Bracciali, Cleonice Fátima [UNESP]Li, XRanga, A. S.2014-05-202014-05-202004-01-01Mathematics of Computation. Providence: Amer Mathematical Soc, v. 74, n. 249, p. 341-362, 2004.0025-5718http://hdl.handle.net/11449/21707We study the use of para-orthogonal polynomials in solving the frequency analysis problem. Through a transformation of Delsarte and Genin, we present an approach for the frequency analysis by using the zeros and Christoffel numbers of polynomials orthogonal on the real line. This leads to a simple and fast algorithm for the estimation of frequencies. We also provide a new method, faster than the Levinson algorithm, for the determination of the reflection coefficients of the corresponding real Szego polynomials from the given moments.341-362engfrequency analysis problemfrequency estimationOrthogonal polynomialsSzego polynomialspara-orthogonal polynomialsquadratureArtigo10.1090/S0025-5718-04-01672-2WOS:000224383800016Acesso aberto830032245262246735871233097456100000-0002-6823-4204