Abstract
Reconstruction from samples for signals having finite Fourier expansions nave been discussed recently by J.L.Brown [1], in the setting of Hilbert space with reproducing kernel. This setting generalises to other truncated expansions; however the interplay between the existence and nature of explicit sampling formulae on the one hand, and the location of the sample points on the other, can be a delicate matter.
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J.L.Brown, “An RKHS analysis of sampling theorems for harmonic — limited signals”, IEEE Trans. ASSP — 33, No. 2, 1985, p. 437–440.
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© 1987 Springer-Verlag Berlin Heidelberg
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Higgins, J.R. (1987). Finite Spherical Analogues of the Whittaker-Shannon Sampling Theorem. In: Meyer-Ebrecht, D. (eds) ASST ’87 6. Aachener Symposium für Signaltheorie. Informatik-Fachberichte, vol 153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73015-3_7
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DOI: https://doi.org/10.1007/978-3-642-73015-3_7
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