This paper describes a novel approach for nonorthogonal representation of signals using
Gaussians and an extension of this method for Gabor representation of signals, based on …

A method for calculating the coefficients of the Gabor expansion in the case of oversampling
is presented. The method is based on the concept of frames and utilizes the Zak transform …

We present a Gabor transform for real, discrete signals and present a computationally
attractive method for computing the transform. For the critically sampled case, we derive a …

A feasible algorithm for implementing the Gabor expansion, the coefficients of which are
computed by the discrete Gabor transform (DGT), is presented. For a given synthesis …

Properties of the Gabor transformation used for image representation are discussed. The
properties can be expressed in matrix notation, and the complete Gabor coefficients can be …

Time-frequency analysis, such as the Gabor transform, plays an important role in many
signal processing applications. The redundancy of such representations is often directly …

Adaptive Gabor transforms Page 1 Appl. Comput. Harmon. Anal. 13 (2002) 1–21 www.academicpress.com
Adaptive Gabor transforms Ingrid Daubechies and Fabrice Planchon ∗,1 Program in Applied …

Like the DFT/spl minus/a discrete version of the Fourier transform/spl minus/the recently
developed discrete Gabor transform (DGT) provides a feasible vehicle to implement the very …

The Gabor expansion comprises a window function h (t) whose effective width is T 1, a shift
parameter T controlling the window's discrete shift along t and a Fourier kernel sampled at a …

Certain vector sequences in Hermitian or in Hilbert spaces, can be orthogonalized by a
Fourier transform. In the finite-dimensional case, the discrete Fourier transform (DFT) …