Frame Bounds for Gabor Frames in Finite Dimensions
Publication date
2019-08-01
Authors
Salanevich, Palina
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Abstract
One of the key advantages of a frame compared to a basis is its redundancy. Provided we have a control on the frame bounds, this redundancy allows, among other things, to achieve robust reconstruction of a signal from its frame coefficients that are corrupted by noise, rounding error, or erasures. In this paper, we discuss frame bounds for Gabor frames (g, Λ) with generic frame set Λ and random window g. We show that, with high probability, such frames have frame bounds similar to the frame bounds of randomly generated frames with independent frame vectors.
Keywords
Frequency modulation, Noise measurement, Redundancy, Robustness, Image reconstruction, Signal to noise ratio, Machine-to-machine communications, probability, signal reconstruction, vectors, Taverne, Statistics and Probability, Signal Processing, Analysis, Statistics, Probability and Uncertainty, Applied Mathematics
Citation
Salanevich, P 2019, Frame Bounds for Gabor Frames in Finite Dimensions. in 2019 13th International Conference on Sampling Theory and Applications, SampTA 2019. IEEE, 13th International Conference on Sampling Theory and Applications, SampTA 2019, Bordeaux, France, 8/07/19. https://doi.org/10.1109/SampTA45681.2019.9030964, conference