Gabor's expansion of a signal into a discrete set of shifted and modulated versions of an
elementary signal is introduced and its relation to sampling of the sliding-window spectrum …

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 …

In this paper we describe new methods to obtain (non-orthogonal) Gabor expansions of
discrete and finite signals. By this we understand the expansion of a signal of a given length …

This chapter is devoted to the study of the Walsh-Hadamard transform (WHT), which is
perhaps the most well-known of the nonsinusoidal orthogonal transforms. The WHT has …

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 …

The recomposition of an input time function into a set of spectral numbers or estimators by
representing the input in terms of an orthogonal function set is a classical approach for …

An enhanced version of a signal is obtained after subtraction of a linear combination of rank
one matrices from the signal observation matrix. This operation results in a nonToeplitz …

Gaussian functions are suitable for describing many processes in mathematics, science, and
engineering, making them very useful in the fields of signal and image processing. For …

A new approach for the description and operation of linear time-varying systems is
presented. The proposed formalism implements the superposition integral describing a …

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 …