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 …

Equations for the continuous-parameter Gabor transform are presented and converted to
finite discrete form suitable for digital computation. A comparative assessment of the …

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 …

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 discrete Gabor (1946) transform algorithm is introduced that provides an efficient
method of calculating the complete set of discrete Gabor coefficients of a finite-duration …

This paper extends the efficient factorization of the Gabor frame operator developed by
Strohmer to the Gabor analysis/synthesis operator. The factorization provides a fast method …

Recent interest in the Gabor transform for time-frequency signal analysis can be attributed in
part to increased knowledge about the accuracy, stability and complexity of algorithms for …

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 …

We develop fast computations of discrete Gabor transforms. We present algorithms for
computations of both Gabor analysis and Gabor synthesis via the fast Fourier transform. The …

The properties of the discrete Gabor scheme are considered in the context of oversampling.
The approach is based on the concept of frames and utilizes the piecewise finite Zak …