Journal article
Gabor Frames in ℓ2(Z) and Linear Dependence
We prove that an overcomplete Gabor frame in (Formula presented.) generated by a finitely supported sequence is always linearly dependent. This is a particular case of a general result about linear dependence versus independence for Gabor systems in (Formula presented.) with modulation parameter 1 / M and translation parameter N for some (Formula presented.) and generated by a finite sequence g in (Formula presented.) with K nonzero entries.
Language: | English |
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Publisher: | Springer US |
Year: | 2018 |
Pages: | 101-107 |
ISSN: | 15315851 and 10695869 |
Types: | Journal article |
DOI: | 10.1007/s00041-017-9572-4 |
ORCIDs: | Christensen, Ole and Hasannasab, Marzieh |