• 제목/요약/키워드: Summation

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The study of AC source measurement algorithm using Digital System (디지털시스템을 이용한 교류 전원 계측 알고리즘에 관한 연구)

  • Seo, Yong-Won;Kim, Yun-Seo;Yang, O
    • Proceedings of the KIEE Conference
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    • 2003.11c
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    • pp.979-982
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    • 2003
  • 본 논문은 단상 또는 3상의 AC 전원의 전류나 전압 또는 전력을 계측하기 위해 Analog Signal들을 Digital Signal로 변환하여 특정 Algorithm의 연산을 수행하여 결과를 얻는 과정을 Microprocessor를 이용하여 처리하는 방법은 산업현장이나 연구개발에서 흔히 사용하는 방법이다. 본 논문에서는 Microprocessor를 이용하여 보편화된 3가지의 계측 Algorithm인 DFT, True RMS, Summation Algorithm을 사용하여 동일 System에 3상 AC의 전류 부하를 일정 범위에서 가변 하여 인가시키면서 계측 값을 사용하여 Algorithm의 계측 결과의 오차율과 연산에 소요되는 시간과 외부 잡음인 Surge, Impulse, 정전기, 방파, 고조파에 대한 System의 처리 효율을 연구 하였다.

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CERTAIN IDENTITIES ASSOCIATED WITH GENERALIZED HYPERGEOMETRIC SERIES AND BINOMIAL COEFFICIENTS

  • Lee, Keum-Sik;Cho, Young-Joon;Choi, June-Sang
    • The Pure and Applied Mathematics
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    • v.8 no.2
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    • pp.127-135
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    • 2001
  • The main object of this paper is to present a transformation formula for a finite series involving $_3F_2$ and some identities associated with the binomial coefficients by making use of the theory of Legendre polynomials $P_{n}$(x) and some summation theorems for hypergeometric functions $_pF_q$. Some integral formulas are also considered.

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An Identity Involving Product of Generalized Hypergeometric Series 2F2

  • Kim, Yong Sup;Choi, Junesang;Rathie, Arjun Kumar
    • Kyungpook Mathematical Journal
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    • v.59 no.2
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    • pp.293-299
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    • 2019
  • A number of identities associated with the product of generalized hypergeometric series have been investigated. In this paper, we aim to establish an identity involving the product of the generalized hypergeometric series $_2F_2$. We do this using the generalized Kummer-type II transformation due to Rathie and Pogany and another identity due to Bailey. The result presented here, being general, can be reduced to a number of relatively simple identities involving the product of generalized hypergeometric series, some of which are observed to correspond to known ones.

SUMMABILITY IN MUSIELAK-ORLICZ HARDY SPACES

  • Jun Liu;Haonan Xia
    • Journal of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.1057-1072
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    • 2023
  • Let 𝜑 : ℝn × [0, ∞) → [0, ∞) be a growth function and H𝜑(ℝn) the Musielak-Orlicz Hardy space defined via the non-tangential grand maximal function. A general summability method, the so-called 𝜃-summability is considered for multi-dimensional Fourier transforms in H𝜑(ℝn). Precisely, with some assumptions on 𝜃, the authors first prove that the maximal operator of the 𝜃-means is bounded from H𝜑(ℝn) to L𝜑(ℝn). As consequences, some norm and almost everywhere convergence results of the 𝜃-means, which generalizes the well-known Lebesgue's theorem, are then obtained. Finally, the corresponding conclusions of some specific summability methods, such as Bochner-Riesz, Weierstrass and Picard-Bessel summations, are also presented.

Fast LFM Target Detection Method with Robustness for Doppler Shift in Narrow-Band Sonar Systems (협대역 소나시스템에서 도플러 천이에 강인한 고속 LFM 표적 검출기법)

  • Choi, Sang-Moon;Do, Dae-Won;Kim, Woo-Sik;Lee, Dong-Hun;Kim, Hyung-Moon
    • Journal of the Institute of Electronics and Information Engineers
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    • v.51 no.8
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    • pp.114-125
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    • 2014
  • In a conventional sonar system, which uses LFM signal for detecting targets with varying speed, the results of multiple LFM Doppler correlators are aligned and the maximum alined result are selected as a test cell for detecting targets. As the number of the LFM Doppler correlators are increased for accurate target detection, as the required computational complexity and the memory are also increased. This fact makes it difficult to implement the accurate LFM target detector. In this paper, we propose a new fast target detection which is robust for the variation of target speed. Because the proposed method uses the summation of alined results of large numbers of LFM Doppler correlators, the proposed method increase SNR and provide robust SNR for the variation of target speed. And the proposed method can provide very fast target detection by implementing the process, the summation of alined results of large numbers of LFM Doppler correlators, as one summation filter.

A Comparative Performance Study of Speech Coders for Three-Way Conferencing in Digital Mobile Communication Networks (이동통신망에서 삼자회의를 위한 음성 부호화기의 성능에 관한 연구)

  • Lee, Mi-Suk;Lee, Yun-Geun;Kim, Gi-Cheol;Lee, Hwang-Su;Jo, Wi-Deok
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.1E
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    • pp.30-38
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    • 1995
  • In this paper, we evaluated the performance of vocoders for three-way conferencing using signal summation technique in digital mobile communication network. The signal summation technique yields natural mode of three-way conferencing, in shich the mixed voice signal from two speakers are transmitted to a third person, though there has been no useful speech coding technique for the mixed voice signal yet. We established Qualcomm code term prediction (RPE-LTP) vocoders to provide three-way conferencing using signal summation techinique. In addition, as the conventional speech quality measures are not applicable to the vocoders for mixed voice signals, we proposed two kinds of subjective quality measures. These are the sentence discrimination (SD) test and the modified degraded mean opinion score (MDMOS) test. The experimental results show that the output speech quality of the VSELP vocoder is superior to other two.

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Region-based Spectral Correlation Estimator for Color Image Coding (컬러 영상 부호화를 위한 영역 기반 스펙트럴 상관 추정기)

  • Kwak, Noyoon
    • Journal of Digital Contents Society
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    • v.17 no.6
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    • pp.593-601
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    • 2016
  • This paper is related to the Region-based Spectral Correlation Estimation(RSCE) coding method that makes it possible to achieve the high-compression ratio by estimating color component images from luminance image. The proposed method is composed of three steps. First, Y/C bit-plane summation image is defined using normalized chrominance summation image and luminance image, and then the Y/C bit-plane summation image is segmented for extracting the shape information of the regions. Secondly, the scale factor and the offset factor minimizing the approximation square errors between luminance image and R, B images by the each region are calculated. Finally, the scale factor and the offset factor for the each region are encoded into bit stream. Referring to the results of computer simulation, the proposed method provides more than two or three times higher compression ratio than JPEG/Baseline or JPEG2000/EBCOT algorithm in terms of bpp needed for encoding two color component images with the same PSNR.

Modal Analysis and Experiment of a Simply-supported Beam with Non-uniform Cross Sections (불균일 단면을 갖는 단순지지 보의 모달해석 및 실험)

  • Kim, In-Woo;Ryu, Bong-Jo;Kim, Youngshik
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.12
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    • pp.8654-8664
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    • 2015
  • Beam-type structures with non-uniform cross sections are widely used in mechanical, architectural, and civil engineering fields. This paper deals with dynamic characteristics and vibration problems. Governing equations are first derived by using local coordinates. Their solutions are then assumed by using Galerkin's mode summation method. Bisection method is also applied in solving the determinant of the matrix which can provide natural frequencies. Whereas finite element methods adopt admissible functions satisfying only geometric boundary condition, in this study we apply Galerkin's mode summation method which uses eigen-functions satisfying both governing equations and boundary conditions. Modal analysis and experimental tests are finally performed using simply-supported beams with four different non-uniform cross-sections. Our analytical results then show good agreement with experimental ones.

Spatial Attention Can Enhance or Impair Visual Temporal Resolution (공간 주의가 시각적 시간 해상도에 미치는 영향)

  • Baek, Jong-Soo;Kham, Kee-Taek;Kim, Min-Shik
    • Korean Journal of Cognitive Science
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    • v.18 no.3
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    • pp.285-303
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    • 2007
  • Transient attention impairs observers' temporal resolution in a cued location. This detrimental effect of attention was ascribed to inhibitory connections from parvocellular to magnocellular neurons [1]. Alternatively, the difficulty might arise because attention facilitates the temporal summation of two successive stimuli. The current study examined this hypothesis by manipulating the luminance polarity of the stimuli against a background. Attention should not modulate temporal summation of two anti-polar stimuli because these are processed in separate channels. Indeed, observers judged the temporal order of two successive stimuli better in the cued location than in the uncued location when the stimuli were opposite in polarity, but temporal resolution was worse in the cued location when the stimuli had the same polarity. Thus, attentional effects on temporal resolution may be attributed to temporal summation rather than parvocellular inhibition of magnocellular activity.

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Total System Error Analysis for Corridor derivation of Hybrid VTOL through Flight Test (비행시험을 통한 복합형 수직이착륙 무인항공기의 회랑 산출을 위한 통합시스템오차 분석)

  • Jeong-min Kim;Song-geun Eom;Jeong-hwan Oh;Dong-jin Lee;Do-yoon Kim;Sang-hyuck Han
    • Journal of Advanced Navigation Technology
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    • v.26 no.6
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    • pp.448-455
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    • 2022
  • In this study, when establishing a UTM(UAS Traffic Management) system, a corridor must be set to separate the flight distance between unmanned aerial vehicles, and the size of the corridor was calculated in consideration of TSE(Total System Error). The flight data of the straight section and the turning section were collected using a hybrid vertical take-off and landing unmanned aerial vehicle. The flight data were derived from the TSE using the SQSM(Scalar Quantity Summation Method) method, and the impact on the straight and turning sections was analyzed by calculating in detail by NSE(Navigation System Error) and FTE(Flight Technical Error). The corridor size was calculated by referring to the TSE analysis results and PBN (Performance-based Navigation) manual.