Gabor multipliers are well-suited for the approximation of certain time-variant systems.
However, this class of systems is rather restricted. To overcome this restriction, multiple …

Starting from a general operator representation in the time-frequency domain, this paper
addresses the problem of approximating linear operators by operators that are diagonal or …

Starting from a general operator representation in the time-frequency do-main, this paper
addresses the problem of approximating linear operators by operators that are diagonal or …

We present a fast Fourier transform based algorithm which allows to obtain the best
approximation of a given time-variant linear system by approximating its matrix (in the Hilbert …

We propose here a new approach together with a corresponding class of algorithms for
offline estimation of linear operators mapping input to output signals. The operators are …

In the early days of Gabor analysis it was a common to say that Gabor expansions of signals
are interesting due to the natural interpretation of Gabor coefficients, but unfortunately the …

Modification of signals in the time-frequency domain are used in many applications.
However, the modification is often restricted to be purely multiplicative. In this paper, it is …

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 …

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 …

We propose a modification of the sampling series using a Gaussian multiplier. Error
estimates for the modified series to approximate a band-limited function and its derivatives …