B-Spline Approximations of the Gaussian, their Gabor Frame Properties, and Approximately Dual Frames
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-017-9557-3
Abstract: We prove that Gabor systems generated by certain scaled B-splines can be considered as perturbations of the Gabor systems generated by the Gaussian, with a deviation within an arbitrary small tolerance whenever the order N… read more here.
Keywords: spline approximations; gabor frame; scaled splines; approximations gaussian ... See more keywords
Fast Operations for a Gabor-Frame-Based Integral Equation With Equidistant Sampling
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Antennas and Wireless Propagation Letters"
DOI: 10.1109/lawp.2017.2775702
Abstract: We consider the computation time of a three-dimensional Gabor-frame-based spatial–spectral integral equation solver for scattering from dielectric objects embedded in a multilayer medium. Based on the Gabor frame, a new set of basis functions is… read more here.
Keywords: fast operations; integral equation; gabor frame; frame based ... See more keywords