• 제목/요약/키워드: orthogonal basis

검색결과 144건 처리시간 0.027초

최대 부호화 이득을 내는 웨이블릿 기저를 구축하기 위한 고속 알고리즘 (Fast Algorithm for Constructing Wavelet Packet Bases Yielding the Maximum Coding Gain)

  • 김원하
    • 전자공학회논문지CI
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    • 제38권2호
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    • pp.16-26
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    • 2001
  • 본 논문에서는 주어진 필터와 구현 복잡도에 대하여 최대 코딩이득을 내는 부 주파수 분활을 가진 서브밴드 부호화기를 구축하는 고속 알고리듬을 제안한다. 이를 위하여 본 논문에서는 직교 기저 및 비 직교 기저와 임의의 부 주파수 분할에 대하여 적용할 수 있는 통합적인 코딩이득의 식을 유도한 다음, 부 주파수 대역수에 대하여 코딩이득이 단순 증가 함수임을 증명한다, 이를 바탕으로 복잡도에 대하여 최대 코딩이득을 내는 최적화 된 부 주파수 분할을 찾아내기 위하여 그 단순 증가 함수를 부 주파수 대역 수에 따른 왜곡 함수로 다룬다. 이 왜곡 함수을 목적함수로 두고 Lagrange 방법에 근거하여 최적화 된 해를 고속으로 제공하는 알고리듬을 개발한다.

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Identification Using Orthonormal Functions

  • Bae, Chul-Min;Wada, Kiyoshi;Imai, Jun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.285-288
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    • 1998
  • A least-squares identification method is studied that estimates a finite number of coefficients in the series expansion of a transfer function, where the expansion is in terms of recently introduced generalized basis functions, We will expand and generalize the orthogonal functions as basis functions for dynamical system representations. To this end, use is made of balanced realizations as inner transfer functions. The orthogonal functions can be considered as generalizations of, for example, the pulse functions, Laguerre functions, and Kautz functions, and give rise to an alternative series expansion of rational transfer functions. We show that the Laplace transform of the expansion for some sets$\Psi_{\kappa}(Z)$ is equivalent to a series expansion . Techniques based on this result are presented for obtaining the coefficients $c_{n}$ as those of a series. One of their important properties is that, if chosen properly, they can substantially increase the speed of convergence of the series expansion. This leads to accurate approximate models with only a few coefficients to be estimated. The set of Kautz functions is discussed in detail and, using the power-series equivalence, the truncation error is obtained.

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탄성체 경계 트랙션을 구하는 문제에서 상호 수직 기저 함수를 사용한 역문제 해석 방법의 개발 (Development of an Inverse Method Using Orthogonal Basis Functions for the Evaluation of Boundary Tractions on an Elastic Body)

  • 김사영;김현규
    • 대한기계학회논문집A
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    • 제34권4호
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    • pp.487-493
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    • 2010
  • 대부분의 구조해석 문제는 외부에서 주어진 하중에 대한 변형과 응력에 관심을 두고 있지만 많은 경우에서 표면 또는 내부에 주어진 응력이나 트랙션을 구하는 역문제 해석이 필요하게 된다. 본 연구에서는 구하고자 하는 트랙션에서 멀리 떨어진 영역의 변위를 측정하여 미지의 트랙션을 평가하는데 유한요소법을 사용한 역문제 수식화를 적용하였다. 일반적으로 역시스템의 불안정으로 인하여 측정 변위의 작은 오차는 해석 결과에 큰 영향을 주게 된다. 이와 같은 역시스템의 불안정성을 개선하기 위하여 본 연구에서는 구하고자 하는 트랙션에 가까운 단면의 변위를 Gram-Schmidt 수직화 기법을 통한 수직기저함수 사용하여 예측하고 보다 안정된 역문제를 해석하는 방법을 개발하였고 장점들을 수치 예제를 통하여 보여주었다.

Comparative Study on Surrogate Modeling Methods for Rapid Electromagnetic Forming Analysis

  • Lee, Seungmin;Kang, Beom-Soo;Lee, Kyunghoon
    • 소성∙가공
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    • 제27권1호
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    • pp.28-36
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    • 2018
  • Electromagnetic forming is a type of high-speed forming process to deform a workpiece through a Lorentz force. As the high strain rate in an electromagnetic-forming simulation causes infeasibility in determining constitutive parameters, we employed inverse parameter estimation in the previous study. However, the inverse parameter estimation process required us to spend considerable time, which leads to an increase in computational cost. To overcome the computational obstacle, in this research, we applied two types of surrogate modeling methods and compared them to each other to evaluate which model is best for the electromagnetic-forming simulation. We exploited an artificial neural network and we reduced-order modeling methods. During the construction of a reduced-order model, we extracted orthogonal bases with proper orthogonal decomposition and predicted basis coefficients by utilizing an artificial neural network. After the construction of the surrogate models, we verified the artificial neural network and reduced-order models through training and testing samples. As a result, we determined the artificial neural network model is slightly more accurate than the reduced-order model. However, the construction of the artificial neural network model requires a considerably larger amount of time than that of the reduced-order model. Thus, a reduced order modeling method is more efficient than an artificial neural network for estimating the electromagnetic forming and for the rapid approximation of structural simulations which needs repetitive runs.

A Novel Phase Locked Loop for Grid-Connected Converters under Non-Ideal Grid Conditions

  • Yang, Long-Yue;Wang, Chong-Lin;Liu, Jian-Hua;Jia, Chen-Xi
    • Journal of Power Electronics
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    • 제15권1호
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    • pp.216-226
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    • 2015
  • Grid synchronization is one of the key techniques for the grid-connected power converters used in distributed power generation systems. In order to achieve fast and accurate grid synchronization, a new phase locked loop (PLL) is proposed on the basis of the complex filter matrixes (CFM) orthogonal signal generator (OSG) crossing-decoupling method. By combining first-order complex filters with relation matrixes of positive and negative sequence voltage components, the OSG is designed to extract specific frequency orthogonal signals. Then, the OSG mathematical model is built in the frequency-domain and time-domain to analyze the spectral characteristics. Moreover, a crossing-decoupling method is suggested to decouple the fundamental voltage. From the eigenvalue analysis point of view, the stability and dynamic performance of the new PLL method is evaluated. Meanwhile, the digital implementation method is also provided. Finally, the effectiveness of the proposed method is verified by experiments under unbalanced and distorted grid voltage conditions.

직교 시퀀스를 이용한 양자통신에서의 효율적인 신호 검출 기법 (Efficient Signal Detection Technique Using Orthogonal Sequence for Quantum Communication)

  • 김윤현;김진영
    • 한국위성정보통신학회논문지
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    • 제7권1호
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    • pp.21-26
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    • 2012
  • 우리나라는 지난 20여 년 디지털 정보기술 강국을 지향해 왔지만 선진국에서 이미 투자를 시작한 양자 정보 과학 분야에 대한 연구 및 투자는 거의 이루어지지 않았으며, 양자 정보 통신 기술의 수준 또한 개발 선진국들에 비해 턱없이 부족한 상황이다. 최근, 양자역학에 기반을 두고 있는 양자 정보 처리 및 통신에 대한 연구가 세계적으로 활발히 진행 중이다. 90년대부터 본격화된 양자정보이론의 연구는 양자 컴퓨팅, 양자 통신, 양자 정보이론 등의 분야에서 발전해오고 있으며, 90년대 말에 이르러 양자 암호 통신 및 양자 알고리즘 등의 분야에서 큰 연구 성과를 나타내기 시작하였다. 본 논문에서는, 양자 통신 시스템에서 효율적인 양자 신호 전송 및 검출을 위해 직교 시퀀스를 이용한 효율적인 양자 신호 검출 방안에 대해 논하고자 한다.

Research on Camouflaged Encryption Scheme Based on Hadamard Matrix and Ghost Imaging Algorithm

  • Leihong, Zhang;Yang, Wang;Hualong, Ye;Runchu, Xu;Dawei, Zhang
    • Current Optics and Photonics
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    • 제5권6호
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    • pp.686-698
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    • 2021
  • A camouflaged encryption scheme based on Hadamard matrix and ghost imaging is proposed. In the process of the encryption, an orthogonal matrix is used as the projection pattern of ghost imaging to improve the definition of the reconstructed images. The ciphertext of the secret image is constrained to the camouflaged image. The key of the camouflaged image is obtained by the method of sparse decomposition by principal component orthogonal basis and the constrained ciphertext. The information of the secret image is hidden into the information of the camouflaged image which can improve the security of the system. In the decryption process, the authorized user needs to extract the key of the secret image according to the obtained random sequences. The real encrypted information can be obtained. Otherwise, the obtained image is the camouflaged image. In order to verify the feasibility, security and robustness of the encryption system, binary images and gray-scale images are selected for simulation and experiment. The results show that the proposed encryption system simplifies the calculation process, and also improves the definition of the reconstructed images and the security of the encryption system.

강건설계를 이용한 흡기계의 저소음화 최적설계 (The Optimum Design for Low Noise Intake System using Robust Design)

  • 오재응;차경준;진정언;최익성;이정윤
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.1654-1660
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    • 2000
  • Recently, the regulations from the government and the concerns of people give rise to the interest in exhaust and intake noise of passenger car as much as other vehicles. In these demands, performance prediction software was developed in the previous study. In this study, Robust design was used for improving the noise reduction capacity of intake system with the performance prediction software. On the basis of the existing design, length and radius of each component that was thought to effect to capacity of intake system was selected. At first factors are arranged by using $L_{18}$ table of orthogonal array and then optimum value can be obtained by $L_{16}$ table of orthogonal array.

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Planar Directional Beam Antenna Design for Beam Switching System Applications

  • Lee, Seok-Jae;Yoon, Won-Sang;Han, Sang-Min
    • Journal of electromagnetic engineering and science
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    • 제17권1호
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    • pp.14-19
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    • 2017
  • In this paper, a planar directional beam-switchable antenna with four orthogonal beam directions is proposed. The proposed antenna is designed with two crossed active elements and two parasitic elements for each direction. The design methodology is described on the basis of the Yagi-Uda method for the active and parasitic elements, respectively. By adjusting the effective electric lengths of the parasitic elements, the roles of a director and a reflector are exchanged with each other. The planar four-way beam-switchable Yagi-Uda antenna is implemented. From the experimental results. The proposed design method is verified for orthogonal radiation beam switching.

직교함수를 사용한 신경회로망에 대한 연구 (The Study of Neural Networks Using Orthogonal Function System)

  • 권성훈;최용준;이정훈;손동설;엄기환
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 1999년도 추계종합학술대회
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    • pp.214-217
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    • 1999
  • 본 논문에서는 시그모이드 함수와 시그모이드 함수의 도함수로 유도한 RBF의 직교관계에 착안하여 은닉충에 직교함수를 활성화함수로 갖는 신경회로망을 제안한다. 제안하는 신경회로망을 직교신경회로망(ONN)이라고 한다. 제안한 방식의 유용성을 확인하기 위하여 비선형 함수의 근사 시뮬레이션에 의해 사상능력을 검토하고, 각각의 단일함수만을 적용한 경우와 비교·검토한다.

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