• 제목/요약/키워드: orthogonal

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Orthogonal Array와 Equivalence Class를 이용한 효율적인 Test Set 생성 기법 (Effective Test Set Selection Methodology using Orthogonal Array and Equivalence Class)

  • 김은희;여기대
    • 한국정보과학회:학술대회논문집
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    • 한국정보과학회 2005년도 한국컴퓨터종합학술대회 논문집 Vol.32 No.1 (B)
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    • pp.388-390
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    • 2005
  • 최근 소프트웨어 가 점 점 복잡해 짐 에 따라 다양한 상황에 대한 테스트의 중요도도 함께 증가하지만, 다양한 상황을 모두 고려하여 테스트하는 것은 많은 시간과 비용을 요구한다. 본 논문에서는 이러한 복잡한 시스템의 테스트를 위해 Orthogonal Array와 Equivalence Class 기법을 이용하여 test suite의 중복성을 낮추는 효율적인 test set을 생성하는 기법을 제안한다. 이렇게 제안된 기법을 OMA DRM(Digital Rights Management) System에 적용한 사례를 통해 기법의 우수성을 보인다.

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CONSTRUCTION FOR SELF-ORTHOGONAL CODES OVER A CERTAIN NON-CHAIN FROBENIUS RING

  • Kim, Boran
    • 대한수학회지
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    • 제59권1호
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    • pp.193-204
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    • 2022
  • We present construction methods for free self-orthogonal (self-dual or Type II) codes over ℤ4[v]/〈v2 + 2v〉 which is one of the finite commutative local non-chain Frobenius rings of order 16. By considering their Gray images on ℤ4, we give a construct method for a code over ℤ4. We have some new and optimal codes over ℤ4 with respect to the minimum Lee weight or minimum Euclidean weight.

A WORK ON INEXTENSIBLE FLOWS OF SPACE CURVES WITH RESPECT TO A NEW ORTHOGONAL FRAME IN E3

  • Alperen Kizilay;Atakan Tugkan Yakut
    • 호남수학학술지
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    • 제45권4호
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    • pp.668-677
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    • 2023
  • In this study, we bring forth a new general formula for inextensible flows of Euclidean curves as regards modified orthogonal frame (MOF) in E3. For an inextensible curve flow, we provide the necessary and sufficient conditions, which are denoted by a partial differential equality containing the curvatures and torsion.

ORTHOGONAL GENERALIZED SYMMETRIC REVERSE BIDERIVATIONS IN SEMI PRIME RINGS

  • V.S.V. KRISHNA MURTY;C. JAYA SUBBA REDDY
    • Journal of Applied and Pure Mathematics
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    • 제6권3_4호
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    • pp.155-165
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    • 2024
  • Let R be a semi-prime ring. Let [δ1, D1] and [δ2, D2] be two generalized symmetric reverse biderivations of R with associated reverse biderivations D1 and D2. The main aim of the present paper is to establish conditions of orthogonality for symmetric reverse biderivations and symmetric generalized reverse biderivations in R.

AN ITERATIVE METHOD FOR ORTHOGONAL PROJECTIONS OF GENERALIZED INVERSES

  • Srivastava, Shwetabh;Gupta, D.K.
    • Journal of applied mathematics & informatics
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    • 제32권1_2호
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    • pp.61-74
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    • 2014
  • This paper describes an iterative method for orthogonal projections $AA^+$ and $A^+A$ of an arbitrary matrix A, where $A^+$ represents the Moore-Penrose inverse. Convergence analysis along with the first and second order error estimates of the method are investigated. Three numerical examples are worked out to show the efficacy of our work. The first example is on a full rank matrix, whereas the other two are on full rank and rank deficient randomly generated matrices. The results obtained by the method are compared with those obtained by another iterative method. The performance measures in terms of mean CPU time (MCT) and the error bounds for computing orthogonal projections are listed in tables. If $Z_k$, k = 0,1,2,... represents the k-th iterate obtained by our method then the sequence of the traces {trace($Z_k$)} is a monotonically increasing sequence converging to the rank of (A). Also, the sequence of traces {trace($I-Z_k$)} is a monotonically decreasing sequence converging to the nullity of $A^*$.

Proper Orthogonal Decomposition을 이용한 공력축소모델 연구 (A Study on Aerodynamic Reduced Order Model Using Proper Orthogonal Decomposition)

  • 전상욱;박경현;강승온;이동호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2009년도 정기 학술대회
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    • pp.151-154
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    • 2009
  • 본 연구에서는 Proper Orthogonal Decomposition (POD)를 이용하여 공력축소모델을 구축하였다. 일반적으로 Euler equations과 같은 높은 정확도를 가지는 공력해석을 수행할 경우 많은 계산 비용이 발생하게 된다. 특히 공탄성 해석과 같이 수차례의 공력해석이 필요한 경우 그 비용은 더 증가하게 된다. 이러한 문제를 줄이기 위해서 축소모델(Reduced Order Model; ROM)의 개발은 반드시 필요하다. 공력축소모델을 구하는 방법 중 하나인 POD는 snapshot 데이터로부터 기저벡터를 구하고, 이들의 선형결합을 통하여 축소된 공간에서 해를 찾는 방법이다. 본 연구에서는 POD 기저벡터를 이용한 공력축소모델을 구축하고, 이를 전투기 날개문제에 적용하여 구하여진 정상상태 해와 Euler 해석 결과를 비교해 보았다. 또한 진동하는 익형문제에 적용하여 봄으로써 공탄성 해석에 적용 가능성 여부를 확인하였다.

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Bi-Orthogonal 변조를 이용한 Multi-Code CDMA 시스템의 성능 개선 (Performance Improvement of Multi-Code CDMA Systems Using Bi-Orthogonal Modulation)

  • 한재광;신요안
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 하계종합학술대회 논문집(1)
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    • pp.29-32
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    • 2000
  • In this paper, we present an extension of the multi-code CDMA (code division multiple access) systems based on bi-orthogonal modulation by employing a convolutional encoder and an interleaver before serial-to-parallel conversion in the modulator. Bandwidth expansion by the convolutional encoder can be compensated for by the bi-orthogonal modulation, and the interleaver in the system scrambles the convolutionally encoded data bits so that, after serial-to-parallel conversion, each code channel conveys those bits far apart in time. The result is that the proposed system with several order of magnitude less implementational complexity, achieves quite close performance of the conventional systems comprised of Walsh modulation and multiple convolutional encoders and interleavers in all the code channels.

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적응형 부채널 할당 방법과 M진 직교 신호화를 사용하는 MC-CDMA 시스템의 성능 분석 (Performance analysis of MC-CDMA system with Adaptive subchannel scheme and M-ary orthogonal signaling)

  • 박경숙;김항래;김남
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2000년도 추계종합학술대회 논문집(1)
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    • pp.249-252
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    • 2000
  • In this paper, the performance of a MC-CDMA system applying adaptive subchannel allocation scheme and M-ary orthogonal signaling is analyzed for forward links in Rayleigh fading channel. In the proposed system, each DS waveform is transmitted over the subchannel having the biggest fading among L subchannels. Assuming M-ary orthogonal signaling and 4 subchannels, the BER of 10$\^$-3/ is satisfied if SNRs are 7.33 ㏈, 5.33 ㏈, and 4.47 ㏈ for k=1, 2, and 3, respectively. Also, SNRs which met BER of 10$\^$-3/ are 1.42 ㏈ and 2.33 ㏈ in L=2 and L=8 as k=1 is increased to k=2. It is shown that the MC-CDMA system has performance improvement as a number of subcarriers and M-ary orthogonal signaling.

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전처리 필터를 이용한 선형 위성 LOT 기저의 설계에 관한 연구 (On the Design of the Linear Phase Lapped Orthogonal Transform Bases Using the Prefilter Approach)

  • 이창우;이상욱
    • 전자공학회논문지B
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    • 제31B권7호
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    • pp.91-100
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    • 1994
  • The lapped orthogonal transform(LOT) has been recently proposed to alleviate the blocking effects in transform coding. The LOT is known to provide an improved coding gain than the conventional transform. In this paper, we propose a prefilter approach to design the LOT bases with the view of maximizing the transform coding gain. Since the nonlinear phase basis is inappropriate to the image coding only the linear phase basis is considered in this paper. Our approach is mainly based on decomposing the transform matrix into the orthogonal matrix and the prefilter matrix. And by assuming that the input is the 1st order Markov source we design the prefilter matrix and the orthogonal matirx maximizing the transform coding gain. The computer simulation results show that the proposed LOT provides about 0.6~0.8 dB PSNR gain over the DCT and about 0.2~0.3 dB PSNR gain over the conventional LOT [7]. Also, the subjective test reveals that the proposed LOT shows less blocking effect than the DCT.

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3차원 직조형 금속복합재료의 제조와 특성분석 (Fabrication and Characterization of Al Matrix Composites Reinforced with 3-D Orthogonal Carbon Textile Preforms)

  • 이상관;변준형;홍순형
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2002년도 춘계학술발표대회 논문집
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    • pp.188-191
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    • 2002
  • 3-D orthogonal woven carbon/Al composites were fabricated using a pressure infiltration casting method. Especially, to minimize geometrical deformation of fiber pattern and $Al_4C_3$ formation, the process parameters of the minimum pressurizing force, melting temperature, delay and holding time of molten aluminum pressurizing was optimized through the PC-controlled monitoring system. Resonant ultrasound spectroscopy (RUS) was utilized to measure the effective elastic constants of 3-D orthogonal woven carbon/Al composites. The CTE measurement was conducted using strain gages in a heating oven.

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