Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605137 | Applied and Computational Harmonic Analysis | 2013 | 14 Pages |
Abstract
We review the methods in Beylkin and Monzón (2002) [4], and Xiao et al. (2001) [24], for constructing quadratures for bandlimited exponentials and introduce a new algorithm for the same purpose. As in Beylkin and Monzón (2002) [4], our approach also yields generalized Gaussian quadratures for exponentials integrated against a non-sign-definite weight function. In addition, we compute quadrature weights via ℓ2 and ℓ∞ minimization and compare the corresponding quadrature errors.
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