Sampling formula for convolution with a prolate
2008 (English)In: International Journal of Computer Mathematics, ISSN 0020-7160, E-ISSN 1029-0265, Vol. 85, no 3-4, 487-496 p.Article in journal (Refereed) Published
Eigenfunctions of the Finite Fourier Transform, often referred to as 'prolates', are band-limited and highly concentrated at a finite time-interval. Both features are acquired by the convolution of a band-limited function with a prolate. This permits interpolation of such a convolution by the Walter and Shen sampling formula in terms of prolates, although the Fourier transform of the convolution is not necessarily even continuous and the concentration interval is twice as large as that of a prolate. Rigorous error estimates are given as dependent on the truncation limits. The accuracy achieved is tested by numerical examples.
Place, publisher, year, edition, pages
2008. Vol. 85, no 3-4, 487-496 p.
sampling formula, band-limited function, time-concentrated function, finite Fourier transform, prolate spheroidal wave functions
IdentifiersURN: urn:nbn:se:uu:diva-149867DOI: 10.1080/00207160701326772ISI: 000254347200016OAI: oai:DiVA.org:uu-149867DiVA: diva2:405885