• Title/Summary/Keyword: cosine

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Single Photo Resection Using Cosine Law and Three-dimensional Coordinate Transformation (코사인 법칙과 3차원 좌표 변환을 이용한 단사진의 후방교회법)

  • Hong, Song Pyo;Choi, Han Seung;Kim, Eui Myoung
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.37 no.3
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    • pp.189-198
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    • 2019
  • In photogrammetry, single photo resection is a method of determining exterior orientation parameters corresponding to a position and an attitude of a camera at the time of taking a photograph using known interior orientation parameters, ground coordinates, and image coordinates. In this study, we proposed a single photo resection algorithm that determines the exterior orientation parameters of the camera using cosine law and linear equation-based three-dimensional coordinate transformation. The proposed algorithm first calculated the scale between the ground coordinates and the corresponding normalized coordinates using the cosine law. Then, the exterior orientation parameters were determined by applying linear equation-based three-dimensional coordinate transformation using normalized coordinates and ground coordinates considering the calculated scale. The proposed algorithm was not sensitive to the initial values by using the method of dividing the longest distance among the combinations of the ground coordinates and dividing each ground coordinates, although the partial derivative was required for the nonlinear equation. In addition, since the exterior orientation parameters can be determined by using three points, there was a stable advantage in the geometrical arrangement of the control points.

Conservativeness of Response Displacement Method used in Seismic Response Analysis of Power Cable Tunnels (전력구의 지진응답해석법에 사용되는 응답변위법의 보수성 평가)

  • Lim, Jae-Sung;Yang, Dae-Seung;Hwang, Kyeong-Min;Kim, Jae-Min
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.34 no.4
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    • pp.243-254
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    • 2021
  • In this study, the conservatism of the response displacement method (RDM) for the seismic response analysis of box-shaped power cable tunnels was evaluated. A total of 50 examples were used considering the cross-sections of 25 power cable tunnels and two soil conditions for each power cable tunnel. The following three methods were applied for the analysis by the RDM: (1) single cosine method, (2) double cosine method, and (3) dynamic free-field analysis method. A refined dynamic analysis method considering soil-structure interaction (SSI) was employed to compare the conservatism of the RDM. The double cosine method demonstrated the most conservative result, while the dynamic free-field analysis method yielded the least deviation. The soil stiffness reduction factor, C, for the double cosine method was recommended to be 0.9 and 0.7 for the operational performance and collapse prevention levels, respectively, to ensure a probability of at least 80% that the member force by the RDM is larger than that of dynamic SSI analysis.

Optimal Design and Efficient Implementation of UMTS Tx/Rx Filter (UMTS 송수신 필터의 최적 설계 및 효율적인 구현)

  • 김춘기;오우진
    • Proceedings of the IEEK Conference
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    • 2000.09a
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    • pp.593-596
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    • 2000
  • 본 논문에서는 UMTS(Universal Mobile Telecommunications System)의 규격에 명시된 SRCF(Square Root Raised Cosine Filter) 와 호환성을 가지면서, 우수한 성능과 구현이 간단한 필터를 설계 및 구현하는 방법에 대하여 소개한다. 또한, VHDL을 이용하여 ALTERA FPGA서 필터를 직접 구현하는 결과를 보이고 있다.

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CONTROLLABILITY OF SECOND ORDER SEMILINEAR VOLTERRA INTEGRODIFFERENTIAL SYSTEMS IN BANACH SPACES

  • Balachandran, K.;Park, J.Y.;Anthoni, S.-Marshal
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.1-13
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    • 1999
  • Sufficient conditions for controllability of semilinear second order Volterra integrodifferential systems in Banach spaces are established using the theory of strongly continuous cosine families. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.

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A SUFFICIENT CONDITION FOR THE INTEGRABILITY OF REES-STANOJEVIĆ SUM

  • Ram, Babu
    • Kyungpook Mathematical Journal
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    • v.19 no.2
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    • pp.257-260
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    • 1979
  • We show that the condition S of Sidon is sufficient for the integrability of the limit of Rees-$Stanojevi{\acute{c}$ cosine sums $g_n(x)={\frac{1}{2}}{\limits\sum^{n}_{k=0}}{\Delta}a_k+{\limits\sum^{n}_{k=1}}{\limits\sum^{n}_{j=k}}{\Delta}a_j\;cos\;kx$.

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DIGITAL-DBS CHANNEL부 구조 및 기능분석

  • 장규상
    • Information and Communications Magazine
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    • v.12 no.6
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    • pp.88-100
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    • 1995
  • 본 고에서는 디지털 위성방송 시스템의 구성요소중 channel부의 구조 및 기능분석을 국내 디지털 DBS를 기준으로 설명하였다. channel부는 channel coding과 modulation 기능을 수행한다. Channel coding은 Reed Solomon code, interleaving, convolutional code를 연집하여 사용하고, modulation은 QPSK와 raised cosine pulse shaping을 한다. 수신기의 channel부는 antenna, LNB, tuner, QPSK 복조기, Viterbi, deinterleaver, RS decoder로 구성되어있다.

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SOME CLASSES OF INTEGRAL EQUATIONS OF CONVOLUTIONS-PAIR GENERATED BY THE KONTOROVICH-LEBEDEV, LAPLACE AND FOURIER TRANSFORMS

  • Tuan, Trinh
    • Communications of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.485-494
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    • 2021
  • In this article, we prove the existence of a solution to some classes of integral equations of generalized convolution type generated by the Kontorovich-Lebedev (K) transform, the Laplace (𝓛) transform and the Fourier (F) transform in some appropriate function spaces and represent it in a closed form.

Comparison Between DCM and Quaternion Transformation in Lever Arm Compensation of Reference System for Flight Performance Evaluation of DGPS/INS

  • Park, Ji-Hee;Shin, Dong-Ho
    • Journal of Positioning, Navigation, and Timing
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    • v.1 no.1
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    • pp.45-49
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    • 2012
  • The flight performance evaluation of navigation system is very significant because the reliability of navigation data directly affect the safety of aircraft. Especially, the high-level navigation system such as DGPS/INS, need more precise flight performance evaluation method. The performance analysis is evaluated by comparing between the navigation system in aircraft and reference trajectory which is more precise than navigation system in aircraft. In order to verify DGPS/INS performance of m-level, the GPS receiver, which is capable post-processed Carrier-phase Differential GPS(CDGPS) method of cm-level, have to be used as reference system. The DGPS/INS is estimated the Center of Gravity (CG) point of aircraft to offer precise performance while the reference system is output the position of GPS antenna which is mounted on the outside of aircraft. Therefore, in order to more precise performance evaluation, it needs to compensate the lever arm and coordinates transformation. This paper use quaternion and Direct Cosine Matrix(DCM) methods as coordinate transformation matrix in lever arm compensation of CDGPS reference trajectory. And it compares NED errors of DCM and quaternion transformation in lever arm of reference trajectory via DGPS/INS result.

FPGA real-time calculator to determine the position of an emitter

  • Tamura, M.;Aoyama, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.473-478
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    • 2003
  • To detect motions of bodies, we have discussed them with two viewpoints; one is a detection algorithm, and another is the hardware implementation. The former is to find small terms expansions for sine/cosine functions. We researched Maclaurin and optimum expansions, and moreover to reduce hardware amounts, revised the expansions. The expansions don't include divide calculations, and the error is within 0.01%. As for the former problem, there is another approach also; that is the cordic method. The method is based on the rotation of a vector on the complex plain. It is simple iterations and don't require large logic. We examined the precision and convergence of the method on C-simulations, and implemented on HDL. The later problem is to make FPGA within small gates. We considered approaches to eliminate a divider and to reduce the bit number of arithmetic. We researched Newton-Raphson's method to get reciprocal numbers. The higher-order expression shows rapid convergence and doesn't be affected by the initial guess. It is an excellent algorithm. Using them, we wish to design a detector, and are developing it on a FPGA.

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