Weighted and controlled frames have been introduced recently to improve the numerical
efficiency of iterative algorithms for inverting the frame operator. In this paper, we develop …

Abstract The Large Time Frequency Analysis Toolbox (LTFAT) is a modern Octave/Matlab
toolbox for time-frequency analysis, synthesis, coefficient manipulation and visualization. It's …

A noniterative method for the reconstruction of the short-time fourier transform (STFT) phase
from the magnitude is presented. The method is based on the direct relationship between …

In this paper, time-frequency (TF) decomposition (TFD) is studied in the framework of sparse
regularization theory. The short-time Fourier transform is first formulated as a convex …

The Linear Time Frequency Analysis Toolbox is a MATLAB/Octave toolbox for computational
time-frequency analysis. It is intended both as an educational and computational tool. The …

We discuss the concepts of pseudo-dual frames and approximately dual frames, and
illuminate their relationship to classical frames. Approximately dual frames are easier to …

We present an algorithm for removing time-frequency components, found by a standard
Gabor transform, of a ldquoreal-worldrdquo sound while causing no audible difference to …

This paper describes a method for obtaining a perceptually motivated and perfectly
invertible time-frequency representation of a sound signal. Based on frame theory and the …

This review chapter aims to strengthen the link between frame theory and signal processing
tasks in psychoacoustics. On the one side, the basic concepts of frame theory are presented …

In this article, we introduce and characterize approximate duality for g-frames. We get some
important properties and applications of approximate duals. We also obtain some new …