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arXiv · 2601.17685

Sinh regularized Lagrangian nonuniform sampling series

Haixin Jiang·Xinyu Chen·Liang Chen
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Abstract

Recently, some window functions have been introduced into the nonuniform fast Fourier transform and the regularized Shannon sampling. Inspired by these works, we utilize a sinh-type function to accelerate the convergence of the Lagrangian nonuniform sampling series. Our theoretical error estimates and numerical experiments demonstrate that the sinh regularized nonuniform sampling series achieves a superior convergence rate compared to the fastest existing Gaussian regularized nonuniform sampling series.

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Haixin Jiang, Xinyu Chen, Liang Chen. 2026-02-10. Sinh regularized Lagrangian nonuniform sampling series. https://arxiv.org/abs/2601.17685

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