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arXiv · 1705.02495

Time-frequency shift invariance of Gabor spaces generated by integer lattices

Carlos Cabrelli·Dae Gwan Lee·Ursula Molter·Goetz E. Pfander
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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.

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Carlos Cabrelli, Dae Gwan Lee, Ursula Molter, Goetz E. Pfander. 2017-05-06. Time-frequency shift invariance of Gabor spaces generated by integer lattices. https://arxiv.org/abs/1705.02495

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