A note on Gabor frames in finite dimensions
arXiv:1304.7709 · doi:10.1016/j.acha.2014.06.004
Abstract
The purpose of this note is to present a proof of the existence of Gabor frames in general linear position in all finite dimensions. The tools developed in this note are also helpful towards an explicit construction of such a frame, which is carried out in the last section. This result has applications in signal recovery through erasure channels, operator identification, and time-frequency analysis.
10 pages
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