• 제목/요약/키워드: orthogonal function

검색결과 467건 처리시간 0.027초

직교함수를 은닉층에 지닌 신경회로망에 대한 연구 (The Study of Neural Networks Using Orthogonal function System in Hidden-Layer)

  • 권성훈;최용준;이정훈;유석용;엄기환;손동설
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 1999년도 하계종합학술대회 논문집
    • /
    • pp.482-485
    • /
    • 1999
  • In this paper we proposed a heterogeneous hidden layer consisting of both sigmoid functions and RBFs(Radial Basis Function) in multi-layered neural networks. Focusing on the orthogonal relationship between the sigmoid function and its derivative, a derived RBF that is a derivative of the sigmoid function is used as the RBF in the neural network. so the proposed neural network is called ONN(Orthogonal Neural Network). Identification results using a nonlinear function confirm both the ONN's feasibility and characteristics by comparing with those obtained using a conventional neural network which has sigmoid function or RBF in hidden layer

  • PDF

FINITE INTEGRALS ASSOCIATED WITH THE PRODUCT OF ORTHOGONAL POLYNOMIALS AND WRIGHT FUNCTION

  • Khan, Nabiullah;Khan, Mohammad Iqbal;Khan, Owais
    • 호남수학학술지
    • /
    • 제43권4호
    • /
    • pp.597-612
    • /
    • 2021
  • Several useful and interesting extensions of the various special functions have been introduced by many authors during the last few decades. Various integral formulas associated with Wright function have been studied and a noteworthy amount of work have found in literature. The principal object of the present paper is to evaluate finite integral formulas containing the product of orthogonal polynomials with generalized Wright function. These integral formulas are expressed in terms of Srivastava and Daoust function. Some interesting particular cases are obtained from the main results by specialising the suitable values of the parameters involved.

적합직교분해법을 이용한 항공기 날개 스킨 복합재 샌드위치 구조의 다분야 최적화 (Multi-disciplinary Optimization of Composite Sandwich Structure for an Aircraft Wing Skin Using Proper Orthogonal Decomposition)

  • 박찬우;김영상
    • 한국항공우주학회지
    • /
    • 제47권7호
    • /
    • pp.535-540
    • /
    • 2019
  • MDO(Multi-disciplinary Optimization)를 위한 서로 다른 모델 간의 결합은 계산 프레임 워크의 복잡성을 크게 증가시키는 동시에 CPU 시간과 메모리 사용을 증가시킨다. 이러한 어려움을 극복하기 위해 POD(Proper Orthogonal Decomposition)와 RBF(Radial Basis Function)를 사용하여 복합 샌드위치 구조가 항공기 날개 스킨 재료로 사용될 때 복합재와 샌드위치 코어의 두께를 결정하는 최적화 문제의 해를 구했다. POD와 RBF를 사용하여 날개 형상과 하중 데이터에 대한 대리 모델을 만들었으며 대리 모델에 의해 얻어진 목적 함수 및 제약 함수 값을 사용하여 최적해를 구하였다.

STRUCTURE RELATIONS OF CLASSICAL MULTIPLE ORTHOGONAL POLYNOMIALS BY A GENERATING FUNCTION

  • Lee, Dong Won
    • 대한수학회지
    • /
    • 제50권5호
    • /
    • pp.1067-1082
    • /
    • 2013
  • In this paper, we will find some recurrence relations of classical multiple OPS between the same family with different parameters using the generating functions, which are useful to find structure relations and their connection coefficients. In particular, the differential-difference equations of Jacobi-Pineiro polynomials and multiple Bessel polynomials are given.

Identification of System from Generalized Orthogonal Basis Function Expansions

  • Bae, Chul-Min;Wada, Kiyoshi
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2001년도 ICCAS
    • /
    • pp.26.1-26
    • /
    • 2001
  • In this paper, we will expand and generalize the orthogonal functions as basis functions for dynamical system representations. 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. It is shown row we can exploit these generalized basis functions to increase the speed of convergence in a series expansion. The set of Kautz functions is discussed in detail and, using the power-series equivalence, the truncation error is obtained. And so we will present the influence of noises to use Kautz function on the identification accuracy.

  • PDF

Another Look at Average Formulas of Nevanlinna Counting Functions of Holomorphic Self-maps of the Unit Disk

  • Kim, Hong-Oh
    • Kyungpook Mathematical Journal
    • /
    • 제48권1호
    • /
    • pp.155-163
    • /
    • 2008
  • This is an extended version of the paper [K] of the author. The average formulas on the circles and disks around arbitrary points of Nevanlinna counting functions of holomorphic self-maps of the unit disk, given in terms of the boundary values of the selfmaps, are shown to give another characterization of the whole class or a special subclass of inner functions in terms of Nevanlinna counting function in addition to the previous applications to Rudin's orthogonal functions.

마이크로 스피커 다이어프램의 진동해석 (Vibration Analysis of Micro Speaker Diaphragm)

  • 홍도관;우병철;안찬우;한근조
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2005년도 춘계학술대회논문집
    • /
    • pp.551-554
    • /
    • 2005
  • This study uses a characteristic function to explain correlations between the objective function and design variables. Analysis of means and table of orthogonal array were carried out. The change of shape of diaphragm, thickness of diaphragm and voice coil weight based on the table of orthogonal array is made. Therefore this study carried to decide shape of diaphragm, voice coil weight and thickness of diaphragm for minimizing 1st natural frequency and maximizing 2nd natural frequency of diaphragm using design of experiments and characteristic function with constraints. we showed improved design factors that minimized 1st natural frequency and maximized 2nd natural frequency of diaphragm.

  • PDF

근사직교 경계고정 곡선좌표계를 사용한 수치적 격자생성 (The numerical grid generation using the nearly orthogonal boundary-fitted curvilinear coordinate systems)

  • 맹주성;신종균
    • 대한기계학회논문집
    • /
    • 제12권3호
    • /
    • pp.561-565
    • /
    • 1988
  • 본 연구에서는 제어함수를 수식으로부터 유도하여 자동적인 격자간격제어가 가능한 "근사직교 경계고정곡선좌표계"를 생성하는 새로운 방법을 제시하여 2차원영역 에 대한 그 적용을 논의하고자 한다. 논의하고자 한다.

마이크로 스피커 다이아프램의 형상설계에 관한 연구 (A Study on the Shape Design of Micro Speaker Diaphragm)

  • 홍도관;우병철;김동영;안찬우
    • 한국소음진동공학회논문집
    • /
    • 제15권7호
    • /
    • pp.775-780
    • /
    • 2005
  • This study uses a characteristic function to explain correlations between the objective function and design variables. Analysis of means and table of orthogonal array were carried out. The change of shape of diaphragm, thickness of diaphragm and voice coil weight based on the table of orthogonal array Is made. Therefore this study carried to decide design variables for minimizing 1st natural frequency and maximizing 2nd natural frequency of diaphragm using design of experiments and characteristic function with constraints. we showed improved design variables.

3G CDMA 시스템을 위한 확장 준직교 함수 (Extended Quasi Orthogonal Functions for 3G CDMA Systems)

  • 이광재;문명룡;;이문호
    • 한국전자파학회논문지
    • /
    • 제16권7호
    • /
    • pp.697-708
    • /
    • 2005
  • 3G CDMA 시스템의 순방향 링크는 사용자 수의 증가에 따른 제한을 받게 된다. 기존의 채널 구분을 위한 부호인 Walsh 부호는 많은 사용자에 대 한 충분한 크기를 갖지 못하므로, Walsh 부호와 최적의 상관 특성을 갖는 준직교 부호(QOF: Quasi Orthogonal Function)가 고려되고 있다. 본 논문에서는 3G CDMA 시스템에서 더 낮은 상관 값과 우수한 성능을 갖는 재킷 행렬 상에서의 준직교 수열 생성에 관해 고찰하였다. 또한 QOF CDMA 시스템의 검파기의 단순화 및 BER 성능 개선을 위한 새로운 검파 구조를 제시하였다. 마지막으로, QOF 마스크 함수를 위한 bent 수열의 간단한 반복 생성에 대해 고찰하였다.