Discretized Gabor Frames of Totally Positive Functions

作者：Bannert Severin^*; Groechenig Karlheinz; Stoeckler Joachim

来源：IEEE Transactions on Information Theory, 2014, 60(1): 159-169.

DOI：10.1109/TIT.2013.2288640

• Dual window
• Gabor frame
• Riesz sequence
• totally positive function
• Weyl-Heisenberg frame
• window function

In this paper, a large class of universal windows for Gabor frames (Weyl-Heisenberg frames) is constructed. These windows have the fundamental property that every overcritical rectangular lattice generates a Gabor frame. Likewise, every undercritical rectangular lattice generates a Riesz sequence.

• 出版日期2014-1