A new extrapolation algorithm for band-limited signals using theregularization method |
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Authors: | Chen W. |
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Affiliation: | Dept. of Math., Armored Force Eng. Inst., Beijing ; |
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Abstract: | The ill-posedness of the extrapolation problem in the presence of noise is considered. A stable algorithm is constructed by solving a Fredholm equation based on a regularization method. The algorithm appears relatively robust, since the noise ηδ(t ) is taken as a function in L2[-T,T](T>0) such that the error energy ∫|ηδ(t)|2 dt⩽δ2, where integration is from - T to T, and the constructed extrapolation uniformly converges to the desired signal over (-∞, +∞) as δ→0. An estimate for the error energy of the constructed extrapolation over (-∞, +∞) and for the absolute error between the constructed extrapolation and the desired signal over (-∞, +∞) are presented |
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