A note on Gabor frames in finite dimensions

作者：Malikiosis Romanos Diogenes^*

来源：Applied and Computational Harmonic Analysis, 2015, 38(2): 318-330.

DOI：10.1016/j.acha.2014.06.004

• Gabor frames
• Time-frequency analysis
• Signal recovery
• Operator identification

The purpose of this note is to present a proof of the existence of Gabor frames in general linear position in all finite dimensions. The tools developed in this note are also helpful towards an explicit construction of such a frame, which is carried out in the last section. This result has applications in signal recovery through erasure channels, operator identification, and time-frequency analysis.

• 出版日期2015-3
• 单位南阳理工学院