Frame bounds and discretization error of the 1-D Gabor transform

Ludek Klimes


Discrete Gabor functions used for the Gabor transform form a frame. Approximate analytic expressions for the frame bounds of this frame are derived. These expressions can be used to study analytically both the discretization error of the continuous Gabor transform and the stability of the discrete Gabor transform in dependence on the phase-space lattice intervals.


Gabor function, Gabor transform, frame bounds, discretization error.

Whole paper

The image of the paper in GIF 150dpi (461 kB) is designed for an instant screen preview.

The paper is available in PostScript (128 kB) and GZIPped PostScript (45 kB).

In: Seismic Waves in Complex 3-D Structures, Report 18, pp. 95-108, Dep. Geophys., Charles Univ., Prague, 2008.
SW3D - main page of consortium Seismic Waves in Complex 3-D Structures .