A Direct Interpolation Method for Irregular Sampling

详细信息    查看全文

• 作者：Flornes ; Kristin M. ; Lyubarskii ; Yurii ; Seip ; Kristian
• 刊名：Applied and Computational Harmonic Analysis
• 出版年：1999
• 出版时间：November, 1999
• 年：1999
• 卷：7
• 期：3
• 页码：305-314
• 全文大小：104 K

文摘

In this paper, band-limited functions are reconstructed from their values taken at a sequence of irregularly spaced sample points. We use a modified Lagrange formula, which is attributed to Boas and Bernstein. The formula used in this paper differs from the classical Boas–Bernstein formula in the following way. Instead of using infinite canonical products with respect to the whole sequence of sample points, we use canonical products with respect to sequences of sample points which are irregularly spaced only on finite intervals. Estimates for the truncation error of this reconstruction method are given.