• Title/Summary/Keyword: orthogonal function

Search Result 467, Processing Time 0.025 seconds

ORTHOGONAL TWO-DIRECTION REFINABLE FUNCTION OF ORDER 3

  • KWON, SOON-GEOL
    • Journal of applied mathematics & informatics
    • /
    • v.37 no.3_4
    • /
    • pp.307-315
    • /
    • 2019
  • In this paper we construct orthogonal two-direction scaling function of order 3 and corresponding wavelet function. In this paper we propose a different approach using orthogonal symmetric/antisymmetric multiwavelets of order 3. An example for constructing orthogonal two-direction scaling function of order 3 and corresponding wavelet function is given.

SOME COMPOSITION FORMULAS OF JACOBI TYPE ORTHOGONAL POLYNOMIALS

  • Malik, Pradeep;Mondal, Saiful R.
    • Communications of the Korean Mathematical Society
    • /
    • v.32 no.3
    • /
    • pp.677-688
    • /
    • 2017
  • The composition of Jacobi type finite classes of the classical orthogonal polynomials with two generalized Riemann-Liouville fractional derivatives are considered. The outcomes are expressed in terms of generalized Wright function or generalized hypergeometric function. Similar composition formulas are also obtained by considering the generalized Riemann-Liouville and $Erd{\acute{e}}yi-Kober$ fractional integral operators.

AN INVERSE HOMOGENEOUS INTERPOLATION PROBLEM FOR V-ORTHOGONAL RATIONAL MATRIX FUNCTIONS

  • Kim, Jeon-Gook
    • Journal of the Korean Mathematical Society
    • /
    • v.33 no.4
    • /
    • pp.717-734
    • /
    • 1996
  • For a scalar rational function, the spectral data consisting of zeros and poles with their respective multiplicities uniquely determines the function up to a nonzero multiplicative factor. But due to the richness of the spectral structure of a rational matrix function, reconstruction of a rational matrix function from a given spectral data is not that simple.

  • PDF

System Control Using Orthogonal Function (직교함수를 이용한 시스템의 제어)

  • Ahn, Doo-Soo
    • Proceedings of the KIEE Conference
    • /
    • 1998.07b
    • /
    • pp.468-470
    • /
    • 1998
  • We have studied system identification model reduction method, optimal control by orthogonal functions. This paper presents the easy method that solves algebra equations instead of differential equations using Walsh, Haar, Block pulse function of orthogonal functions in state equation. The proposed algorithm is verified through some examples.

  • PDF

Analysis of singular systems via block pulse function : Some new results (블럭펄스함수를 이용한 Singular 시스템 해석의 새로운 접근)

  • Ahn, P.;Jin, J.H.;Kim, B.K.
    • Proceedings of the KIEE Conference
    • /
    • 1998.11b
    • /
    • pp.410-412
    • /
    • 1998
  • Some resent papers deals with the solution of LTI singular systems described in state-space via orthogonal functions. There are some complexity to derive the solution because all the previous works[2]-[5] used orthogonal function's integral operation. Therefore, in this paper, some new results are introduced by using a differential operation of orthogonal function to solve the LTI singular systems.

  • PDF

ORTHOGONAL TWO-DIRECTION WAVELETS OF ORDER 2 FROM ORTHOGONAL SYMMETRIC/ANTISYMMETRIC MULTIWAVELETS

  • KWON, SOON-GEOL
    • Journal of applied mathematics & informatics
    • /
    • v.35 no.1_2
    • /
    • pp.181-189
    • /
    • 2017
  • A method for recovering Chui-Lian's orthogonal symmetric/antisymmetric multiwavelets of order 2 from orthogonal two-direction wavelets of order 2 was proposed by Yang and Xie. In this paper we pursue the converse, that is, we propose a method for constructing orthogonal two-direction wavelets of order 2 from orthogonal symmetric/antisymmetric multiwavelets of order 2.

Intrinsic Mode Function and its Orthogonality of the Ensemble Empirical Mode Decomposition Using Orthogonalization Method (직교화 기법을 이용한 앙상블 경험적 모드 분해법의 고유 모드 함수와 모드 직교성)

  • Shon, Sudeok;Ha, Junhong;Pokhrel, Bijaya P.;Lee, Seungjae
    • Journal of Korean Association for Spatial Structures
    • /
    • v.19 no.2
    • /
    • pp.101-108
    • /
    • 2019
  • In this paper, the characteristic of intrinsic mode function(IMF) and its orthogonalization of ensemble empirical mode decomposition(EEMD), which is often used in the analysis of the non-linear or non-stationary signal, has been studied. In the decomposition process, the orthogonal IMF of EEMD was obtained by applying the Gram-Schmidt(G-S) orthogonalization method, and was compared with the IMF of orthogonal EMD(OEMD). Two signals for comparison analysis are adopted as the analytical test function and El Centro seismic wave. These target signals were compared by calculating the index of orthogonality(IO) and the spectral energy of the IMF. As a result of the analysis, an IMF with a high IO was obtained by GSO method, and the orthogonal EEMD using white noise was decomposed into orthogonal IMF with energy closer to the original signal than conventional OEMD.