Abstract
Stability plays a crucial role in frame theory and its applications. The present paper studies the interaction between Gabor frames and perturbations, presenting perturbation results related to small changes of the frame parameters and the window functions both in regular and irregular settings. Examples are provided for illustration. Additionally, the paper briefly discusses algorithms pertinent to Gabor frames under perturbations and highlights challenging areas in the field.
Recommended Citation
Touthang, Jamkhongam
(2025).
(SI15-010) On Perturbations of Gabor Frames,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
4, Article 7.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss4/7