Abstract
We will discuss the nonuniform samples of periodic signals first and then analyse any type of multidimensional signal. A bandlimited periodic signal is represented by a finite number of Fourier coefficients and hence can be represented by the same number of nonuniform samples per period. Therefore in general, random sampling at any rate is sufficient to retrieve the signal; this is because the random samples are distinct and occur at different epochs of time.
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Bibliography and Comments
N. T. Gaarder, “A note on multidimensional sampling theorem,” Proc. IEEE, vol. 60, pp.247–248, Feb. 1972. (The author tries to generalize periodic nonuniform sampling of Yen [158] to multidimensional signals. However, due to complexity of the equations, he considers a trivial, impractical case).
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© 1987 Springer-Verlag Berlin Heidelberg
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Marvasti, F.A. (1987). Nonuniform Sampling for Multidimensional Signals. 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_18
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DOI: https://doi.org/10.1007/978-3-642-73015-3_18
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