Expansions of Functions Based on Rational Orthogonal Basis with Nonnegative Instantaneous Frequencies | Zendy

Xiaona Cui | Zendy; Suxia Yao | Zendy

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Expansions of Functions Based on Rational Orthogonal Basis with Nonnegative Instantaneous Frequencies

Author(s) -

Xiaona Cui,

Suxia Yao

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/526940

Subject(s) - basis (linear algebra) , mathematics , square integrable function , orthogonal basis , orthogonal functions , basis function , convergence (economics) , space (punctuation) , mathematical analysis , integrable system , fourier transform , fourier series , rational function , computer science , geometry , physics , quantum mechanics , economics , economic growth , operating system

We consider in this paper expansions of functions based on the rational orthogonal basis for the space of square integrable functions. The basis functions have nonnegative instantaneous frequencies so that the expansions make physical sense. We discuss the almost everywhere convergence of the expansions and develop a fast algorithm for computing the coefficients arising in the expansions by combining the characterization of the coefficients with the fast Fourier transform

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