System theoretic perspectives of the sampling theorem


Meinsma, Gjerrit and Mirkin, Leonid (2006) System theoretic perspectives of the sampling theorem. In: International Symposium on Mathematical Theory of Networks and Systems, 24-28 July 2006, Kyoto, Japan (pp. pp. 730-741).

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Abstract:In this paper we study the (classical) problem of reconstructing a continuous-time signal from its samples. We adopt a system-theoretical viewpoint of this problem. Namely, we assume that the continuous-time signal is modeled as the output of a linear time-invariant system and then formulate the reconstruction problem as the (either $L^2$ or $L^\infty$) optimal model-matching problem in the lifted domain. This leads to an alternative proof of the celebrated Sampling Theorem and some interesting extensions.
Item Type:Conference or Workshop Item
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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