• Title/Summary/Keyword: Sinusoidal function

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An Optimum Design of the Shaped Cassegrainian Antenna (수정 곡면 카세그레인 안테나의 최적 설계)

  • Ryu, Hwang;Kim, Ik-Sang
    • The Journal of Engineering Research
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    • v.2 no.1
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    • pp.113-123
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    • 1997
  • The purpose of this paper is an optimum design of the shaped Cassegrainian antenna system for the base station. The process of the shaped Cassegrainian antenna design is as follows : 1) the aperture field distribution is determined so as to meet design specifications, 2) a proper design parameter is selected, 3) extracting of the dimension data for the main and sub-reflector antenna To do these, Hansen's distribution is chosen as the aperture field, and the far-field pattern from the aperture is predicted by the angular spectrum. Firstly, the aperture field distribution is designed to satisfy the specification for design frequency, it is confirmed if this distribution meet the specification for another frequency band. The main- and the sub-reflectors are synthesized so as for the given beamwaveguide feed pattern to be transformed into the prescribed aperture distribution. The designed system has circular aperture, left-right symmetry and no tilted structure. The continuous surface functions of reflectors are obtained by adopting the global interpolation technique to the discrete reflector profiles. Jacobi polynomial-sinusoidal is used as the basis function. A Ka-band Cassegrainian antenna operates over 17.7 – 20.2 GHz for down-link band and 27.5 – 30 GHz for up-link band is designed.

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Water Supply forecast Using Multiple ARMA Model Based on the Analysis of Water Consumption Mode with Wavelet Transform. (Wavelet Transform을 이용한 물수요량의 특성분석 및 다원 ARMA모형을 통한 물수요량예측)

  • Jo, Yong-Jun;Kim, Jong-Mun
    • Journal of Korea Water Resources Association
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    • v.31 no.3
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    • pp.317-326
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    • 1998
  • Water consumption characteristics on the northern part of Seoul were analyzed using wavelet transform with a base function of Coiflets 5. It turns out that long term evolution mode detected at 212 scale in 1995 was in a shape of hyperbolic tangent over the entire period due to the development of Sanggae resident site. Furthermore, there was seasonal water demand having something to do with economic cycle which reached its peak at the ends of June and December. The amount of this additional consumption was about $1,700\;\textrm{cm}^3/hr$ on June and $500\;\textrm{cm}^3/hr$ on December. It was also shown that the periods of energy containing sinusoidal component were 3.13 day, 33.33 hr, 23.98 hr and 12 hr, respectively, and the amplitude of 23.98 hr component was the most humongous. The components of relatively short frequency detected at $2^i$[i = 1,2,…12] scale were following Gaussian PDF. The most reliable predictive models are multiple AR[32,16,23] and ARMA[20, 16, 10, 23] which the input of temperature from the view point of minimized predictive error, mutual independence or residuals and the availableness of reliable meteorological data. The predicted values of water supply were quite consistent with the measured data which cast a possibility of the deployment of the predictive model developed in this study for the optimal management of water supply facilities.

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Analysis of the Visual Function in low Vision Patients and Normals in Canada, Using Contrast Sensitivity (대비감도를 사용한 캐나나 내 저시력 환자와 정상인의 시기능 분석)

  • Seo, Jae Myung
    • Journal of Korean Ophthalmic Optics Society
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    • v.14 no.3
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    • pp.83-88
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    • 2009
  • Purpose: It is said that persons with low vision (LV) require larger object and longer exposure time to make a visual judgment. The spatial summation stands for the increasing of contrast sensitivity (CS), as the target size is enlarged. Likewise, the term temporal summation is used when the CS increases as the exposure duration is extended. The present study investigates whether or not greater target and longer exposure duration is required for LV subjects than for control subjects. Methods: Twenty subjects with LV and twenty age-matched controls took part in the study. The CS was measured with a 2 alternative forced choice stair case for 0.7 and 3.0 cycle per degree (c/d) static sinusoidal gratings within a circular aperture. The results were analyzed by mixed ANOVA (2${\times}$2). Results: As expected, the CS in the LV group were overall depressed. For spatial summation, mixed ANOVA (2 groups${\times}$2 spatial frequencies) gave p values of 0.13 for the effect of group, 0.14 for spatial frequency and there was no interaction (p=0.59). Similarly, for temporal summation the results were p=0.19 for group, 0.31 for spatial frequency and p=0.95 for interaction. Conclusions: Despite the depression of CS in the LV group, a significant difference for spatial and temporal summation between two subject groups was not reached.

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A Method for Estimating the Lung Clinical Target Volume DVH from IMRT with and without Respiratory Gating

  • J. H. Kung;P. Zygmanski;Park, N.;G. T. Y. Chen
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2002.09a
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    • pp.53-60
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    • 2002
  • Motion of lung tumors from respiration has been reported in the literature to be as large as of 1-2 cm. This motion requires an additional margin between the Clinical Target Volume (CTV) and the Planning Target Volume (PTV). While such a margin is necessary, it may not be sufficient to ensure proper delivery of Intensity Modulated Radiotherapy (IMRT) to the CTV during the simultaneous movement of the DMLC. Gated treatment has been proposed to improve normal tissues sparing as well as to ensure accurate dose coverage of the tumor volume. The following questions have not been addressed in the literature: a) what is the dose error to a target volume without gated IMRT treatment\ulcorner b) what is an acceptable gating window for such treatment. In this study, we address these questions by proposing a novel technique for calculating the 3D dose error that would result if a lung IMRT plan were delivered without gating. The method is also generalized for gated treatment with an arbitrary triggering window. IMRT plans for three patients with lung tumor were studied. The treatment plans were generated with HELIOS for delivery with 6 MV on a CL2100 Varian linear accelerator with a 26 pair MLC. A CTV to PTV margin of 1 cm was used. An IMRT planning system searches for an optimized fluence map ${\Phi}$ (x,y) for each port, which is then converted into a dynamic MLC file (DMLC). The DMLC file contains information about MLC subfield shapes and the fractional Monitor Units (MUs) to be delivered for each subfield. With a lung tumor, a CTV that executes a quasi periodic motion z(t) does not receive ${\Phi}$ (x,y), but rather an Effective Incident Fluence EIF(x,y). We numerically evaluate the EIF(x,y) from a given DMLC file by a coordinate transformation to the Target's Eye View (TEV). In the TEV coordinate system, the CTV itself is stationary, and the MLC is seen to execute a motion -z(t) that is superimposed on the DMLC motion. The resulting EIF(x,y)is inputted back into the dose calculation engine to estimate the 3D dose to a moving CTV. In this study, we model respiratory motion as a sinusoidal function with an amplitude of 10 mm in the superior-inferior direction, a period of 5 seconds, and an initial phase of zero.

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Application of Amplitude Demodulation to Acquire High-sampling Data of Total Flux Leakage for Tendon Nondestructive Estimation (덴던 비파괴평가를 위한 Total Flux Leakage에서 높은 측정빈도의 데이터를 획득하기 위한 진폭복조의 응용)

  • Joo-Hyung Lee;Imjong Kwahk;Changbin Joh;Ji-Young Choi;Kwang-Yeun Park
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.27 no.2
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    • pp.17-24
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    • 2023
  • A post-processing technique for the measurement signal of a solenoid-type sensor is introduced. The solenoid-type sensor nondestructively evaluates an external tendon of prestressed concrete using the total flux leakage (TFL) method. The TFL solenoid sensor consists of primary and secondary coils. AC electricity, with the shape of a sinusoidal function, is input in the primary coil. The signal proportional to the differential of the input is induced in the secondary coil. Because the amplitude of the induced signal is proportional to the cross-sectional area of the tendon, sectional loss of the tendon caused by ruptures or corrosion can be identified by the induced signal. Therefore, it is important to extract amplitude information from the measurement signal of the TFL sensor. Previously, the amplitude was extracted using local maxima, which is the simplest way to obtain amplitude information. However, because the sampling rate is dramatically decreased by amplitude extraction using the local maxima, the previous method places many restrictions on the direction of TFL sensor development, such as applying additional signal processing and/or artificial intelligence. Meanwhile, the proposed method uses amplitude demodulation to obtain the signal amplitude from the TFL sensor, and the sampling rate of the amplitude information is same to the raw TFL sensor data. The proposed method using amplitude demodulation provides ample freedom for development by eliminating restrictions on the first coil input frequency of the TFL sensor and the speed of applying the sensor to external tension. It also maintains a high measurement sampling rate, providing advantages for utilizing additional signal processing or artificial intelligence. The proposed method was validated through experiments, and the advantages were verified through comparison with the previous method. For example, in this study the amplitudes extracted by amplitude demodulation provided a sampling rate 100 times greater than those of the previous method. There may be differences depending on the given situation and specific equipment settings; however, in most cases, extracting amplitude information using amplitude demodulation yields more satisfactory results than previous methods.