Meinsma, Gjerrit (Univ. of Twente), Mirkin, Leonid (Technion - IIT)

System Theoretic Perspectives of the Sampling Theorem

Scheduled for presentation during the Regular Session "Sampled-data control I" (TuA09), Tuesday, July 25, 2006, 11:15−11:40, Room J

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 27, 2023

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 L2 or Linf) optimal model-matching problem in the lifted domain. This leads to an alternative proof of the celebrated Sampling Theorem and some interesting extensions.