ISSN:
1572-9265
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract The Wiener-Levinson method and algorithm, formulated here in terms of Szegö polynomials ρ n (ψ N,I ;z) orthogonal on the unit circle, is used to find unknown frequencies ω j from anN-sample of a discrete time signal consisting of the superposition of sinusoidal waves with frequencies ω1,...,ω1. In a recent paper the authors (and W.J. Thron) have shown that zerosz(j, n, N, I) of ρ n (ψ N,I ;z) converge asN→∞ to the critical points $$e^{i\omega _j } $$ ,j=1, 2,...,I, providedn≥n 0 (I)=2I+L, whereL is 0 or 1. The present paper gives results on the convergence of zerosz(j, n, N, I) to some of the $$e^{i\omega _j } $$ for the case in whichn≤n 0 (I), wheren is the degree of ρ n (ψ N,I ;z).
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02141934
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