• Title/Summary/Keyword: circular convolution

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Efficient Computation and Control of Geometric Shape Morphing based on Direction Map (방향지도 기반 기하모핑의 효율적인 계산 및 제어 방법)

  • Lee, J.H.;Kim, H.;Kim, H.S.
    • Korean Journal of Computational Design and Engineering
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    • v.8 no.4
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    • pp.243-253
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    • 2003
  • This paper presents a new geometric morphing algorithm for polygons based on a simple geometric structure called direction map, which is mainly composed of a circular list of direction vectors defined by two neighboring vertices of a polygon. To generate a sequence of intermediate morphing shapes, first we merge direction maps of given control shapes based on a certain ordering rule of direction vectors, and scale the length of each direction vectors using Bezier or blossom controls. We show that the proposed algorithm is an improvement of the previous methods based on Minkowski sum (or convolution) in th aspects of computational efficiency and geometric properties.

Multifrequency Imaging of Radar Turntable by Phase and Amplitude Measurement (다주파수 신호를 사용한 회전물체의 위상과 진폭측정에 의한 영상)

  • Suh, Kyoung-Whoan;Lee, Kyoung-Soo;Kim, Se-Youn;Ra, Jung-Woong
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.392-397
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    • 1987
  • This paper concerns a method for micro-wave imaging. The image reconstruction of a perfect conducting cylinder by phase and amplitude measurement using the X-Band multifrequency is presented troll the simulated data. The high degree of range resolution is achieved using large signal band-width and cross-range resolution is obtained by doppler processing. The comparison of image reconstruction between range doppler processing and circular convolution algorithm is also shown.

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Design of Tapered Line with Improved Chebyshev Function Removed Discontinuities (Chebyshev 함수에 의한 테이퍼형 선로의 설계에서 임피던스 불연속 제거에 관한 연구)

  • 이종빈;이상호;김상태;신철재
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.8 no.6
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    • pp.620-628
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    • 1997
  • When the Chebyshev function is applied to design the waveguide transition, it exhibits poor impedance matching characteristics due to impedance discontinuities at the ends of tapered line. In this paper, an improved Chebyshev function, which is obtained by using the convolution property, is proposed to make improvements on the impedance matching characteristics of the waveguide transition. When rectangular to circular waveguide transition is designed by improved function, then the computed return loss is approximately 5 dB better than the conventional Chebyshev function.

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Directive Spectrum Analyzing System Using a Linear Hydrophone Array (직선배열 hydrophone에 의한 수중음원의 분석)

  • CHANG Jee-Won;JEONG Jung-Hyun;SUR Doo-Og
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.14 no.4
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    • pp.265-268
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    • 1981
  • The direction and spectra of underwater sound wave were a remarkable contrast to the sound wave in the air because of the difference of transmissive medium. The linear hydrophone array of passive system has so far been applied to find out the direction and spectra of underwater sound wave from the sources for many purposes. The conventional methods are generally classified into two systems such as, the system which varying frequency responses, other parameters and pattern of signal like an adaptive array controlled by internal feedback, and another system which obtaining maximum of S/N ratio by giving a appropriate delay and a weighting coefficient in the output of each hydrophone. The array device of passive system can easily change the amplitude and the phase of signal by separately controlled hydrophone. And here we introduce a method that the spectral analyzing and the direction finding can be simultaneously carried out using a linear array of hydrophones. By making a circular convolution of output of signal from each hydrophone with appropriate rectangular weighting coefficient on the array, a sharp response of single lobe directivity and the spectral analyzing by time averaging were simultaneously obtained. In tile computer simulation of the array system with the length of 250cm and the interhydrophone distance of l0cm the power levels of sound signals received from given array direction were 16dB higher than those from the other directions when processing with rectangular weightings, and 8dB higher when processing with rectangular sound signals and rectangular weightings.

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Non-synchronized Sampling Techniques for DMT-based xDSL Modems (DMT 기반의 xDSL 모뎀의 비동기식 샘플링 방식)

  • 이미현;김재권;백종호;유영환;조진웅;조용수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.12B
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    • pp.2141-2153
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    • 2000
  • 본 논문에서는 DMT 기반의 xDSL 시스템의 수신단에서 발생하는 샘플링 위상 옵셋과 샘플링 주파수 옵셋에 의한 타이밍 오류를 분석한 후, 디지털 수신기에서 이를 보상하기 위한 비동기식 샘플링(full digital PLL) 방식을 제안한다. 기존의 논문에서는 DMT 방식의 xDSL 시스템에서 샘플링 위상 옵셋을 delay-rotor 특성을 이용한 주파수영역 위상 회전기로 보상하는 비동기식 샘플링 방식을 제안한 바 있다. 그러나 수신단에서 샘플링 시 존재하는 타이밍 오류로 인해 저역통과 필터링된 수신신호는 더 이상 delay-rotor 특성이 성립하지 않아 성능이 크게 저하된다. 본 논문에서는 샘플링 위상 옵셋을 완벽하게 보상할 수 있는 데이터 구간의 환형 컨벌루션화(circular convolution) 방식을 제안한다. 또한 샘플링 위상 옵셋과 샘플링 주파수 옵셋이 동시에 존재하는 경우 이를 보상할 수 있는 개선된 시간/주파수 혼성영역 보상방식을 제안한다. 또한 추가의 오버헤드를 사용하지 않고 샘플링 위상 옵셋과 샘플링 주파수 옵셋을 보상할 수 있는 시간영역 보상방식을 제안한다. 마지막으로 DMT 방식의 ADSL 시스템에 본 논문에서 제안된 비동기식 샘플링 방식들을 적용하여 모의실험을 통해 성능을 분석하고 기존의 방식과 비교하여 성능의 우수성을 확인한다.

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Correction for SPECT image distortion by non-circular detection orbits (비원형 궤도에서의 검출에 의한 SPECT 영상 왜곡 보정)

  • Lee, Nam-Yong
    • Journal of the Institute of Convergence Signal Processing
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    • v.8 no.3
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    • pp.156-162
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    • 2007
  • The parallel beam SPECT system acquires projection data by using collimators in conjunction with photon detectors. The projection data of the parallel beam SPECT system is, however, blurred by the point response function of the collimator that is used to define the range of directions where photons can be detected. By increasing the number of parallel holes per unit area in collimator, one can reduce such blurring effect. This approach also, however, has the blurring problem if the distance between the object and the collimator becomes large. In this paper we consider correction methods for artifacts caused by non-circular orbit of parallel beam SPECT with many parallel holes per detector cell. To do so, we model the relationship between the object and its projection data as a linear system, and propose an iterative reconstruction method including artifacts correction. We compute the projector and the backprojector, which are required in iterative method, as a sum of convolutions with distance-dependent point response functions instead of matrix form, where those functions are analytically computed from a single function. By doing so, we dramatically reduce the computation time and memory required for the generation of the projector and the backprojector. We conducted several simulation studies to compare the performance of the proposed method with that of conventional Fourier method. The result shows that the proposed method outperforms Fourier methods objectively and subjectively.

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