Title :
Discretized Gabor Frames of Totally Positive Functions
Author :
Bannert, Severin ; Grochenig, Karlheinz ; Stockler, Joachim
Author_Institution :
Dept. of Math., Univ. of Vienna, Vienna, Austria
Abstract :
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.
Keywords :
OFDM modulation; signal processing; Riesz sequence; Weyl-Heisenberg frame; discretized Gabor frame; totally positive function; undercritical rectangular lattice; Fourier transforms; Lattices; OFDM; Shape; Time-frequency analysis; Wireless communication; Dual window; Gabor frame; Riesz sequence; Weyl-Heisenberg frame; totally positive function; window function;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2013.2288640
