• Title/Summary/Keyword: Orthogonal set

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

  • Kim, Eun-Hee;Yeo, Gi-Dae
    • Proceedings of the Korean Information Science Society Conference
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    • 2005.07b
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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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DARBOUX TRANSFORMS AND ORTHOGONAL POLYNOMIALS

  • Yoon, Gang-Joon
    • Bulletin of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.359-376
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    • 2002
  • We give a new interpretation of Darboux transforms in the context of orthogonal polynomials and find conditions in or-der for any Darboux transform to yield a new set of orthogonal polynomials. We also discuss connections between Darboux trans-forms and factorization of linear differential operators which have orthogonal polynomial eigenfunctions.

On the Design of Orthogonal Pulse-Shape Modulation for UWB Systems Using Hermite Pulses

  • Giuseppe, Thadeu Freitas de Abreu;Mitchell, Craig-John;Kohno, Ryuji
    • Journal of Communications and Networks
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    • v.5 no.4
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    • pp.328-343
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    • 2003
  • Orthogonal pulse-shape modulation using Hermite pulses for ultra-wideband communications is reviewed. Closedform expressions of cross-correlations among Hermite pulses and their corresponding transmit and receive waveforms are provided. These show that the pulses lose orthogonality at the receiver in the presence of differentiating antennas. Using these expressions, an algebraic model is established based on the projections of distorted receive waveforms onto the orthonormal basis given by the set of normalized orthogonal Hermite pulses. Using this new matrix model, a number of pulse-shape modulation schemes are analyzed and a novel orthogonal design is proposed. In the proposed orthogonal design, transmit waveforms are constructed as combinations of elementary Hermites with weighting coefficients derived by employing the Gram-Schmidt (QR) factorization of the differentiating distortion model’s matrix. The design ensures orthogonality of the vectors at the output of the receiver bank of correlators, without requiring compensation for the distortion introduced by the antennas. In addition, a new set of elementary Hermite Pulses is proposed which further enhances the performance of the new design while enabling a simplified hardware implementation.

Hybrid Linear Analysis Based on the Net Analyte Signal in Spectral Response with Orthogonal Signal Correction

  • Park, Kwang-Su;Jun, Chi-Hyuck
    • Near Infrared Analysis
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    • v.1 no.2
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    • pp.1-8
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    • 2000
  • Using the net analyte signal, hybrid linear analysis was proposed to predict chemical concentration. In this paper, we select a sample from training set and apply orthogonal signal correction to obtain an improved pseudo unit spectrum for hybrid least analysis. using the mean spectrum of a calibration training set, we first show the calibration by hybrid least analysis is effective to the prediction of not only chemical concentrations but also physical property variables. Then, a pseudo unit spectrum from a training set is also tested with and without orthogonal signal correction. We use two data sets, one including five chemical concentrations and the other including ten physical property variables, to compare the performance of partial least squares and modified hybrid least analysis calibration methods. The results show that the hybrid least analysis with a selected training spectrum instead of well-measured pure spectrum still gives good performances, which is a little better than partial least squares.

Full-Diversity High-Rate STBC for 2 and 4 Transmitted Antennas (2,4개 전송 안테나를 위한 완전 다이버시티 고 부호율 STBC)

  • Yan, Yier;Lee, Moon-Ho;Ma, Yizhou
    • Proceedings of the KIEE Conference
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    • 2007.04a
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    • pp.295-297
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    • 2007
  • We design a new rate-3/2 full-diversity orthogonal space-time block code (STBC) for QPSK and 2 transmit antennas (TX) and 4 transmit antennas (TX) by enlarging the signalling set from the set of quaternions used in the Alamouti[I] and extendedcode and using additional members of the set of orthogonal matrices or Quasi-orthogonal matrices and higher than rate-5/4. Selective power scaling of information symbols is used to guarantee full-diversity while maximizing the coding gain (CG) and minimizing the transmitted signal peak-to-minimum power ratio (PMPR). The optimum power scaling factor is derived analytically and shown to outpetform schemes based only on constellation rotation while still enjoying a low-complexity maximum likelihood (ML) decoding algorithm.

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Probabilistic Exclusion Based Orthogonal Matching Pursuit Algorithm for Sparse Signal Reconstruction (희소 신호의 복원을 위한 확률적 배제 기반의 직교 정합 추구 알고리듬)

  • Kim, Seehyun
    • Journal of IKEEE
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    • v.17 no.3
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    • pp.339-345
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    • 2013
  • In this paper, the probabilistic exclusion based orthogonal matching pursuit (PEOMP) algorithm for the sparse signal reconstruction is proposed. Some of recent greedy algorithms such as CoSaMP, gOMP, BAOMP improved the reconstruction performance by deleting unsuitable atoms at each iteration. They still often fail to converge to the solution because the support set could not escape from a local minimum. PEOMP helps to escape by excluding a random atom in the support set according to a well-chosen probability function. Experimental results show that PEOMP outperforms several OMP based algorithms and the $l_1$ optimization method in terms of exact reconstruction probability.

APPLICATION AND FIXED POINT THEOREMS FOR ORTHOGONAL GENERALIZED F-CONTRACTION MAPPINGS ON O-COMPLETE METRIC SPACE

  • Mani, Gunaseelan;Prakasam, A. Leema Maria;Mishra, Lakshmi Narayan;Mishra, Vishnu Narayan
    • Nonlinear Functional Analysis and Applications
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    • v.26 no.5
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    • pp.903-915
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    • 2021
  • In this paper, we introduce the concepts of an orthogonal generalized F-contraction mapping and prove some fixed point theorems for a self mapping in an orthogonal metric space. The given results are generalization and extension some of the well-known results in the literature. An example to support our result is presented.

M-ary Bi-orthogonal Modulation UWB with Narrowband Interference Suppression Capability

  • Zhang, Wei-Hua;Shen, Han-Bing;Joo, Jong-Ok;Kwak, Kyung-Sup
    • ETRI Journal
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    • v.30 no.1
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    • pp.161-163
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    • 2008
  • An M-ary bi-orthogonal modulation scheme for ultra-wideband (UWB) systems capable of narrowband interference (NBI) suppression is proposed in this letter. We utilize a set of bi-orthogonal pulse series to achieve NBI suppression. Through analysis and simulation, we verify that the proposed scheme can suppress NBIs effectively.

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Joint Optimization of User Set Selection and Transmit Power Allocation for Orthogonal Random Beamforming in Multiuser MIMO Systems

  • Kang, Tae-Sung;Seo, Bangwon
    • ETRI Journal
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    • v.34 no.6
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    • pp.879-884
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    • 2012
  • When the number of users is finite, the performance improvement of the orthogonal random beamforming (ORBF) scheme is limited in high signal-to-noise ratio regions. In this paper, to improve the performance of the ORBF scheme, the user set and transmit power allocation are jointly determined to maximize sum rate under the total transmit power constraint. First, the transmit power allocation problem is expressed as a function of a given user set. Based on this expression, the optimal user set with the maximum sum rate is determined. The suboptimal procedure is also presented to reduce the computational complexity, which separates the user set selection procedure and transmit power allocation procedure.