نتایج جستجو برای: orthogonal function

تعداد نتایج: 1253737  

2002
Christopher K. Wikle

Glossary AR(1): Autoregressive model of order one. The present state of a system can be described as a linear function of the state at the previous time, plus timeindependent noise. data assimilation: Method of optimally combining irregularly spaced observations with dynamical constraints to produce dynamically consistent fields on regular grids. CCA: Canonical Correlation Analysis EOF: Empiric...

Journal: :transactions on combinatorics 2015
hanieh amjadi nasrin soltankhah naji shajarisales mehrdad tahvilian

two latin squares of order $n$ are orthogonal if in their superposition, each of the$n^{2}$ ordered pairs of symbols occurs exactly once. colbourn, zhang and zhu, in a seriesof papers, determined the integers $r$ for which there exist a pair of latin squares oforder $n$ having exactly $r$ different ordered pairs in their superposition. dukes andhowell defined the same problem for latin squares ...

Journal: :journal of applied and computational mechanics 0
majid jamali school of mechanical engineering, iran university of science and technology, tehran, iran, [email protected] taghi shojaee school of mechanical engineering, iran university of science and technology, tehran, iran, bijan mohammadi school of mechanical engineering, iran university of science and technology, tehran, iran,

a comparison of buckling analysis of the nanoplate and nanocomposite plate with central square hole embedded in winkler foundation is presented in this article. in order to enhance mechanical properties of nanoplate with central cut out, carbon nano tubes (cnts) are applied as uniform distribution (ud) through thickness direction. in order to define the shape function of plate with square cut o...

Journal: :J. Complexity 2014
Yanzhao Cao Ying Jiang Yuesheng Xu

We study the orthogonal polynomial expansion on sparse grids for a function of d variables in a weighted L space. A fast algorithm is developed to compute the orthogonal polynomial expansion by combining the fast cosine transform, a fast transform from the Chebyshev orthogonal polynomial basis to the orthogonal polynomial basis for the weighted L space, and a fast algorithm of computing hierarc...

1997
Peter Rieder Josef A. Nossek

In this paperthe eflcient implementation of different types of orthogonal wavelet transforms with respect to practical applications is discussed. Orthogonal singlewuvelet triinsfornis being based on one scaling function and one wavelet function are used for denosing of signals. Orthogonal multiwavelets are bused on several scaling filnctions and several wavelets. Since they allow properties lik...

2016
Andrei Martínez-Finkelshtein Walter Van Assche Cesar E. Silva

Multiple orthogonal polynomials are polynomials of one variable that satisfy orthogonality conditions with respect to several measures. They are a very useful extension of orthogonal polynomials and recently received renewed interest because tools have become available to investigate their asymptotic behavior. They appear in rational approximation, number theory, random matrices, integrable sys...

Journal: :Wireless Sensor Network 2010
Yueyun Chen Zhenhui Tan

Applying the theorems of Mobius inverse and Dirichlet inverse, a general algorithm to obtain biorthogonal functions based on generalized Fourier series analysis is introduced. In the algorithm, the orthogonal function can be not only Fourier or Legendre series, but also can be any one of all orthogonal function systems. These kinds of biorthogonal function sets are used as scramble signals to c...

2002
X. Dai Y. Diao Q. Gu D. Han

A frame multiresolution (FMRA for short) orthogonal wavelet is a single-function orthogonal wavelet such that the associated scaling space V0 admits a normalized tight frame (under translations). In this paper, we prove that for any expansive matrix A with integer entries, there exist A-dilation FMRA orthogonal wavelets. FMRA orthogonal wavelets for some other expansive matrix with non integer ...

Journal: :IEEE Trans. Signal Processing 1998
Michael Unser Philippe Thévenaz Akram Aldroubi

Shift-orthogonal wavelets are a new type of multiresolution wavelet bases that are orthogonal with respect to translation (or shifts) within one level but not with respect to dilations across scales. In this paper, we characterize these wavelets and investigate their main properties by considering two general construction methods. In the first approach, we start by specifying the analysis and s...

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