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

作者：Li, Shidong; Liu, Yulong; Mi, Tiebin^*

来源：Journal of Fourier Analysis and Applications, 2013, 19(1): 48-76.

DOI：10.1007/s00041-012-9243-4

• Frames
• Sparse dual frames
• Gabor functions
• Sparse dual Gabor functions
• Duality condition
• l(1)-Minimization

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.

• 出版日期2013-2
• 单位中国人民大学