A. Janssen

most citedHyperbolic secants yield Gabor frames

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math.FA2003★ 4 cited

Hyperbolic secants yield Gabor frames

A. J. E. M. Janssen, Thomas Strohmer

We show that $(g_{2}, a, b)$ is a Gabor frame when $a > 0, b > 0, ab < 1$ and $g_{2} (t) = (1/2 π γ)^{1/2} (cosh π γ t)^{- 1}$ is a hyperbolic secant with scaling parameter $γ > 0$ . This is accomplis…

math.FA1999

Weyl-Heisenberg Frames, Translation Invariant Systems and the Walnut Representation

Peter G. Casazza, Ole Christensen, A. J. E. M. Janssen

We present a comprehensive analysis of the convergence properties of the frame operators of Weyl-Heisenberg systems and shift-invariant systems, and relate these to the convergence…