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Approximating a bandlimited function in terms of its samples

✍ Scribed by U. Hettich; R.L. Stens

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 506 KB
Volume: 40
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(00)00144-9

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✦ Synopsis

In order to reconstruct a bandlimited signal f from its sampled values, it is a standard practice to construct a step function from the samples, and then to smooth this step function by restricting its Fourier transform. The resulting function is used as an approximation for f. The aim of this paper is to generalize this process in order to decrease the approximation error.

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