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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2015 Issue 1, Pages 31–35 (Mi uzeru10)

This article is cited in 2 papers

Mathematics

Dynamical sampling with moving devices

A. L. Petrosyanab

a Vanderbilt University, Nashville, Tennessee
b Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan

Abstract: The dynamical sampling problem is a new problem in sampling theory dealing with reconstruction of a function from its spatio-temporal samples. The question of reconstructing the signal, when the positions of measuring devices or sensors are not changing over time has been studied earlier. The focus of this paper is on the case when devices are allowed to move. This, for example, may happen when devices are placed on moving cars and measure the air pollution as they travel within a polluted area.

Keywords: sampling and reconstruction.

MSC: Primary 94A20; Secondary 40C05

Received: 29.01.2015
Accepted: 16.02.2015

Language: English



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