Gradient Estimation Using Lagrange Interpolation Polynomials
نویسندگان
چکیده
منابع مشابه
Stieltjes polynomials and Lagrange interpolation
Bounds are proved for the Stieltjes polynomial En+1, and lower bounds are proved for the distances of consecutive zeros of the Stieltjes polynomials and the Legendre polynomials Pn. This sharpens a known interlacing result of Szegö. As a byproduct, bounds are obtained for the Geronimus polynomials Gn. Applying these results, convergence theorems are proved for the Lagrange interpolation process...
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A computationally eecient and accurate frequency estimation and tracking algorithm is proposed, based on the Adaptive Frequency Estimator (AFE) of Etter and Hush. A Lagrange interpolator (a fractional delay lter) is used to estimate the gradient of the performance surface of the adaptation, which enables highly accurate estimation. The performance of the new algorithm is demonstrated in the con...
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ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 2008
ISSN: 0022-3239,1573-2878
DOI: 10.1007/s10957-007-9315-9