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Showing 1 to 2 of 2 for “"Gabor frames"”.
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Gabor frames with trigonometric spline dual windows
A Gabor system is a collection of modulated and translated copies of a window function. If we have a signal in $L^2(\mathbb{R})$, it can be analyzed with a Gabor system generated by a certain window $g$ and then synthesized with a Gabor system generated by another window $h$. If this leads us to a …
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Constant Amplitude Zero Autocorrelation Sequences and Single Pixel Camera Imaging
… to CAZAC sequences. We then apply them to Gabor frames and prove a condition for checking when Gabor systems generated by a CAZAC sequence are tight frames. We also construct multiple examples using this condition. Finally, we explore natural generalizations of CAZAC sequences to the torus …