• 제목/요약/키워드: dirac-delta functions

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Euclidian Distance Minimization of Probability Density Functions for Blind Equalization

  • Kim, Nam-Yong
    • Journal of Communications and Networks
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    • 제12권5호
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    • pp.399-405
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    • 2010
  • Blind equalization techniques have been used in broadcast and multipoint communications. In this paper, two criteria of minimizing Euclidian distance between two probability density functions (PDFs) for adaptive blind equalizers are presented. For PDF calculation, Parzen window estimator is used. One criterion is to use a set of randomly generated desired symbols at the receiver so that PDF of the generated symbols matches that of the transmitted symbols. The second method is to use a set of Dirac delta functions in place of the PDF of the transmitted symbols. From the simulation results, the proposed methods significantly outperform the constant modulus algorithm in multipath channel environments.

상호 정보 포텐셜과 델타함수를 이용한 블라인드 알고리듬의 복잡도 개선 (Complexity Reduction of Blind Algorithms based on Cross-Information Potential and Delta Functions)

  • 김남용
    • 인터넷정보학회논문지
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    • 제15권3호
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    • pp.71-77
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    • 2014
  • 상호정보 포텐셜과 델타 함수열 (cross-information potential and Dirac-delta functions, CIPD) 을 이용한 Equalizer 알고리듬이 충격성 잡음 하에서도 채널의 ISI 제거 성능이 우수한 반면, 블록 처리 방식으로 가중치 갱신을 행하고 있어서 계산량이 많다는 단점을 갖고 있다. 이 논문에서는 CIPD 알고리듬의 계산량을 크게 줄일 수 있는 방법으로서 매 샘플 시간마다 수행하는 CIPD 알고리듬의 이중 합산을 단일 합산으로 바꿀 수 있는 방법을 제시하였다. 실험 결과에서 제안된 방식은 기존 CIPD 알고리듬과 동일한 기울기 학습 곡선을 나타냈다. 또한 충격성 잡음 상황에서도 기존 방식이 블록처리 데이터 수에 비례하는 계산량을 나타낸 반면 제안된 방식은 이와 관계없이 더 작은 계산량을 유지하면서 CIPD 알고리듬과 동일한 기울기 값을 산출해낸다.

Blind Signal Processing for Impulsive Noise Channels

  • Kim, Nam-Yong;Byun, Hyung-Gi;You, Young-Hwan;Kwon, Ki-Hyeon
    • Journal of Communications and Networks
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    • 제14권1호
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    • pp.27-33
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    • 2012
  • In this paper, a new blind signal processing scheme for equalization in fading and impulsive-noise channel environments is introduced based on probability density functionmatching method and a set of Dirac-delta functions. Gaussian kernel of the proposed blind algorithm has the effect of cutting out the outliers on the difference between the desired level values and impulse-infected outputs. And also the proposed algorithm has relatively less sensitivity to channel eigenvalue ratio and has reduced computational complexity compared to the recently introduced correntropy algorithm. According to these characteristics, simulation results show that the proposed blind algorithm produces superior performance in multi-path communication channels corrupted with impulsive noise.

Two-Dimensional Probability Functions of Morphological Dilation and Erosion of a Memoryless Source

  • Sangsin Na;Park, Tae-Young
    • Journal of Electrical Engineering and information Science
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    • 제1권1호
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    • pp.151-155
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    • 1996
  • This paper derives the two-dimensional probability distribution and density functions of morphological dilation and erosion of a one-dimensional memoryless source and reports numerical results for a uniform source, thus providing methodology for joint distributions for other morphological operations. The joint density functions expressed in closed forms contain the Dirac delta functions due to the joint discontinuity within the dilation and erosion. They also exhibit symmetry between these two morphological density functions of dilated and/or eroded sources, in the computation of other higher moments thereof, and in multidimensional quantization.

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비-가우시안 잡음하의 통신을 위한 바이어스된 오차 분포의 유클리드 거리 (Euclidean Distance of Biased Error Probability for Communication in Non-Gaussian Noise)

  • 김남용
    • 한국산학기술학회논문지
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    • 제14권3호
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    • pp.1416-1421
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    • 2013
  • 비-가우시안 잡음 환경의 적응 시스템을 위해, 평행 이동한 오차 분포와 오차 0에 위치한 델타 함수 사이의 유클리드 거리를 새로운 성능기준으로 제안하였다. 또한, 이 성능 기준에 근거하여 적응 알고리듬을 개발하였고, 얕은 바다에서 구한 수중 통신 다경로 채널에 충격성 잡음과 직류 바이어스 잡음이 더해진 환경으로 등화 성능을 시뮬레이션한 결과, 제안한 알고리듬이 기존의 MEDE 알고리듬 보다 5 dB 이상 향상된 MSE 성능을 보이며 오차 분포의 중심 위치가 정확히 0에 위치하였다.

Influence of impulsive line source and non-homogeneity on the propagation of SH-wave in an isotropic medium

  • Kakar, Rajneesh
    • Interaction and multiscale mechanics
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    • 제6권3호
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    • pp.287-300
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    • 2013
  • In this paper, the effect of impulsive line on the propagation of shear waves in non-homogeneous elastic layer is investigated. The rigidity and density in the intermediate layer is assumed to vary quadratic as functions of depth. The dispersion equation is obtained by using the Fourier transform and Green's function technique. The study ends with the mathematical calculations for transmitted wave in the layer. These equations are in complete agreement with the classical results when the non-homogeneity parameters are neglected. Various curves are plotted to show the effects of non-homogeneities on shear waves in the intermediate layer.

Balanced Information Potentials for PDF-Distance Algorithms with Constant Modulus Error

  • 김남용
    • 한국정보전자통신기술학회논문지
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    • 제4권4호
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    • pp.295-299
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    • 2011
  • Blind equalization techniques have been widely used in wireless communication systems. In this paper, we propose to apply the balanced information potentials to the criterion of minimum Euclidian distance between two PDFs with constant modulus errors for adaptive blind equalizers. One of the two PDFs is constructed with constant modulus error samples and another does with Dirac delta functions. Two information potentials derived from the criterion are balanced in order to have better performance by putting a weighting factor to each information potentials. The proposed blind algorithm has shown in the MSE convergence performance that it can produce enhanced performance by over 3 dB of steady state MSE.

심볼점 평행이동 기능을 지닌 정보 포텐셜과 블라인드 등화 알고리듬 (Information Potential with Shifted Symbol Points and Related Blind Equalizer Algorithms)

  • 김남용
    • 전자공학회논문지
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    • 제50권2호
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    • pp.3-10
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    • 2013
  • 이 논문에서는 바이어스된 충격성 잡음에 취약한 문제점을 해결하기 위해, 디락 델타함수를 기반으로 만들어진 정보 포텐셜을 수정하여 송신 심볼점을 평행 이동시킬 수 있는 정보 포텐셜을 제안하고, 이 제안된 정보 포텐셜과 증강된 필터 구조에 기반하여 새로운 블라인드 알고리듬을 도출하였다. 시뮬레이션 결과로 부터, 기존의 알고리듬은 바이어스된 충격성 잡음하에서 15 dB 정도 성능 저하를 나타내는 반면 제안된 알고리듬은 채널의 열악 정도에 관계없이 바이어스된 충격성 잡음의 유입에 성능 저하를 보이지 않으며 초기 수렴의 정상상태 MSE 값인 -25 dB 이하를 그대로 유지하였다.

Critical earthquake input energy to connected building structures using impulse input

  • Fukumoto, Yoshiyuki;Takewaki, Izuru
    • Earthquakes and Structures
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    • 제9권6호
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    • pp.1133-1152
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    • 2015
  • A frequency-domain method is developed for evaluating the earthquake input energy to two building structures connected by viscous dampers. It is shown that the earthquake input energies to respective building structures and viscous connecting dampers can be defined as works done by the boundary forces between the subsystems on their corresponding displacements. It is demonstrated that the proposed energy transfer function is very useful for clear understanding of dependence of energy consumption ratios in respective buildings and connecting viscous dampers on their properties. It can be shown that the area of the energy transfer function for the total system is constant regardless of natural period and damping ratio because the constant Fourier amplitude of the input acceleration, relating directly the area of the energy transfer function to the input energy, indicates the Dirac delta function and only an initial velocity (kinetic energy) is given in this case. Owing to the constant area property of the energy transfer functions, the total input energy to the overall system including both buildings and connecting viscous dampers is approximately constant regardless of the quantity of connecting viscous dampers. This property leads to an advantageous feature that, if the energy consumption in the connecting viscous dampers increases, the input energies to the buildings can be reduced drastically. For the worst case analysis, critical excitation problems with respect to the impulse interval for double impulse (simplification of pulse-type impulsive ground motion) and multiple impulses (simplification of long-duration ground motion) are considered and their solutions are provided.