional by complex correlation computing. The simulation results confirmed that the proposed scheme has better performance than existing system.

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THE CHANGE OF THE INITIAL DYNAMIC VISCO-ELASTIC MODULUS OF COMPOSITE RESINS DURING LIGHT POLYMERIZATION (광중합 복합레진의 중합초기 동적 점탄성의 변화)

  • Kim, Min-Ho;Lee, In-Bog
    • Restorative Dentistry and Endodontics
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    • v.34 no.5
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    • pp.450-459
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    • 2009
  • The aim of this study was to measure the initial dynamic modulus changes of light cured composites using a custom made rheometer. The custom made rheometer consisted of 3 parts: (1) a measurement unit of parallel plates made of glass rods, (2) an oscillating shear strain generator with a DC motor and a crank mechanism, (3) a stress measurement device using an electromagnetic torque sensor. This instrument could measure a maximum torque of 2Ncm, and the switch of the light-curing unit was synchronized with the rheometer. Six commercial composite resins [Z-100 (Z1), Z-250 (Z2), Z-350 (Z3), DenFil (DF), Tetric Ceram (TC), and Clearfil AP-X (CF)] were investigated. A dynamic oscillating shear test was undertaken with the rheometer. A certain volume ($14.2\;mm^3$) of composite was loaded between the parallel plates, which were made of glass rods (3 mm in diameter). An oscillating shear strain with a frequency of 6 Hz and amplitude of 0.00579 rad was applied to the specimen and the resultant stress was measured. Data acquisition started simultaneously with light curing, and the changes in visco-elasticity of composites were recorded for 10 seconds. The measurements were repeated 5 times for each composite at $25{\pm}0.5^{\circ}C$. Complex shear modulus G*, storage shear modulus G', loss shear modulus G" were calculated from the measured strain-stress curves. Time to reach the complex modulus G* of 10 MPa was determined. The G* and time to reach the G* of 10 MPa of composites were analyzed with One-way ANOVA and Tukey's test ($\alpha$ = 0.05). The results were as follows. 1. The custom made rheometer in this study reliably measured the initial visco-elastic modulus changes of composites during 10 seconds of light curing. 2. In all composites, the development of complex shear modulus G* had a latent period for $1{\sim}2$ seconds immediately after the start of light curing, and then increased rapidly during 10 seconds. 3. In all composites, the storage shear modulus G" increased steeper than the loss shear modulus G" during 10 seconds of light curing. 4. The complex shear modulus of Z1 was the highest, followed by CF, Z2, Z3, TC and DF the lowest. 5. Z1 was the fastest and DF was the slowest in the time to reach the complex shear modulus of 10 MPa.

Effects of Compatibilizer and Graphene Oxide on the Impact Strength of PC/ABS Blend (PC/ABS의 충격강도에 미치는 상용화제와 그래핀 옥사이드의 영향)

  • Park, Ju Young;Lee, Bom Yi;Cha, Hye Jin;Kim, Youn Cheol
    • Applied Chemistry for Engineering
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    • v.26 no.2
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    • pp.173-177
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    • 2015
  • In this study, effects of both the grafted ABS-g-MAH and the added graphene oxide (GO) on the impact strength of polycarbonate (PC)/poly(acrylonitrile-butadiene-styrene) (ABS) blends were discussed. The PC/ABS blends and PC/ABS/GO composites were fabricated by using twin screw extruder with ABS-g-MAH as a compatibilizer. The ABS-g-MAH was prepared by melting extrusion of ABS and maleic anhydride (MAH) with DCP (dicumyl peroxide) as an initiator using twin screw extruder and the synthesis of ABS-g-MAH was confirmed by the presence of carbonyl group (C=O) peak at $1780cm^{-1}$ of FT-IR spectrum. According to the thermal, rheological, and impact properties of PC/ABS blends, 5 phr (parts per hundred resin) of compatibilizer was chosen as an optimum content for the PC/ABS/GO composites. It was observed that the thermal decomposition of ABS/PC/GO composites increased with GO contents, but there was no significant changes or a decrease in the impact strength. Also the composite fabricated by ABS/GO showed small increase in the impact strength. From the result of the dynamic rheometer to observe the processing properties, the complex viscosities of PC/ABS blend including the compatibilizer increased, but the complex viscosities of composites added GO were not changed.

Comprehensive Analysis of Hardware Architectures of Pipeline FFT Processor (파이프라인 FFT 프로세서 설계을 위한 하드웨어 구조 분석)

  • Jung, Sung-Wan;Jeong, Yong-Jin
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.429-430
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    • 2008
  • FFT(Fast Fourier Transform)는 멀티미디어 통신 및 디지털 신호처리 분야, 특히 무선통신이나 디지털 방송 등에서 쓰이는 OFDM(Orthogonal Frequency Division Multiplexing)에서 필수적인 역할을 하고 있다. 본 논문에서는 파이프라인 FFT 프로세서 설계의 다양한 알고리즘 및 하드웨어 구조에 대해 살펴보고 이를 한 눈에 파악할 수 있는 설계 가이드라인을 제시한다. 또한 분석 중 Radix-2 Single-path Delay Feedback의 복소곱셈기의 비효율적인 면을 찾고 새로운 R2SDF 구조를 제안한다.

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매스매티카를 활용한 나비곡선의 작도 및 기하학적 성질 분석

  • Geum, Yeong-Hui;Kim, Yeong-Ik
    • Communications of Mathematical Education
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    • v.18 no.1 s.18
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    • pp.257-266
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    • 2004
  • 자연의 세계에서 나뭇잎, 돌기물, 구름, 해안선, 곤충의 모습 등에 내재하고 있는 아름다움은 흔히 균형성, 대칭성, 다양성 등으로부터 비롯된다. 자연 현상은 복소수를 활용하여 극좌표 표현으로 묘사되는 경우가 많다. 본 논문에서는 1989년 Temple H. Fay가 Amer. Math. Monthly 96(5)호에서 발표한 나비곡선 r= e$^{cos{\theta}}$-2cos4${\theta}$+sin$^5$($\frac{\theta}{12}$)의 기하학적 성질을 대칭 이동, 회전 이동, 수치적분, 미분, 극좌표계, 삼각함수, 지수함수 및 매개함수의 표현 등 고등학교 및 대학의 미적분학 관점에서 살펴 보고 극좌표 도형에 관한 흥미 유발과 더불어 컴퓨터 활용 방법을 제시하기로 한다. 수학전문 소프트웨어인 매스매티카를 활용하여 나비곡선의 작도 및 기하학적 성질을 분석하고자 한다.

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Signal Parameter Estimation via Transfer Matrix Analysis (전달 행렬 분석에 의한 신호변수 추정 기법 연구)

  • 조운현
    • The Journal of the Acoustical Society of Korea
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    • v.17 no.4
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    • pp.82-87
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    • 1998
  • 여러 음원들에 의해 형성된 파동장내에서 각 신호음의 주파수 특성과 시간 지연 (time delay)을 추정할 수 있는 알고리즘을 개발하였다. 이 알고리즘의 관련 수식은 두 개의 상호 간섭하는 신호가 입사하고 여기에 주변 환경에 의한 랜덤 잡음이 첨가된다고 가정하여 유도되었으며 두 개 이상의 신호음이 있는 상황에 대해 확장이 가능하다. 본 논문에서 시간 지연이 일정한 수신 신호 영역에 등간격으로 놓여진 수신기로부터 각 센서에 수신된 신호의 스펙트럼은 M개의 센서에 대해 K개의 음원 스펙트럼과 K개의 조정 벡터(steering vector) 의 선형 조합(linear combination)으로 주파수에서 모델된다. 각 음원의 주파수 특성과 음원 으로 들어오는 신호의 입사각을 결정하기 위하여 본 알고리즘은 전달 행렬(transfer matrix) 을 계산하고 그 전달 행렬의 고유값(eigenvalue)과 고유벡터(eigenvector)를 분석한다. 이 고 유값들은 복소수이며 그 크기는 진폭 변환 계수를 결정한다. 위상은 수신기의 간격으로부터 시간 지연을 결정하는 기울기를 갖는 주파수의 선형 함수이다. 전달 행렬에의 입력 자료들 은 동일 간격 소자간의 cross-power spectra이다.

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Blind Channel Estimation based on Hadamard Matrix Interstream Transmission for Multi-Cell MIMO Networks (다중 셀 MIMO 네트워크를 위한 Hadamard 행렬 Interstream 전송 기반 Blind 채널 추정)

  • Yang, Jae-Seung;Hanif, Mohammad Abu;Park, Ju-Yong;Lee, Moon-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.15 no.4
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    • pp.119-125
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    • 2015
  • In this paper, we introduce a Hadamard matrix interstream transmission based blind channel estimation for multi-cells multiple-input and multiple-output (MIMO) networks. The proposed scheme is based on a network with mobile stations (MS) which are deployed with multi cells. We assume that the MS have the signals from both cells. The signal from near cell are considered as desired signal and the signals from the other cells are interference signal. Since the channel is blind, so that we transmit Hadamard matrix pattern pilot stream to estimate the channel; that gives easier and fast channel estimation for large scale MIMO channel. The computation of Hadamard based system takes only complex additions, and thus the complexity of which is much lower than the scheme with Fourier transform since complex multiplications are not needed. The numerical analysis will give perfection of proposed channel estimation.