Geodesic
Szegő quadrature and frequency analysis
Electronic transactions on numerical analysis, Tome 19 (2005), pp. 48-57
A series of papers have treated the frequency analysis problem by studying the zeros of orthogonal polynomials on the unit circle with respect to measures determined by observations of the signal. In the recent paper [3], a different approach was used, where properties of Szeg Acute$\Acute o$ quadrature formulas associated with the zeros of paraorthogonal polynomials with respect to the same measures were used to determine the frequencies and amplitudes in the signal. In this paper we carry this approach further, and obtain more conclusive results.
Classification : 41A55, 33C45
Keywords: szeg acute$\Acute o$ polynomials, szeg acute$\Acute o$ quadrature formula, frequency analysis problem 
@article{ETNA_2005__19__a5,
     author = {Daruis,  Leyla and Nj\r{a}stad,  Olav and Van Assche,  Walter},
     title = {Szeg\H{o} quadrature and frequency analysis},
     journal = {Electronic transactions on numerical analysis},
     pages = {48--57},
     year = {2005},
     volume = {19},
     zbl = {1122.41017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2005__19__a5/}
}
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Daruis,  Leyla; Njåstad,  Olav; Van Assche,  Walter. Szegő quadrature and frequency analysis. Electronic transactions on numerical analysis, Tome 19 (2005), pp. 48-57. http://geodesic.mathdoc.fr/item/ETNA_2005__19__a5/