TY - JOUR
T1 - Investigations of the effects of random sampling schemes on the stability of generalized sampling
AU - Jacobsen, Christian Robert Dahl
AU - Møller, Jesper
AU - Nielsen, Morten
AU - Rasmussen, Morten Grud
PY - 2018/9
Y1 - 2018/9
N2 - Generalized sampling is a mathematical technique for obtaining approximations of signals with respect to different representations in a numerically stable manner. This can for example be relevant in processing MRI images, where hardware often enforces initial frequency measurements, but where a wavelet basis may be better suited for representing the image. Recently the theory of generalized sampling was extended to work with arbitrary patterns in R
d. In this article we investigate how the choice of the probability distribution generating random sampling schemes in R
2 affects the numerical stability of generalized sampling.
AB - Generalized sampling is a mathematical technique for obtaining approximations of signals with respect to different representations in a numerically stable manner. This can for example be relevant in processing MRI images, where hardware often enforces initial frequency measurements, but where a wavelet basis may be better suited for representing the image. Recently the theory of generalized sampling was extended to work with arbitrary patterns in R
d. In this article we investigate how the choice of the probability distribution generating random sampling schemes in R
2 affects the numerical stability of generalized sampling.
U2 - 10.1016/j.acha.2017.09.004
DO - 10.1016/j.acha.2017.09.004
M3 - Letter
SN - 1063-5203
VL - 45
SP - 453
EP - 461
JO - Applied and Computational Harmonic Analysis
JF - Applied and Computational Harmonic Analysis
IS - 2
ER -