• Title/Summary/Keyword: 위상(수)학

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A New Technique for Improvement of Dynamic Range in Fiber Optic Acoustic Sensor using Sagnac Interferometers (Sagnac 간섭계를 이용한 광섬유 음향 센서의 동적 범위 향상 기법)

  • Nam, Sung-Hyun
    • Journal of Sensor Science and Technology
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    • v.9 no.6
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    • pp.416-423
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    • 2000
  • A new demodulation technique which can be used for the fiber optic acoustic sensor system using Sagnac interferometer is described. The theoretical limitation in dynamic range of the quadrature demodulation technique can be removed by the proposed BPSK(Binary Phase Shift Keying) demodulation technique. Full demodulation of input acoustic signal is possible with just simple electronics by eliminating the necessity of the high frequency phase modulation. This technique is suitable for digital signal processing of fiber optic sensor systems and can be applicable for other interferometers.

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The History of Uniform Structures (고른 구조의 역사)

  • 이승온;민병수
    • Journal for History of Mathematics
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    • v.17 no.3
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    • pp.1-12
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    • 2004
  • In the Analysis, there have been many cases of confusion on topological structure and uniform structure because they were dealt in metric spaces. The concept of metric spaces is generalized into that of topological spaces but its uniform aspect was much later generalized into the uniform structure by A. Weil. We first investigate Weil's life and his mathematical achievement and then study the history of the uniform structure and its development.

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교사양성대학 수학교육과 '해석학' 강좌 운영 -교육과정 및 교수학습 방법개발과 관련한-

  • Lee, Byeong-Su
    • Communications of Mathematical Education
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    • v.15
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    • pp.23-28
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    • 2003
  • 실수계와 n-차원 벡터 공간을 대수적 특성, 순서적 특성 그리고 위상적 특성을 중심으로 전개하고, 실변수 실가 함수와 n-차원 벡터 공간을 정의역으로 하는 실가함수를 연속성 (미분가능성), 단조성 그리고 볼록성을 중심으로 내용을 다룬다. 특히 실생활과 관련하여 이론을 전개하여 학습을 지도할 수 있는 교육과정을 개발하고, 직관적인 사고와 수리 논리적인 사고의 적절한 배합을 통해 학습자들이 적극적으로 학습에 임할 수 있는 교수 학습 방법을 개발하는 것을 목적으로 한다.

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Evaluation of difference in respiratory phase between amplitude- and phase-based four-dimensional computed tomography (위상 기반 사차원전산화단층촬영과 진폭 기반 사차원전산화단층촬영 영상에서의 위상차 평가)

  • Lee, So Hyang;Park, Soo Yeon;Kim, Jong Sik;Choi, Byung Ki;Park, Hee Chul;Jung, Sang Hoon
    • The Journal of Korean Society for Radiation Therapy
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    • v.27 no.1
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    • pp.73-78
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    • 2015
  • Purpose : Under the assumption of change to the amplitude based sorting, the study will use four dimensional computed tomography imaging (4DCT) arrayed using the phase based sorting to analyze the respiratory phase difference. Materials and Methods : The study analyzed the 4DCT (4-dimensional computed tomography) images of 10 liver cancer patients that were treated with respiratory gated radiotherapy from 2015 February to March. Using RPM respiratory gating (RPM 1.7.5, Varian, USA) equipment, imaging according to respiratory cycle of phase based sorting was acquired and using a treatment planning system (Pinnacle 9.2, Philips, USA) the acquired imaging according to respiratory cycle was used to measure the abdominal movement value by respiratory cycle. The measuring point was the point where the center point of the Marker Block and the body surface met in the 50% phase image and here the coordinate values Lateral, Vertical, Longitudinal (X, Y, Z) were set as reference points, and on the X, Z plane identical to the reference point, using the identical method the Y axis coordinate value of each 0%, 30%, 40%, 50%, 60%, 80% phase images were acquired to quantitatively measure the variation of distance to the Y axis. The abdominal movement value according to respiration was applied to the theoretical model that the value decreases linearly from maximum inhalation to maximum exhalation to divide the variation of my value to predict as amplitude value by respiratory cycle and conversely the variation in amplitude was recalculated with the phase variation deviation value to analyze. Results : The deviation value between expected value and actual location was the largest in the 30% phase with 0.24 cm, and standard deviation was also the largest in 30% phase with 0.13 cm. The effective value of the deviation value derived from the average of the deviation squared value of each patient appeared as minimum 0.7 cm, maximum 0.18 cm, average 0.12 cm, and standard deviation 0.4 cm. Also by dividing the actual movement distance value with the peak expiration value then converting it into %Phase, the deviation value with actual phase 16.5% in 30% phase, 10.0% and 40% phase, 10.0% and 60% phase, 15.4% and 80% phase, and overall average about 13%, and arraying based on amplitude, phase shift occurred and further it was from peak expiration the chance of deviation occurrence was increasingly measured. Conclusion : Based on the results of the study there were differences between value acquired based on theoretical model and actual value. Therefore in respiratory gated radiotherapy using external surrogates, there needs to be establishment of respiration gated radiation system that avoids the combination of two Sorting methods considering that there will be occurrence of treatment and corresponding clinical differences due to the phase difference that occur due to the Amplitude based Phase Sorting.

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Study on the Dependence of Ultrasonic Phase Velocity on Porosity, Frequency and Propagation Angle in Cancellous Bone (해면질골에서 다공율, 주파수 및 전파각에 대한 초음파 위상속도의 의존성 연구)

  • Lee, Kang-Il;Kim, Yong-Tae;Choi, Min-Joo
    • Journal of the Korean Society for Nondestructive Testing
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    • v.28 no.2
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    • pp.112-118
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    • 2008
  • In the present study, the dependence of ultrasonic phase velocity on porosity and frequency in cancellous bone was predicted using the Biot model and the modified Biot-Attenborough (MBA) model for propagation in fluid-saturated porous media. It was also compared with previously published measurements in human and bovine cancellous bones in vitro. It was shown that the phase velocity in cancellous bone decreased with increasing porosity and frequency The dependence of phase velocity on propagation angle in cancellous bone as predicted using the Schoenberg model together with the Biot model and tile MBA model which were modified to include the effect of angle. The theoretical models used in the present study advance our understanding of the interaction between ultrasound and cancellous bone and can be expected to be usefully employed for the diagnosis of osteoporosis.

Reconstructing Flaw Image Using Dataset of Full Matrix Capture Technique (Full Matrix Capture 데이터를 이용한 균열 영상화)

  • Lee, Tae-Hun;Kim, Yong-Sik;Lee, Jeong-Seok
    • Journal of the Korean Society for Nondestructive Testing
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    • v.37 no.1
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    • pp.13-20
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    • 2017
  • A conventional phased array ultrasonic system offers the ability to steer an ultrasonic beam by applying independent time delays of individual elements in the array and produce an ultrasonic image. In contrast, full matrix capture (FMC) is a data acquisition process that collects a complete matrix of A-scans from every possible independent transmit-receive combination in a phased array transducer and makes it possible to reconstruct various images that cannot be produced by conventional phased array with the post processing as well as images equivalent to a conventional phased array image. In this paper, a basic algorithm based on the LLL mode total focusing method (TFM) that can image crack type flaws is described. And this technique was applied to reconstruct flaw images from the FMC dataset obtained from the experiments and ultrasonic simulation.

Frequency modulation spectroscopy of a super-cavity using a single mode He-Ne laser (단일모드 헬륨네온레이저를 사용한 초공진기의 주파수 변조 분광연구)

  • 서호성;윤태현;조재흥;정명세;류갑열;김영덕;최옥식
    • Korean Journal of Optics and Photonics
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    • v.3 no.1
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    • pp.27-36
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    • 1992
  • Frequency modulation spectroscopy of the super-cavity, of which finesse is app. 40,000 has been demonstrated by using a sigle mode He-Ne laser. In-phase and quardrature components of frequency modulation signals (FM signal) were obtained by using the 1.5 MHz-driven-electrooptic phase modulator. The vector locus of the FM signa in the phase space, which is consisted of in-phase and quardrature components of the FM signal, was observed and analyzed for the dependence of FM signal upon the phase of the reference signal of a phase-sensitive-detector. According to rotating the phase of the reference signal, the vector locus was observed to rotate with the same phase angle as the reference signal. The in-phase component of the FM signals will be used to stabilize the frequency of the He-Ne laser to the resonant frequency of the super-cavity.

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Modeling of Piano Sound Using Method of Line-Segment Approximation and Curve Fitting (선분 근사법과 곡선의 적합성을 이용한 피아노 음의 모델링)

  • Lim, Hun;Chong, Ui-Pil
    • The Journal of the Acoustical Society of Korea
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    • v.19 no.3
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    • pp.86-91
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    • 2000
  • In this paper, we will discuss the characteristics of the magnitude and the phase of the piano sound in frequency domain by using the FFT(Fast Fourier Transform). The method deciding the parameters representing those sounds through the mathematical model is described. We used the curve fitting method for the modeling of the harmonic part of the sound including the fundamental frequency in order to minimize the errors between original sounds and modeled sounds. furthermore, we used the line segment approximation method for the modeling of the noise part around fundamental frequency. We also applied the same method for the phase model and could get the modeled sound to be similar to the original sound using the parameters. Therefore the high compression ratio comparing the modeled sound to the original sound is achieved.

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Comparison of Calibration Models for GPS Antenna Phase Center Variations (GPS 안테나 위상중심변동 보정모델 비교)

  • Park, Kwan-Dong;Won, Ji-Hye
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.24 no.4
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    • pp.319-326
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    • 2006
  • To get the highly-accurate and precise position of a GPS receiver, they should consider the state-of-the-art GPS force and measurement models. Especially, the phase center variations (PCV) of a GPS antenna can cause several centimeters of positioning errors in the vertical direction. In this study, we implemented four different models of PCV and evaluated their impact on the computed coordinates. The test data were taken from the 14 National Geography Information Institute permanent GPS stations and 30 Minisry of Government Administration and Home Affairs sites. For different combinations of calibration methods, an average of 1.3-2.6cm of height difference was observed. Also, we found a maximum error of ${\sim}4mm$ in the estimates of the precipitable water vapors.

A single-channel speech enhancement method based on restoration of both spectral amplitudes and phases for push-to-talk communication (Push-to-talk 통신을 위한 진폭 및 위상 복원 기반의 단일 채널 음성 향상 방식)

  • Cho, Hye-Seung;Kim, Hyoung-Gook
    • The Journal of the Acoustical Society of Korea
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    • v.36 no.1
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    • pp.64-69
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    • 2017
  • In this paper, we propose a single-channel speech enhancement method based on restoration of both spectral amplitudes and phases for PTT (Push-To-Talk) communication. The proposed method combines the spectral amplitude and phase enhancement to provide high-quality speech unlike other single-channel speech enhancement methods which only use spectral amplitudes. We carried out side-by-side comparison experiment in various non-stationary noise environments in order to evaluate the performance of the proposed method. The experimental results show that the proposed method provides high quality speech better than other methods under different noise conditions.