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Gabor frames by sampling and periodization

✍ Scribed by Peter L. Søndergaard

Publisher
Springer
Year
2007
Tongue
English
Weight
323 KB
Volume
27
Category
Article
ISSN
1019-7168

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✍ Ole Christensen 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 160 KB

We show the existence of a "best approximation solution" to the set of equations f, f i = a i , i ∈ I, where {f i } i∈I is a frame for a Hilbert space (H, •, • ) and {a i } i∈I ∈ l 2 (I). We derive formulas showing how the solution changes if {a i } i∈I or {f i } i∈I is perturbed. We explain why the