A Necessary Condition for Weyl-Heisenberg Frames

a necessary condition for weyl-heisenberg frames

The Duality Condition for Weyl-heisenberg Frames

Perturbations of Weyl-heisenberg Frames

for all f ∈ H . The constant A (respectively, B) is a lower (resp. upper) frame bound for the frame. One of the most important frames for applications, especially signal processing, are the Weyl-Heisenberg frames. For g ∈ L(R) we define the translation parameter a > 0 and the modulation parameter b > 0 by: Embg(t) = e , Tnag(t) = g(t− na). For g ∈ L(R) and a, b > 0, we say for short that (g, a,...

Classifying Tight Weyl-heisenberg Frames

φ-factorable operators and Weyl-Heisenberg frames on LCA groups

Bracket Products for Weyl-heisenberg Frames

Abstract. We provide a detailed development of a function valued inner product known as the bracket product and used effectively by de Boor, Devore, Ron and Shen to study translation invariant systems. We develop a version of the bracket product specifically geared to Weyl-Heisenberg frames. This bracket product has all the properties of a standard inner product including Bessel’s inequality, a...