, Volume 19, Issue 1, pp 48-76
Date: 26 Oct 2012

Sparse Dual Frames and Dual Gabor Functions of Minimal Time and Frequency Supports

Abstract

Exploitation of the optimality of (non-exact) frames from a sparse dual point of view is presented. Sparse dual frames and dual Gabor functions of the minimal time and/or frequency supports are studied and constructed through the notion of sparse representations. Conditions on the sparsest dual frames and the dual Gabor functions of the minimal time and/or frequency supports are discussed. Algorithms and examples are provided.

Communicated by Akram Aldroubi.