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Sinh正则拉格朗日非均匀采样序列

英文摘要

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.

陈亮、江海新、陈信宇

九江学院九江学院澳门科技大学

数学

非均匀采样带宽有限函数威尔斯托拉斯分解

nonuniform samplingbandlimited functionsWeierstrass factorization

陈亮,江海新,陈信宇.Sinh正则拉格朗日非均匀采样序列[EB/OL].(2025-05-11)[2025-05-14].https://chinaxiv.org/abs/202505.00102.点此复制

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