Time-frequency shift invariance of Gabor spaces generated by integer lattices
Classical Analysis and ODEs
2017-11-07 v2 Functional Analysis
Abstract
We study extra time-frequency shift invariance properties of Gabor spaces. For a Gabor space generated by an integer lattice, we state and prove several characterizations for its time-frequency shift invariance with respect to a finer integer lattice. The extreme cases of full translation invariance, full modulation invariance, and full time-frequency shift invariance are also considered. The results show a close analogy with the extra translation invariance of shift-invariant spaces.
Cite
@article{arxiv.1705.02495,
title = {Time-frequency shift invariance of Gabor spaces generated by integer lattices},
author = {Carlos Cabrelli and Dae Gwan Lee and Ursula Molter and Goetz E. Pfander},
journal= {arXiv preprint arXiv:1705.02495},
year = {2017}
}