Title :
Dynamical sampling of two-dimensional temporally-varying signals
Author :
Aceska, Roza ; Petrosyan, Armenak ; Sui Tang
Author_Institution :
Dept. of Math. Sci., Ball State Univ., Muncie, IN, USA
Abstract :
The problem of recovering an evolving signal from a set of samples taken at different time instances, has been well-studied for one-variable signals on both discrete and continuous domains [4]-[8]. Most sampling problems in applications involve spatial coordinates, that is, the observed time-variant signals are described by at least two spatial variables. We state the problem of spatio-temporal sampling for two-variable data and provide specific reconstruction results in the ℓ2(Z × Z) case.
Keywords :
signal reconstruction; signal sampling; continuous domain; discrete domain; dynamical sampling; one-variable signal; signal reconstruction; spatial coordinate; spatial variable; spatio-temporal sampling; time-variant signal; two-dimensional temporally-varying signal; Convolution; Electronic mail; Fourier transforms; Kernel; Power system stability; Sensors;
Conference_Titel :
Sampling Theory and Applications (SampTA), 2015 International Conference on
Conference_Location :
Washington, DC
DOI :
10.1109/SAMPTA.2015.7148929
