An Introduction to Frames and Riesz Bases by Ole Christensen

Author:Ole Christensen
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

Thus, finite subsets of a regular Gabor frame for are linearly independent. More results can be found in the paper [88] by Bownik and Speegle. The general conjecture is still open.

The linear independence of the elements in a frame has the surprising consequence that the lower frame bounds for finite subfamilies {E m b T n a g} | m | , | n | ≤ N (consequently considered as frames for the span of the elements, i.e., as frame sequences) are forced to go to zero for if is overcomplete:

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