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Janssen, A. J. E. M.

Some Weyl-Heisenberg frame bound calculations. (English) Zbl 1056.42512

Indag. Math., New Ser. 7, No. 2, 165-183 (1996).
Summary: We calculate for several \(g\in L^ 2(R)\) and for integer values of \(1/ab\) the frame bounds and, when possible, the minimum energy dual functions \(^ \circ\gamma\) 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 \(1/b,1/a\).

Cited in 1 Review
Cited in 51 Documents

MSC:

42C15 General harmonic expansions, frames
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
94A11 Application of orthogonal and other special functions
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
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References:

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