Gabor Frames for Model Sets
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-019-09674-0
Abstract: We generalize three main concepts of Gabor analysis for lattices to the setting of model sets: fundamental identity of Gabor analysis, Janssen’s representation of the frame operator and Wexler–Raz biorthogonality relations. Utilizing the connection between… read more here.
Keywords: gabor frames; analysis; model sets; model ... See more keywords
On compactly supported dual windows of Gabor frames
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125436
Abstract: Abstract The main purpose of the paper is to give a characterization of all compactly supported dual windows of a Gabor frame. As an application, we consider an iterative procedure for approximation of the canonical… read more here.
Keywords: dual windows; gabor frames; compactly supported; supported dual ... See more keywords
Statistically Optimal Estimation of Signals in Modulation Spaces Using Gabor Frames
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2022.3152734
Abstract: Time-frequency analysis deals with signals for which the underlying spectral characteristics change over time. The essential tool is the short-time Fourier transform, which localizes the Fourier transform in time by means of a window function.… read more here.
Keywords: time; fourier transform; gabor frames; signals modulation ... See more keywords