Minimizing and maximizing the joint space-spatial frequency uncertainty of Gabor-like functions: comment.
We dispute the claim that Hermite functions (similar to derivatives of Gaussians) minimize a joint uncertainty relation in space and spatial frequency. These functions are found to maximize rather than minimize the uncertainty of the class of functions consisting of an mth-order polynomial times a Gaussian.
Klein
S A
SA
School of Optometry, University of California, Berkeley 94720.
Beutter
B
B
D016011:Normal Distribution; D013028:Space Perception / Q000502:physiology*