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 …

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 …

This paper considers the construction and fast computation of non-periodic discretizations of
the Gabor transform. We first derive a reasonable finite version of the continuous transform …

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 …

In this paper, we propose an alternative efficient method to calculate the Gabor coefficients
of a signal given a synthesis window with a support of size much lesser than the length of …

The Gabor transform may be viewed as a collection of localized Fourier transforms and as
such is useful for analysis of nonstationary signals and images. We present a new approach …

Abstract The Discrete Gabor Transform (DGT) is the most commonly used signal transform
for signal analysis and synthesis using a linear frequency scale. The development of the …

Conventional studies on discrete Gabor transforms have generally been confined to the
cases of critical sampling and oversampling in which the Gabor families span the whole …

Signal analysis with classical Gabor frames leads to a fixed time–frequency resolution over
the whole time–frequency plane. To overcome the limitations imposed by this rigidity, we …