论文信息 - BIORTHOGONAL SYSTEMS TO RATIONAL FUNCTIONS

BIORTHOGONAL SYSTEMS TO RATIONAL FUNCTIONS

In this paper we start from a given rational function system and take the linear space spanned by it. Then in this linear space we construct a rational function system that is biorthogonal to the original one. By means of biorthogonality expansions in terms of the original rational functions can be easily given. For the discrete version we need to choose the points of discretization and the weight function in the discrete scalar product in a proper way. Then we obtain that the biorthogonality relation holds true for the discretized systems as well.

Ferenc Schipp | S. Fridli | F. Schipp | S. Fridli

[1] B. Porat,et al. Digital Spectral Analysis with Applications. , 1988 .

[2] Ferenc Schipp,et al. Rational Function Systems in ECG Processing , 2011, EUROCAST.

[3] Satoru Takenaka. On the Orthogonal Functions and a New Formula of Interpolation , 1925 .

[4] D. F. Mayers. INTERPOLATION BY RATIONAL FUNCTIONS , 1966 .

[5] Bart W. Stuck,et al. A Computer and Communication Network Performance Analysis Primer (Prentice Hall, Englewood Cliffs, NJ, 1985; revised, 1987) , 1987, Int. CMG Conference.

[6] Interpolation by Rational Functions with Nodes on the Unit Circle , 1999 .

[7] Jozsef Bokor,et al. Approximate Identification in Laguerre and Kautz Bases , 1998, Autom..

[8] R. Langer. Interpolation and Approximation by Rational Functions in the Complex Domain , 1937 .

[9] B. Wahlberg,et al. Modelling and Identification with Rational Orthogonal Basis Functions , 2000 .

[10] W. M. Carey,et al. Digital spectral analysis: with applications , 1986 .

[11] J. Bokor,et al. Frequency domain identification of partial fraction models , 2002 .