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) …

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 …

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 …

We have observed that if one restricts the von Neumann lattice to N points on the time axis
and M points in the frequency axis there are, by definition, only MN independent Gabor …

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 …

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 …

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 …

TN = Tm®Sm /2lT -T2 Page 1 required to describe the large-signal distortion are/), and e/g0,
which are obtained from small-signal measurements. The value of e/g0 can be obtained by …

A generalized lapped orthonormal transform (GLOT) formulation is presented for the
analysis and synthesis of signals. This formulation is composed of a variable width window …

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 …