Some Weyl-Heisenberg frame bound calculations

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Abstract

We calculate for several g ¿ L2(R) and for integer values of 1/ab the frame bounds and, when possible, the minimum energy dual functions °¿ for the set of time-frequency translates of g corresponding to the lattice parameters a, b. For this we use a recently derived expression for frame bounds and biorthogonal functions in terms of translates of g corresponding to the complementary lattice with parameters 1/b, 1/a.
Original languageEnglish
Pages (from-to)165-183
Number of pages19
JournalIndagationes Mathematicae. New Series
Volume7
Issue number2
DOIs
Publication statusPublished - 1996

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