• 제목/요약/키워드: dual basis

검색결과 250건 처리시간 0.026초

A NUMBER SYSTEM IN ℝn

  • Jeong, Eui-Chai
    • 대한수학회지
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    • 제41권6호
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    • pp.945-955
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    • 2004
  • In this paper, we establish a number system in $R^n$ which arises from a Haar wavelet basis in connection with decompositions of certain Cuntz algebra representations on $L^2$( $R^n$). Number systems in $R^n$ are also of independent interest [9]. We study radix-representations of $\chi$ $\in$ $R^n$: $\chi$:$\alpha$$_{ι}$ $\alpha$$_{ι-1}$$\alpha$$_1$$\alpha$$_{0}$$\alpha$$_{-1}$ $\alpha$$_{-2}$ … as $\chi$= $M^{ι}$$\alpha$$_{ι}$ $\alpha$+…M$\alpha$$_1$$\alpha$$_{0}$$M^{-1}$ $\alpha$$_{-1}$$M^{-2}$ $\alpha$$_{-2}$ +… where each $\alpha$$_{k}$ $\in$ D, and D is some specified digit set. Our analysis uses iteration techniques of a number-theoretic flavor. The view-point is a dual one which we term fractals in the large vs. fractals in the small,illustrating the number theory of integral lattice points vs. fractions.s vs. fractions.

이중 마이크로폰을 이용한 비음수 행렬분해 기반 다중음원 도래각 예측 (Nonnegative Matrix Factorization Based Direction-of-Arrival Estimation of Multiple Sound Sources Using Dual Microphone Array)

  • 전광명;김홍국;유승우
    • 전자공학회논문지
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    • 제54권2호
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    • pp.123-129
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    • 2017
  • 본 논문에서는 이중 마이크로폰 배열을 이용하여 비음수 행렬분해(nonnegative matrix factorization, NMF) 기반으로 다중음원의 도래각을 추정하는 새로운 방법을 제안한다. 우선 이중 마이크로폰 배열에 들어온 음향 신호들을 연속된 분석프레임으로 분할한 후, 각 프레임에 대해 조향응답파워 위상변환(steered-response power phase transform, SRP-PHAT) 빔형성기를 적용하여 스테레오 신호들을 시간-방향 영역으로 표현한다. 이러한 SRP-PHAT의 시간-방향 출력값들은 사전에 정의된 프레임 수만큼 누적하여 시간-방향 블록으로 정의한다. 다음으로, 잡음에 강건한 도래각 추정을 위하여, 각 시간-방향 블록을 블록차감 기법을 사용하여 매 프레임에 대해 정규화한다. 이후, 다중음원 환경에서 각 음원의 방향을 클러스터링하기 위해 정규화된 시간-방향 블록에 비지도(unsupervised) NMF를 적용한다. 구체적으로, 음원의 개수와 이들의 도래각을 추정하는데 각각 활성 및 기저 행렬들을 사용한다. 제안된 방법의 도래각 추정 성능을 평가하기 위해 이중 마이크로폰 배열로부터 입력된 [$-35{\circ}$, 5m], [$12{\circ}$, 4m], 그리고 [$38{\circ}$, 4.m]에 각각 위치한 세 가지 음원들에 대한 추정 오차의 절대 평균(mean absolute error, MAE) 및 오차의 표준편차를 측정하였다. 실험 결과. 제안된 방법은 기존의 SRP-PHAT 기반 도래각 추정방법에 비해 상대적으로 MAE를 56.83% 줄일 수 있었다.

4.7 GHz 대역에서 동작하는 이중 선형편파 적층 안테나의 설계 및 제작 (Design and Fabrication of Dual Linear Polarization Stack Antenna for 4.7GHz Frequency Band)

  • 윤중한;유찬세
    • 한국전자통신학회논문지
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    • 제18권2호
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    • pp.251-258
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    • 2023
  • 본 논문에서는 특화망에 적용 가능한 DLP(Dual Linear Polarization) 적층 안테나를 제안하였다. 제안된 안테나는 일반적인 적층구조를 갖고 최대이득을 얻을 수 있도록 공기 갭을 갖도록 설계하였다. 격리도를 개선하기 위해서 두 개의 급전포트를 각 층으로 분리하여 설계하였다. 각각 패치의 크기는 하위층, 17.80 mm×16.70 mm(W1×L1) 그리고 상위층 18.56 mm×18.73 mm(W2×L2)이며 적층 안테나의 전체 크기는 40.0 mm(W)×40.0 mm(L)이며, 모두 두께(h) 1.6 mm, 그리고 비유전율이 4.4인 FR-4 기판을 사용하였다. 제작 및 측정결과로부터, -10 dB 반사손실을 기준으로 입력포트 1에서 100.0 MHz (4.74~4.84 GHz), 입력포트 2에서 150.0 MHz (4.67~4.82 GHz)의 대역폭을 얻었으며 전달계수 S21은 -20 dB 이하의 값을 얻었다. 또한 각 급전포트에서의 편파분리도를 얻었다.

압축 센싱을 이용한 주파수 영역의 초음파 감쇠 지수 예측 (Estimation of Ultrasonic Attenuation Coefficients in the Frequency Domain using Compressed Sensing)

  • 심재윤;김형석
    • 전자공학회논문지
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    • 제53권6호
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    • pp.167-173
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    • 2016
  • 압축 센싱은 기존의 섀넌/나이키스트 이론보다 낮은 샘플링률로 신호를 샘플링 하여도 원신호로 복원할 수 있다는 이론이다. 본 논문에서는 압축 센싱을 이용하여 반향 신호의 정량적 주파수 특성을 직접 추출하여 이를 이용한 초음파 감쇠 지수 예측 방법을 제안한다. 일반적인 초음파 감쇠 지수 예측 방법들은 시간 영역에서 수집된 반향 신호를 Fourier 변환 등을 통해 주파수 영역으로 변환하는데, 제안하는 예측 방법은 압축 센싱으로 수집된 데이터를 복원하는 과정에서 적용하는 basis 행렬을 이용하여 시간 영역으로의 완전한 신호 복원 없이 반향 신호의 주파수 특성을 직접 추출하여 감쇠 지수를 예측한다. 3가지의 basis 행렬을 통해 주파수 영역에서 복원된 반향 신호에 대하여 다중 참조 신호를 이용한 Centroid Downshift 방법으로 감쇠 지수를 예측하여 각각의 예측 정확도와 실행 시간을 비교 분석하였다. 컴퓨터 모의 실험 결과 이산 코사인 변환(DCT) 행렬을 적용하는 경우, 50%의 압축률에서는 압축 센싱을 적용하지 않은 경우와 0.35% 이내의 예측 정확도를 보였으며, 압축률을 70%까지 높이는 경우에도 약 6% 이내의 평균 예측 오차를 보였다. 제안한 압축 센싱을 적용한 반향 신호의 주파수 특성 추출 방법은 향후 주파수 영역의 다른 정량적 초음파 분석 방법에 적용할 수 있다.

Development of Induction Heater Hot Water System using New Active Clamping Quasi Resonant ZVS PWM Inverter

  • Kwon, Soon-Kurl;Mun, Sang-Pil
    • 조명전기설비학회논문지
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    • 제22권11호
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    • pp.23-29
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    • 2008
  • This paper presents a new conceptual electromagnetic induction eddy current based stainless steel plate spiral type heater for heat exchanger or dual packs heater in hot water system boiler steamer and super heated steamer, which is more suitable and acceptable for new generation consumer power applications. In addition, an active clamping quasi-resonant PWM high frequency inverter using trench gate IGBTs power module can operate under a principle of zero voltage soft commutation with PWM is developed and demonstrated for a high efficient induction heated hot water system and boiler in the consumer power applications. This consumer induction heater power appliance using active clamping soft switching PWM high frequency inverter is evaluated and discussed on the basis of experimental results.

능선부 산지보전 관련 제도 개선에 관한 연구 - 화성시를 사례로 - (A Study on the Improvements for the Legal Systems Related to the Coneservation of Mountain Ridge Areas - In Case of Hwasung -)

  • 최형석
    • 한국환경복원기술학회지
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    • 제12권5호
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    • pp.133-144
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    • 2009
  • This study intends to suggest the improvements for the legal systems related to the conservation of mountain ridge areas. The 4 legal systems directly related to the conservation of mountain ridge areas are reviewed and the current conditions of adaptive reuse of mountain areas and destroy cases in Hwasung are examined. For solving the problems on the basis of the analysis, three proposals for the improvement on legal systems are suggested. First, the integration of present dual legal systems related to adaptive reuse of mountain areas on the assumption that the related criteria and provisions should be amended, second, activation of the legal systems such as natural landscape district and natural landscape review to make up for the laws related to adaptive reuse of mountain areas, third, the enactment and application of the ordinances related with the 'mountain area management law'.

Material feature representation and identification with composite surfacelets

  • Huang, Wei;Wang, Yan;Rosen, David W.
    • Journal of Computational Design and Engineering
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    • 제3권4호
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    • pp.370-384
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    • 2016
  • Computer-aided materials design requires new modeling approaches to characterize and represent fine-grained geometric structures and material compositions at multiple scales. Recently, a dual-Rep approach was developed to model materials microstructures based on a new basis function, called surfacelet. As a combination of implicit surface and wavelets, surfacelets can efficiently identify and represent planar, cylindrical, and ellipsoidal geometries in material microstructures and describe the distribution of compositions and properties. In this paper, these primitive surfacelets are extended and composite surfacelets are proposed to model more complex geometries. Composite surfacelets are constructed by Boolean operations on the primitives. The surfacelet transform is applied to match geometric features in three-dimensional images. The composition of the material near the identified features can then be modeled. A cubic surfacelet and a v-joint surfacelet are developed to demonstrate the reverse engineering process of retrieving material compositions from material images.

단체법 프로그램의 효율화와 통합 (Integration and some efficient techniques of the simplex method)

  • 김우제;안재근;박순달
    • 경영과학
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    • 제11권3호
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    • pp.13-26
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    • 1994
  • In this paper we studied an integration scheme of some simplex algorithms and some efficient techniques to get the stable solution in linear programming code. And we developed a linear programming package (LPAK) by introducing this scheme and techniques. In LPAK three different algorithms were integrated, which were two primal simplex algorithms using Two phase method and big-M method respectively, and the dual simplex algorithm. LPAK introduces several heuristic techniques in each step of simplex method in order to enhance the stability and efficiency. They were new heuristic methods in structuring initial basis, choosing entering variable, choosing dropping variable and performing reinversion. The experimental results on the NETLIB problems showed that LPAK provided the stable solutions.

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Nonlinear static and dynamic behavior of reinforced concrete steel-braced frames

  • Eskandari, Reyhaneh;Vafaei, Davoud;Vafaei, Javid;Shemshadian, Mohammad Ebrahim
    • Earthquakes and Structures
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    • 제12권2호
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    • pp.191-200
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    • 2017
  • In this paper, the seismic performance of reinforced concrete braced frames (RC-BF) under far- and near-fault motions was investigated. Four-, eight-, 12- and 16-story RC-BFs were designed on the basis of a code-design method for a high risk seismic zone. Nonlinear static and dynamic analyses of the frames have been performed using OpenSees software. To consider diverse characteristics of near-fault motions, records with forward-directivity and fling-step effects were employed. From the results obtained in the analytical study it is concluded that the used design method was reasonable and the mean maximum drift of the frames under all ground motion sets were in acceptable range. For intermediate- and high-rise buildings the near-fault motions imposed higher demands than far-faults.

What Distinguishes Mathematical Experience from Other Kinds of Experience?

  • NORTON, Anderson
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제20권1호
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    • pp.11-19
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    • 2016
  • Investigating students' lived mathematical experiences presents dual challenges for the researcher. On the one hand, we must respect that students' experiences are not directly accessible to us and are likely very different from our own experiences. On the other hand, we might not want to rely upon the students' own characterizations of what constitutes mathematics because these characterizations could be limited to the formal products students learn in school. I suggest a characterization of mathematics as objectified action, which would lead the researcher to focus on students' operations-mental actions organized as objects within structures so that they can be acted upon. Teachers' and researchers' models of these operations and structures can be used as a launching point for understanding students' experiences of mathematics. Teaching experiments and clinical interviews provide a means for the teacher-researcher to infer students' available operations and structures on the basis of their physical activity (including verbalizations) and to begin harmonizing with their mathematical experience.