• Title/Summary/Keyword: Interpolation Function

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Channel Transfer Function Estimation based on Delay and Doppler Profile for Underwater Acoustic OFDM Communication System

  • Shiho, Oshiro;Tomohisa, Wada
    • International Journal of Computer Science & Network Security
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    • v.23 no.1
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    • pp.96-102
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    • 2023
  • In this paper, we proposed Channel Transfer Function estimation based on Delay and Doppler Profile for underwater acoustic OFDM communication system. It improved the estimation accuracy of the channel transfer function by linear time interpolation the change of Scattered Pilot (SP) insertion frequency in the time direction and the time by Delay and Doppler profile that analyzes the multipath situation of the channel investigated the performance of interpolation by simulation and report it. Previous works is inserted SP every 4 OFDM. It was effective under the environment without multipath, but it has observed that the effect of CTF compensation has been lowered in multipath channel condition. In addition to be better when inserted SP every 2 OFDM. But the amount of sending data will be decrease. Therefore, we conducted research to improve 4 OFDM with new interpolator. A computer simulation was performed as a comparison of SP inserted every 4 OFDM, SP inserted every 2 OFDM, and 4 OFDM with new interpolator. the performance of the proposed system is overwhelmingly improved, and the performance is slightly improved even 64 QAM.

A Study on the Effective Interpolation Methods to the Fluid-Structure Interaction Analysis for Large-Scale Structure (거대 구조물의 유체-구조 연계 해석을 위한 효과적인 보간기법에 대한 연구)

  • Lee, Ki-Du;Lee, Young-Shin;Kim, Dong-Soo;Lee, Dae-Yearl
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.5
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    • pp.433-441
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    • 2009
  • Generally, the events in nature have multi-disciplinary characteristics. To solve this problems, these days loosely coupled methods are widely applied because of advantage of solvers which are already developed and well proved. Those solvers use different mesh system, so transformation and mapping of data are vital in the field of fluid-structure interaction(FSI). In this paper, the interpolation of deformation which is used globally and compactly supported radial basis functions(RBF), and mapping of force which use principle of virtual work are examined for computing time and accuracy to compare ability with simple 3-D problem. As the results, interpolation scheme of compactly supported radial basis functions are useful to interpolation and mapping for large-scale airplane in FSI with a k-dimensional tree(kd-tree) which is a space-partitioning data structure for organizing points in a k-dimensional space.

Edge-Adaptive Color Interpolation for CCD Image Sensor

  • Heo, Bong-Su;Hong, Hun-Seop;Gang, Mun-Gi
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.39 no.1
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    • pp.1-8
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    • 2002
  • The color interpolation scheme can play an important role in overcoming the physical limitation of the CCD image sensor and in increasing the resolution of color signals, while most conventional approaches result in blurred edges and false color artifacts. In this paper, we have proposed an improved edge-adaptive color interpolation scheme for a progressive scan CCD image sensor with RGB color filter array The edge indicator function proposed utilizes not only the within-channel correlation but also the cross-channel correlation, and reflects the edge characteristics of an image adaptively. The color components unavailable for at each channel are interpolated along the edge direction, not across the edges, so that aliasing artifacts are supressed. Furthermore, we eliminated false color artifacts resulting from the color image formation model in the edge-adaptive color interpolation scheme by adopting the switching algorithm based on the color edge detection. Simulation results of the proposed algorithm indicate that the improved edge-adaptive color interpolation scheme produces quantitatively better and visually more pleasing results than conventional approaches.

An Image Interpolation by Adaptive Parametric Cubic Convolution (3차 회선 보간법에 적응적 매개변수를 적용한 영상 보간)

  • Yoo, Jea-Wook;Park, Dae-Hyun;Kim, Yoon
    • Journal of the Korea Society of Computer and Information
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    • v.13 no.6
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    • pp.163-171
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    • 2008
  • In this paper, we present an adaptive parametric cubic convolution technique in order to enlarge the low resolution image to the high resolution image. The proposed method consists of two steps. During the first interpolation step, we acquire adaptive parameters in introducing a new cost-function to reflect frequency properties. And, the second interpolation step performs cubic convolution by applying the parameters obtained from the first step. The enhanced interpolation kernel using adaptive parameters produces output image better than the conventional one using a fixed parameter. Experimental results show that the proposed method can not only provides the performances of $0.5{\sim}4dB$ improvements in terms of PSNR, but also exhibit better edge preservation ability and original image similarity than conventional methods in the enlarged images.

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APPROXIMATION METHOD FOR SCATTERED DATA FROM SHIFTS OF A RADIAL BASIS FUNCTION

  • Yoon, Jung-Ho
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1087-1095
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    • 2009
  • In this paper, we study approximation method from scattered data to the derivatives of a function f by a radial basis function $\phi$. For a given function f, we define a nearly interpolating function and discuss its accuracy. In particular, we are interested in using smooth functions $\phi$ which are (conditionally) positive definite. We estimate accuracy of approximation for the Sobolev space while the classical radial basis function interpolation applies to the so-called native space. We observe that our approximant provides spectral convergence order, as the density of the given data is getting smaller.

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AN ERROR BOUND ANALYSIS FOR CUBIC SPLINE APPROXIMATION OF CONIC SECTION

  • Ahn, Young-Joon
    • Communications of the Korean Mathematical Society
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    • v.17 no.4
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    • pp.741-754
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    • 2002
  • In this paper we present an error bound for cubic spline approximation of conic section curve. We compare it to the error bound proposed by Floater [1]. The error estimating function proposed in this paper is sharper than Floater's at the mid-point of parameter, which means the overall error bound is sharper than Floater's if the estimating function has the maximum at the midpoint.

A Performance Study of First-order Shear Deformable shell Element Based on Loop Subdivision Surface (루프서브디비전 곡면을 이용한 일차전단 변형 쉘요소의 성능에 관한 연구)

  • 김형길;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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    • pp.261-268
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    • 2003
  • A first order shear deformable Loop-subdivision triangular element which can handle transverse shear deformation of moderately thick shell is developed. The developed element is general since it includes the effect of transverse shear deformation and has standard six degrees of freedom per node.(three translations and three rotations) The quartic box-spline function is employed as interpolation basis function. Numerical examples for the benchmark problems are analyzed in order to assess the performance of the newly developed subdivision shell element. Both in the uniform and in the distorted mesh configurations.

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An O(h6 ) Quinltic Spline Interpolation for Quintic Spline Collocation Method

  • Chung, Seiyoung
    • Journal of the Chungcheong Mathematical Society
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    • v.7 no.1
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    • pp.237-242
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    • 1994
  • An quintic spline interpolate to a function in $C^{10}$[a, b] and its O($h^6$) error behavior are presented when its fourth derivative satisfies some kind of end conditions. The O($h^6$) relations between its derivatives up to fourth order and the m-th derivatives of the given function are also given at the nodes.

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Analysis and Optimum Design of Ceramic Insulator Using FEM (유한요소법을 이용한 애자의 전계해석 및 최적형상 설계)

  • Lee, Hyang-Beom;Park, Il-Han;Hahn, Song-Yop
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.181-183
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    • 1997
  • In this paper the analysis and optimum design of ceramic insulator is studied. The finite element method (FEM) is used for the electromagnetic solution and the design sensitivity analysis is used for the optimization. The parameterization of design variables and movable points is introduced and the linear function is used as a interpolation function.

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ON THE GIBBS PHENOMENON FOR THE SHANNON SAMPLING SERIES IN WAVELET SUBSPACES AND A WAY TO GO AROUND

  • Shim, Hong-Tae
    • Communications of the Korean Mathematical Society
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    • v.13 no.1
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    • pp.181-193
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    • 1998
  • The Shannon sampling series is the prototype of an interpolating series or sampling series. Also the Shannon wavelet is one of the protypes of wavelets. But the coefficients of the Shannon sampling series are different function values at the point of discontinuity, we analyze the Gibbs phenomenon for the Shannon sampling series. We also find a way to go around this overshoot effect.

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